#geometry-and-trigonometry

1 messages · Page 167 of 1

past mantle
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Given perimeter

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Hold on

umbral snow
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You can construct 6 triangles in that shape. Each of them have an angle π/6 from the side. So, we can split this triangle in half and use trig for the apothem

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tan(π/6) = a / 1.5
a = 3/2 tan(π/6)
a = sqrt(3)/2

past mantle
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We only used degrees for trig

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Im not in algebra 2

umbral snow
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Oh. Then 30 degrees. 180/6

junior scaffold
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=tex tanx/-tan^2(x)

charred spearBOT
junior scaffold
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how do u simplify this

charred spearBOT
umbral snow
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What's u/u²?

junior scaffold
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so its -cotx

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?

mossy vine
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ye

past mantle
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is that right?

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had to find area

sudden stream
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How do you do this?

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The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base in meters.

reef cave
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basically

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u need to draw

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a diagonal

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whcihh makes 2 triangles

sudden stream
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@ToasterTomster#9783 do you know how to do this one

reef cave
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ye

sudden stream
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ok teach plz

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sp00nfeed xD

reef cave
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o hold n

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lemme see

sudden stream
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k

reef cave
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i think its 120

sudden stream
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ok

upper karma
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I hope that’s right and I hope that helps!

reef cave
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well ye

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one part of it is

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82

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but thats like

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part of angle mno

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u found mnp

upper karma
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OH

reef cave
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so u just do the same

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ya

upper karma
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my b

reef cave
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plus it has to be obtuse

upper karma
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xD

reef cave
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xD

upper karma
#

so then let me ask you, what do you have to do to find that angle?

reef cave
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erm

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lemme draw

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xD

upper karma
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cause i figured out my mistake

reef cave
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well

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no urs is right

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its like the step

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u jsut need to keep going

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ehre lemem draw it

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wait

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nvm

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im so dumb

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they wantd mnp all along

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@upper karma u were right

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Lol

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i thoguht we were looking for mno

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LOL

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apologies

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:3

upper karma
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all good haha

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i went back and thought i was solving for something else hence why i thought i made a mistake

covert osprey
chrome fiber
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convert everything to sine/cosine first.

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then use the pythagorean identity.

covert osprey
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cos^2 + sin^2 = 1?

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@chrome fiber

chrome fiber
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yes.

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try the first one.

covert osprey
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would I isolate cos or sine?

chrome fiber
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what are you given?

covert osprey
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cos(theta)

chrome fiber
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so you would isolate that.

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and you should notice that your expression will only be in terms of sine.

covert osprey
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cos^2 = 1 - sin^2?

chrome fiber
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one more step.

covert osprey
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ooo

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rad 1 -sin?

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sin^2*

chrome fiber
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yup.

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and remember, since you're taking the square root, you'd have two solutions, ome positive and one negative.

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but that's already covered.

covert osprey
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I see

chrome fiber
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can you do the rest?

covert osprey
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im a little stuck on cot(theta)

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bc I wrote cos(theta) / sin(theta)

chrome fiber
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you know already what cosine of theta is in terms of sine.

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and the denominator is in terms of sine already.

atomic knot
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Hey

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379

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I have that so far

waxen gorge
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@atomic knot haven't seen u in a long time lok

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Lol*

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Let's see

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Which number

atomic knot
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Lol

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379

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@waxen gorge

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It has been a while 😂

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It goes from one of the vertices to the midpoint of the opposite side

waxen gorge
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A line

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Ya

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That mean its a right triangle

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Not necessarily 45,45,90

atomic knot
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Oh

waxen gorge
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That statement is true for every right triabgle

atomic knot
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It has to be a right triangle?

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I just know that those two sides are the same

waxen gorge
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O I never saw the half side thing

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Then ya it's 45, 45, 90

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uwu

atomic knot
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What

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Yeah

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But it never said it was bisecting

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I just came to the wrong conclusion

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Ph

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Oh right

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But it’s not 90 degrees

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Not necessarily

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No

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Altitudes has to be perpendicular

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Really? Why

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oh true

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Lol

waxen gorge
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woa sotto has godlike drawing skills 👀

atomic knot
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Yeah

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How could I find their angles

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😂

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So it’s 45 45 90

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I was right

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Because the two sides are the same?

waxen gorge
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Lol

atomic knot
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I’m not completely sure why it makes the right triangle. I get it and the drawing but not totally sure how I could explain this

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😂

waxen gorge
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Angle bisector theorem!

