Pythagoras | Mathematics | Page 1

barren plumeBOT Jul 21, 2024, 4:46 PM

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rain remnant Jul 21, 2024, 4:47 PM

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If the shape is symmetrical, what's the plane of symmetry?

lofty acorn Jul 21, 2024, 4:48 PM

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rain remnant If the shape is symmetrical, what's the plane of symmetry?

i have no idea

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I've just tried to use pythagoras twice but it isn't working

rain remnant Jul 21, 2024, 4:48 PM

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Do you know what a plane of symmetry is?

lofty acorn Jul 21, 2024, 4:48 PM

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no :'D

rain remnant Jul 21, 2024, 4:49 PM

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lofty acorn I've just tried to use pythagoras twice but it isn't working

Formulae only work if you apply them correctly, and that requires a deeper understanding of the context in which you're applying them.

lofty acorn Jul 21, 2024, 4:50 PM

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oh right

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like I tried to to work out AD which I assume is sqrt(0.7^2 + 1.2^2) but now I'm lost

rain remnant Jul 21, 2024, 4:52 PM

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lofty acorn no :'D

So in this context when we talk about symmetry we're talking about reflective symmetry specifically, as opposed to rotational symmetry. Reflective symmetry is when a shape can be reflected about a specific line or, in this case, plane, and the result is identical to the beginning shape. So the plane of symmetry just is the plane about which this reflection occurs.

rain remnant Jul 21, 2024, 4:52 PM

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lofty acorn like I tried to to work out AD which I assume is sqrt(0.7^2 + 1.2^2) but now I'm...

Why do you assume that?

lofty acorn Jul 21, 2024, 4:53 PM

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rain remnant Why do you assume that?

because it can be figured out using pythagoras since its a right angled triangle?

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I'm probably wrong but

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no clue

rain remnant Jul 21, 2024, 4:54 PM

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lofty acorn because it can be figured out using pythagoras since its a right angled triangle...

Show your work from the beginning.

lofty acorn Jul 21, 2024, 4:54 PM

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rain remnant Show your work from the beginning.

shall i provide you with a screenshot?

rain remnant Jul 21, 2024, 4:54 PM

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lofty acorn shall i provide you with a screenshot?

Okay.

lofty acorn Jul 21, 2024, 4:57 PM

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sorry for the wait, I'm just logging onto my phone

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I’ll show you the entire question incase of anything

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rain remnant Jul 21, 2024, 4:59 PM

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You did something different than what you said.

lofty acorn Jul 21, 2024, 4:59 PM

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rain remnant You did something different than what you said.

oh

rain remnant Jul 21, 2024, 4:59 PM

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Wait, no.

rain remnant Jul 21, 2024, 5:00 PM

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lofty acorn like I tried to to work out AD which I assume is sqrt(0.7^2 + 1.2^2) but now I'm...

I'm sorry, I misread this. That's correct.

lofty acorn Jul 21, 2024, 5:00 PM

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rain remnant I'm sorry, I misread this. That's correct.

oh ok

rain remnant Jul 21, 2024, 5:00 PM

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I thought you had forgotten to halve 2.4.

lofty acorn Jul 21, 2024, 5:00 PM

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like i have no idea what to do next after finding AD in order to find BC or BF

rain remnant Jul 21, 2024, 5:00 PM

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What shape is ABCD?

lofty acorn Jul 21, 2024, 5:01 PM

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quadrilateral?

rain remnant Jul 21, 2024, 5:01 PM

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More specifically?

lofty acorn Jul 21, 2024, 5:01 PM

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um

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wait rectangle right

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idk if its just drawn weirdly on diagram

rain remnant Jul 21, 2024, 5:02 PM

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No.

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It's a trapezoid. More specifically, a right trapezoid.

lofty acorn Jul 21, 2024, 5:03 PM

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oh right

rain remnant Jul 21, 2024, 5:03 PM

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And what does that mean?

lofty acorn Jul 21, 2024, 5:03 PM

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umm

rain remnant Jul 21, 2024, 5:03 PM

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What shapes can be combined to make a right trapezoid?

lofty acorn Jul 