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yay

atomic knot
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Yes

waxen gorge
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O nvm

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:(

atomic knot
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Because we know the side lengths

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😂

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Yeah

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Got it

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Thx

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😃

waxen gorge
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uωu

atomic knot
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❤️❤️

charred spearBOT
waxen gorge
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Lol

eager pendant
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@mint ore tag me when you're ready

mint ore
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ready

eager pendant
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okay

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do you know trig

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trigonometry

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if not, i'll just move on

mint ore
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some of it

eager pendant
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well, if you know that a/ sin(a)=2r

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then you can figure it out

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but if we dont know that:

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let's mark a centre

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let's call it O

mint ore
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i didnt know that 😮

eager pendant
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we know cd=7

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and ab=8

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so let's take O and extend it to meet AB

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and call this intersection M

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do this similarly for O and CD; let's call that N

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can you work out em?

mint ore
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ok i did it

eager pendant
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okay cool

mint ore
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what now

eager pendant
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what's EM?

mint ore
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2

eager pendant
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nice, what's EN?

mint ore
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1.5

eager pendant
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recheck

mint ore
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1?

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oh wait its 1/2

eager pendant
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good

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so you can work out OE?

mint ore
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why do i need oe

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cant i solve it already

eager pendant
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you're looking for the diameter, correct?

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or radius

mint ore
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yeah

eager pendant
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what do you mean by 'solve already'

mint ore
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i have ON and CN

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so can i find the radius

eager pendant
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oh true

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yeah

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nice

mint ore
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so r is sqrt 16,25 and d is sqrt 32,5?

eager pendant
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radius is sqrt(16.25)

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but 2*sqrt(16.25) doesn't equal 32.5 -

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it equals sqrt(4*16.25), see if you can understand

mint ore
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oh yeah

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😄

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thanks

thin hound
waxen gorge
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Hi

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sinx = -.4

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-.4/cosx = 9.6

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cosx = -.4/9.6

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cosx = -1/24

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now use inverse cosx function to find x

golden parrot
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about this

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so is none of the solutions shown correct?

mossy vine
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A

golden parrot
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but A should be sqrt(65/4)

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then

night lotus
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How do I find the measures of sides of similar shapes?

mossy vine
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@golden parrot the radius is sqrt(65/4), the diameter is sqrt(65)

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@night lotus in similar shapes, corresponding sides are in the same ratio

night lotus
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What's the ratio in the problem?

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15:20?

mossy vine
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yes

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so you have 15:20 = w:10

night lotus
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How do I know which number goes first in the ratio?

mossy vine
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it doesn't matter which

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as long as it's the same way round when looking at equality

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you don't actually have to use ratios at all, you can use fractions instead if you want

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you'd get 15/20 = w/10

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you could just as easily do 20/15 = 10/w or 20:15 = 10:w

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it really doesn't matter

golden parrot
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oh it said diameter

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k den

night lotus
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@mossy vine so w = 13 1/3?

mossy vine
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no

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you've done the ratios different ways round

night lotus
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it's 7.5?

mossy vine
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yeah

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as a rough check

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it must be smaller than 10

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because the 15 on that triangle is smaller than the corresponding 20 on the other triangle

night lotus
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oh yea

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So for question 15, x is 5?

mossy vine
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ye

night lotus
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and y is 6?

mossy vine
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ye, nice

night lotus
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okay, thank you very much

mossy vine
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no problem 😃

night lotus
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I'm not 100% sure about these vocab words

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is number 1 A?

reef cave
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can someody help me with 13 pls

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<@&286206848099549185>

crude kraken
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AC=x+5

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You just add the parts

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Same works for AB

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and then the proportionality is just AB propto AC

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Valid hint?

reef cave
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oh

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lemme try that

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@crude kraken#219 how wouild i write out AB propto AC?

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x+5 = x + 13?

crude kraken
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We have an equatoin for AB

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And we have an equation for AC

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=tex x+5\propto x+13

charred spearBOT
crude kraken
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However that doesn't work too well

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So it's probably saying to proportionalize the two things you're given

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namely

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=tex \frac{x+7}{6}=\frac{5}{x}

charred spearBOT
reef cave
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yes ive tried that

crude kraken
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It didn't work?

reef cave
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i got x^2 + 7x - 30

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thats not factorable?

crude kraken
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x^2+7x-30=0

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=pup factor x^2+7x-30

reef cave
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idk if i use quadratic

charred spearBOT
reef cave
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oh wait

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OH

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im dumb

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thanks

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ugh cant belive i didnt see that

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thank u

crude kraken
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👍

night lotus
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dilation if the scale factor is greater than 1 is called an enlargement right?

crude kraken
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Mhm

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Smaller is a reduction

night lotus
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For number 20, I'm not sure how to do it

abstract arch
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What is your x coordinate

night lotus
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4?

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Woa, your thing is messed up to the max

spiral lintel
spiral lintel
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I used coordinates to find #29 and got 122, can someone provide an easier solution?

keen aspen
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My brain is sorta slow right now is that supposed to be a rectangle?

spiral lintel
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yes

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I need #28 now

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I got #29

waxen gorge
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what r the side lengths

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for 28

spiral lintel
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they don't give u lengths

waxen gorge
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o

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nvm proof

spiral lintel
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I only need an explanation

waxen gorge
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the side of the square is a diagonal from the midpoint of the rectangle to and edge

chrome fiber
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how do you know C is the mid point?

waxen gorge
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i dont 😮

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👀

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i see similarity tho :/

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ead

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cdg

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feh

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meh whatev june can do it .-.

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june knows everything

chrome fiber
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what?

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i mean i know how to do this one but lol no.

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also feb?

waxen gorge
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idk that last letter

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h

chrome fiber
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h.

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i think.

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ya.

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but anyway.

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hfe and cdg are congruent.

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so their areas must be equal.

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cbh and dea are also congruent.

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so their areas are equal too.

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now look at the figure and this:

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arCDAB + arCGD + arCBH = arFGDE + arEAD + arFHE = total area of the figure.

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arCGD = arFHE.

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so.

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arCDAB + arCBH = arFGDE + arEAD.

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so you basically need to prove that arCBH = arEAD.

spiral lintel
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okay thxs

chrome fiber
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but you know that's already true bc they are congruent.

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therefore, arCDAB = arFGDE.

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which is what you needed to prove.

spiral lintel
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how would u solve for 29? I did it with coordinates and it got messy even though I am correct

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is there an easier way?

restive void
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like

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he doesnt tell us how to do this

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and i want to die

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im assuming its a lot of slope and distance formula?

waxen gorge
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Not really

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First check if x and y spacing are the same

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Then check if their differences are the same

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Then I guess u can sketch if it fails both

restive void
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im supposed to sketch and show work

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like this looks like a rectangle

keen aspen
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you're back

restive void
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so to prove its a rectangle, you need opposite uh

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whats that word called

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recip something

keen aspen
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To prove its a rectangle make the slopes opposite reciprocals

waxen gorge
#

parallels?

restive void
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idk if im even right

waxen gorge
#

ya

restive void
#

oh that yeah

waxen gorge
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what PJS said

restive void
#

so unless i did my math awfully wrong, CB and BA arent opposite reciprocals

keen aspen
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Let's see 2-5/-7-6

restive void
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well

keen aspen
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-3/-13

restive void
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well i did it wrong already lol

keen aspen
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-4-2/-5-(-7)

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-6/2

restive void
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aaa i suck at math

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oh, im still right hell yeah

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so that eliminates a rectangle

keen aspen
#

Yep

restive void
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wouldnt that also get rid of a square

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wait

keen aspen
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Yep

restive void
#

wait it would

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why?

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i like

keen aspen
#

Yeah a square and rectangle all have 90 degree angles

restive void
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i just know a square is a rectangle but a rectangle isnt a square

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oh yeah

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im a bit mental sometimes

keen aspen
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and since they arent opposite reciprocals it eliminates both of those

restive void
#

so it has to be just a regular quadrilateral, or a parallelogram

keen aspen
#

now we can try to see if its a trapezoid maybe, or a parallelogram

restive void
#

or that

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yeah

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so a trapezoid is one set of parallel sides, and one set of congruent sides right

keen aspen
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yep

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and a parallelogram has two sets of parallel sides

restive void
#

now uh

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how the hell do i prove that

keen aspen
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Well, you see if, the opposite sides have the same slope

restive void
#

ah

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so this shape isnt a paralleogram

keen aspen
#

Okay so how did you prove that?

restive void
#

well

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i found the slopes of CD and AB

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not the same

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so its either a trapezoid, iscoc trap, quadrilateral, or none

keen aspen
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Hmm lets, see

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AB: 5-(-1)/6-8 = 6/-2 = -3

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CB= 2-5/-7-6 = -3/-13

restive void
#

CB or CD

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cuz those are the opposite sides

keen aspen
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DC = -4-2/-5-(-7) = -6/2 = -3

restive void
#

oh they are equal? am i doing slope wrong or something

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y2-y1/x2-x1

keen aspen
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DA = -4-(-1)/-5-8 = -3/-13

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You got the equation right

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But we can see that AB and DC have equal slopes

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and CB and DC have equal slopes

restive void
#

so parallelogram

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how do i find which one it is

keen aspen
#

since we have two sets of parallel lines we can say its a parallelogram

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?

restive void
#

well i have to say what type of parallelogram it is

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i would think its a rhombus right?

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because sides are equal, angles arent?

keen aspen
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In order for it to be a rhombus all sides must be equal

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so you would use the distance formula

restive void
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so distance formula thats some stupid annoying stuff right there aaaa

keen aspen
#

Lol its just the pythagorean theorem lel

restive void
#

wait

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i mean

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kinda

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but i dont like :(

keen aspen
#

Yeah it is annoying

restive void
#

so since they're parallel

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i only need to find the distance of one of the opposite sides right

keen aspen
#

For AB its sqrt(5-(-1)^2) + (6-8)^2)

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So 6^2+-2^2

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36+4

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sqrt(40)

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So in order for it to be a rhombus all sides must be sqrt(40) in length

restive void
#

wouldnt CD be 40 because parallel?

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or sqrt 40 my bad

keen aspen
#

Not necessarily

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Even though they are parallel doesnt mean they have equal side lengths

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like a trapezoid

restive void
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so this is just a parallelogram

keen aspen
#

For CB its sqrt((2-5^2)+(-7-6^2))

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so -3^2+-13^2

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9+169

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sqrt(178)

restive void
#

so yeah just a parallelogram right

keen aspen
#

From this we can say that its not a rhombus so yeah a parallelogram

restive void
#

okay, i know that took a long time, i have seven more of those to do

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will you kindly help me out

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im still barely understanding this

keen aspen
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Sure

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Actually btw there is a name for it

restive void
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hm?

keen aspen
#

A rhomboid

restive void
#

oh

keen aspen
#

A rhomboid is the same as a rhombus but the side lengths are not equal

restive void
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we havent learned those yet i dont think

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lets do number three?

keen aspen
#

Eh ok I mean a parallelogram and rhomboid are the same term

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Ok

restive void
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hey earlier

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how did you get the opposite sides, did you graph it?

keen aspen
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I did

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Just for clarification

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You dont need to graph

restive void
#

then how could you tell which sides are opposite?

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just mental image?

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anyway, number three

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so it looks like a trapezoid

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so we should find the bases' slopes right?

keen aspen
#

hold on

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Ill show you

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Thats what I did

restive void
#

thats too complicated for me aaa

keen aspen
#

LOL just showing you what I do

restive void
#

oh

keen aspen
#

Anyways next question i wont use the graphing tool

restive void
#

i graph it

keen aspen
#

You can but you dont need to

restive void
#

so when i graphed this, where should we start

keen aspen
#

All you need to do is find the slopes and distances

restive void
#

see if the angles are 90 degrees right?

keen aspen
#

You can

restive void
#

so lets see AD and DC first

keen aspen
#

Ok

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AD: -10-6/4-(-2) = -16/6

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Which reduces to -8/3

restive void
#

mkay

keen aspen
#

So CD ; -10-(-7)/4-13 = -3/-9

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or 1/3

restive void
#

is the other 1/3

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yea

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so no, its not a square or rectangle

keen aspen
#

Yep

restive void
#

how do we prove if its a trapezoid?

keen aspen
#

If its a trapezoid itll have a pair of parallel sides

restive void
#

the bases right?

keen aspen
#

yep

restive void
#

so ad and bc slopes?

keen aspen
#

They have to be the same in order for it to atleast be a trapezoid

restive void
#

hm?

keen aspen
#

BC; -7-(-4)/13-4 = -3/9

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-1/3

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BA; -4-6/4-(-2) = -10/6

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=-5/3

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So.....

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We have slopes -8/3; 1/3; -1/3; -5/3

restive void
#

wait so they are 90 degree angles?

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wait im so lost

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i didnt write something down

keen aspen
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All slopes are different

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meaning no parallel sides

restive void
#

oh okay wait nevermind

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so it has to be a kite?

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or wait

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no

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false

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where do i go next

keen aspen
#

Whats the definition of a kit

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kite

restive void
#

one pair of opposite angles

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uh

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something else

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diagonals are perp

keen aspen
#

Also a kite has two pair of equal side lengths

restive void
#

yeah

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so distance formula

keen aspen
#

Yep

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You can do that ?

restive void
#

well which sides should i check

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i dont even know we never did this on a kite

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aaa

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i really want a new teacher

keen aspen
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LOL

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Ok

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Hold on imma test my latex skills

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$$\sqrt((-4-6)^2 + (4-(-2))^2)$$

restive void
#

wait pjs

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if there are no parallel sides

keen aspen
#

Ye

restive void
#

we only have a quadrilateral and a kite left right?

keen aspen
#

yep

charred spearBOT
restive void
#

so its 100 + 36

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sqrt136

keen aspen
#

Yep

restive void
#

what side is that

keen aspen
#

For BC : $$\sqrt (-7-(-4))^2 + (13-4)^2)$$

charred spearBOT
restive void
#

so 9 + 81

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sqrt90

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or did i do mental math wrong

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i did that really fast lol

keen aspen
#

youre good

restive void
#

so its just a quad

keen aspen
#

Not yet

restive void
#

hm?

keen aspen
#

The other sides could have the same length

restive void
#

AAAAAAAA I HATE THIS CLASS JESUS

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sorry

keen aspen
#

For CD: $$\sqrt ((-10-(-7)^2 + (4-13)^2)$$

charred spearBOT
restive void
#

sqrt 9 + 81

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same thing?

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sqrt 90?

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so would that be a kite?

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please say yes i dont want to do any more math

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even though we have 6 more after this

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and i dont just wanna not do it lol

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bad ethics

keen aspen
#

Hold up

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Im stupid

restive void
#

you're telling me

keen aspen
#

For a kite, the diagonals must be perp.

restive void
#

so we dont even need to do this

keen aspen
#

NOPE lol

restive void
#

we could just

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i really

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really

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want to die

keen aspen
#

Haha yeah shouldve realized that

restive void
#

so how do we find that

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slope of DB slope of AC

keen aspen
#

So, AC and BD must be opposite reciprocals

restive void
#

?

keen aspen
#

yep

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and we already proved that

restive void
#

we did

#

oh

#

okay

#

so kite

#

i did my math wrong already

#

late

#

i got a 0 lol

#

aaaaaaaaaaa

keen aspen
#

It's not a kite

restive void
#

oh my god im just done with math lol

keen aspen
#

Its an irregular quadrilateral

restive void
#

i really

#

really

#

want to dispose of my teacher

keen aspen
#

Alright

restive void
#

so this looks like an easy shape

keen aspen
#

$$\frac {4-3}{3-(-2)}$$

restive void
#

how many points do i get taken off if i just right quadrilateral because four sides

#

:)

charred spearBOT
keen aspen
#

Alot prob lol

restive void
#

okay so how do we solve this

#

uh

#

looks like a parallelogram we're starting with opposite sides slopes

#

what you did was ba right

#

BA

keen aspen
#

1/5?

restive void
#

i got same slopes for AB and DC

#

yeah

#

i got 1/5 for both of them

keen aspen
#

Hold on lemme see

restive void
#

thats not opposite reciprocal

#

hold on gonna get a gun

keen aspen
#

For BC $$\frac {-1-4}{2-3}$$

charred spearBOT
keen aspen
#

-5/1

restive void
#

AAAAAAAAA i keep doing things wrong

keen aspen
#

-5

restive void
#

so opposite

keen aspen
#

Opposite reciprocals so far

restive void
#

so now ad and bc

keen aspen
#

DC: $$\frac {-2-(-1)}{-3-2}$$

charred spearBOT
keen aspen
#

-1/-5 = 1/5

restive void
#

yeah

#

i got that

keen aspen
#

DA: $$\frac {-2-3}{-3-(-2)}$$

charred spearBOT
keen aspen
#

-5/-1 = 5

restive void
#

so not opposites

#

damnit

#

wait

#

no opposites

#

im so dumb rn lol

#

yes

#

parallelogram

#

now i need to find if its a square or rect right

keen aspen
#

No

#

We showed that the slopes are not opposite reciprocals

#

so it cant be a square or rect

restive void
#

oh yeah, so thank lord

keen aspen
#

Not next lol

restive void
#

what

#

the

#

hell

#

okay

#

im going to die inside

#

what else is there

keen aspen
#

It can be another type of parallelogram

restive void
#

what else is there

#

oh

#

that meme

#

rhombus

#

?

keen aspen
#

Are there two sets of parallel sides

#

?

restive void
#

uhhhhh

#

i know all of them are congruent

#

so yes

#

???

#

i really dont know anymore

#

im dying

#

yes it is final answer

keen aspen
#

LOL

#

Um well we know we have one set of parallel sides

restive void
#

wait didnt we say both are congruent

#

i dont

#

even know anymore

#

aaaaaaaaaaaaaaaaaaaa

keen aspen
#

Hmmm hold up now im a bit confused

restive void
#

i meant parallel

#

not congruent

#

SO AM I

#

you know what my answer is

#

i skip this one and make my teacher do it for me tomorrow

#

<3

keen aspen
#

Hold on I cant quit now

restive void
#

damn

keen aspen
#

So yes; two sets

#

so it can be a parallelogram or a rhombus

#

use the distance formula to see if the side lengths are equal

restive void
#

i really really really dont want to

keen aspen
#

Test with just two side lengths and when they arent the same you can say its just a parallelogram

restive void
#

but i will

#

really regretably

keen aspen
#

Hahaha

restive void
#

while contemplating my life choices of honors geometry

#

y2-y1^2 + x2-x1^2 all in square root right

keen aspen
#

yep

restive void
#

so BA i got sqrt26

#

check my mental math?

keen aspen
#

es

#

yes

restive void
#

DC i got 26 am i right

#

if i am its a rhombus right

#

please say yes im dying

keen aspen
#

LOL hold up

#

Yes DC is sqrt(26)

restive void
#

ALRIGHT DONE WITH THAT HELL OF A PROBLEM

#

next one thanks

keen aspen
#

No no no

restive void
#

dont u dare say no

#

fuck you

#

i was too late

keen aspen
#

You gotta do all sides

#

LMAO

restive void
#

i really really dont want to

keen aspen
#

ill do it for you

restive void
#

11:00 pm

#

doing math homework

#

OH I HAVE SPANISH HOMEWORK TOO

#

LOOKS LIKE IM STAYING UP PRETTY LATE

#

BECAUSE ON QUETION TAKES LIKE THIRTY MINUTES

keen aspen
#

Yes

#

It is a rhombus

restive void
#

THANK GOD

keen aspen
#

All side lengths are the same

restive void
keen aspen
#

ok

#

-2-4/8-10 -6/-2 = 3

#

2-(-2)/2-8 = 4/-6

#

= -2/3

#

8-2/4-2 = 6/2 = 3

restive void
#

what side

#

for the first slope

keen aspen
#

8-4/4-10 = 2/-6

#

-2/3

#

Slopes; 3, -2/3, 3, -2/3

#

BA, CB, DC, DA

restive void
#

is that like

#

a rectangle

#

say yes

#

so its over

keen aspen
#

Nope

restive void
#

damn

#

i tried

narrow sleet
#

How do you know it has right angles?

restive void
#

oh youre right

#

it doesnt

keen aspen
#

For it to be a rectangle if the angles are opposite reciprocals

restive void
#

because no opposite reci

keen aspen
#

yep

restive void
#

you beat me to it again

narrow sleet
#

Yes

restive void
#

stop typing fast

#

wait no type fast

keen aspen
#

however you have two pair of parallel sides

restive void
#

i want to get this done with

#

so distance i would assume is best to do nextt

keen aspen
#

Yep

restive void
#

to see if its a rhombus

keen aspen
#

Yep

restive void
#

oh boy here we go this shit again

narrow sleet
#

Yes

#

Lol

keen aspen
#

Im assuming you can do it

restive void
#

so DA is sqrt 8-4^2 + 4-10^2

#

right

#

so sqrt 52

keen aspen
#

yes

restive void
#

three more !!!!!!!!

#

progress guys!!!

waxen gorge
#

Guys it's been like 2 hrs

restive void
#

slow, painful progress

#

shut up

#

dont remind me

waxen gorge
#

This is not good homework

restive void
#

<3

waxen gorge
#

ur teacher sucks

restive void
#

YES

#

HE DOES

#

THANK YOU

narrow sleet
#

Actually u need to do CD will be enough

restive void
#

wait really

narrow sleet
#

To proof

restive void
#

why

#

teach me

narrow sleet
#

Because if AD is not equally to CD,it will be a parallelogram

#

If AD = CD, it is a rhombus

keen aspen
#

true

restive void
#

oh, is it because the same slope?

#

or something

#

i dont know man

#

im gonna d

keen aspen
#

Nah; slopes dont matter

narrow sleet
#

Because two lines with the same slope are parallel lines

restive void
#

for cd i got sqrt 5

#

what the hell

#

did i do wrong

#

oh i see

#

i looked at the wrong problem

#

shh

narrow sleet
#

And you proof that it has 2 parallel lines and it doesn't have right angles, so it can be a rhombus or a parallelogram

restive void
#

is CD sqrt 40?

narrow sleet
#

Wait

keen aspen
#

yes

restive void
#

THANK GOSH I DID SOMETHING RIGHT

#

AWAY WITH THAT PROBLEM

#

8 MINUTES NEW RECORD LETS GO

#

im going insane sorry

narrow sleet
#

Lol

#

@restive void Good luck

restive void
#

wait so

#

its just a parallelogram

#

right

keen aspen
#

yep

restive void
#

four more

keen aspen
#

rhomboid but you havent learned that

restive void
#

shut up with confusing words

#

<3

narrow sleet
#

Rhomboid...

restive void
#

havent learned it

keen aspen
#

Ok BA = 1/2 CB = -2 DC = 1/2 DA = -2

#

Opposite reciprocals you see?

restive void
#

yeah

keen aspen
#

This means that its either a square or rect

#

use distance formula to see if they are the same

restive void
#

well

#

so i should only do say ike DA and DC

narrow sleet
#

Yes

restive void
#

if those are the same its a square

#

if different its rect

narrow sleet
#

Yes

restive void
#

is DA = sqrt 20?

#

or did i math wrong

narrow sleet
#

Correct

keen aspen
#

yep

restive void
#

aha

#

im better than all of u fools at math

keen aspen
#

lol

narrow sleet
#

Lol

#

We are just waiting for u

restive void
#

:(

#

so should i do ab now

keen aspen
#

Sure

restive void
#

i really dont want to do more work than i need anymore

narrow sleet
#

JUST DO IT!!

restive void
#

N E V E R

#

i got sqrt 20 for AB

#

please say yes

keen aspen
#

yes

restive void
#

hell yes

#

see better than all of you

keen aspen
#

hehe

narrow sleet
#

I got that like 5 mins ago

#

Like what I say we are waiting for u

restive void
#

we dont talk about that

narrow sleet
#

Kkk

restive void
#

we just talk about me here

#

because im the best

#

next question btw

#

okay, hey

#

will you walk me through what you do to get the slopes

keen aspen
#

oK

restive void
#

because i obviously dont do this right

narrow sleet
#

Lol

keen aspen
#

For AB: $$\frac {-4-(-1)}{9-5}$$

charred spearBOT
narrow sleet
#

@restive void Mhmm I thought u are better than us...🤔 🤔 🤔

restive void
#

i am in my moments smile

#

let me have my moments

#

thanks bb <3

narrow sleet
#

Ok

restive void
#

alright pjs

#

do you do BC next

narrow sleet
#

Lol try

#

Urself

restive void
#

I DONT WANT TO

#

😡

#

rage emote best emote

keen aspen
#

For BC: $$\frac {-10-(-4)}{6-9}$$

charred spearBOT
restive void
#

cant you simplify 6/-3

#

so like

#

6/-1

#

i meant

#

3/-1

#

its late okay

#

i dont even know

narrow sleet
keen aspen
restive void
#

so for cd you do -5 -(-10)/ 3-6?

#

CD*

keen aspen
#

yes

narrow sleet
#

Yeap

restive void
#

DA = -5-(-1)/ 3-5

narrow sleet
#

Yes

restive void
#

DA =2 right

keen aspen
#

yes

restive void
#

okay im starting to get it

keen aspen
#

Yayayayaya

restive void
#

so we dont have opposite recipricoles

#

so no square or rect

#

unless im absolutely fucked in the mind and messed up?

#

its the latter isnt it

keen aspen
#

Hm; -3/4, 2, -5/3, 2

#

There are a pair of parallel lines

restive void
#

i got -3/4, 2, -3, 5/-3

#

well that coulda been bad

keen aspen
#

How did you get -3

restive void
#

BC idk wht i did

#

okay

keen aspen
#

and 5/-3 is the same as -5/3

restive void
#

dont ask me

keen aspen
#

-10-(-4) = -6 6-9 = -3 -6/-3 = 2

restive void
#

reasons why i despise math - you do one thing wrong everything else is wrong

keen aspen
#

yep lol

restive void
#

okay so from here

#

no opposite recips

#

no square/rect

narrow sleet
#

Yes

#

But it has a pair of parallel lines so...????

restive void
#

oh

#

trapezoid

#

i didnt even notice that

#

jesus i suck at this

narrow sleet
#

Yes

restive void
#

okay fuck you too <3

#

kidding

narrow sleet
#

U just need to practise more

restive void
keen aspen
#

Okay you know how do to it correct?

restive void
#

i want to say no

#

but yes

#

sort of

#

i really dont want to anymore

#

im d y i n g

narrow sleet
#

Just write ur answer here and we will check

restive void
#

wait question

#

ab the slope will have a zero right?

#

how do you work with that

#

0/3

#

no?

narrow sleet
#

So the slope is 0

restive void
#

oh

#

what about CD with its -3/0

#

is that still zero

#

or is it -3

keen aspen
#

Undefined

restive void
#

so how the hell do i do this

keen aspen
#

It's a straight line vertically

restive void
#

oh okay

#

but should i still write -3/0?

keen aspen
#

Sure

restive void
#

wait this is just a trapezoid right? one set of parallel lines?

narrow sleet
#

Yeah

restive void
#

holy shit see better than all of u

#

im sorry i dont mean it <3

keen aspen
#

lol one morwe

#

more

restive void
keen aspen
#

BA: $$\frac {2-4}{-1-(-4)}$$

charred spearBOT
narrow sleet
#

U can do it right

#

Let him try

keen aspen
#

ye

restive void
#

are my slopes right - AB = -2/3 BC = 2/3 CD =2/3 AD =2/3

#

wait

#

i think i missed a negative

narrow sleet
#

CD = -2/3

keen aspen
#

CD is -2/3

restive void
#

Yeah figured

keen aspen
#

So two pairs of parallel sides

#

Now test if the side lengths are equal

restive void
#

So is this going to be a square or rectangle or rhombus?

narrow sleet
#

Do it has right angles?

restive void
#

Uh

#

I see opposite reciprocals

#

Wait

#

No I don’t

#

So at this point a rhombus or a parallelogram right

narrow sleet
#

Yes

waxen gorge
#

@restive void it's been 3 hrs just sleeeeppppp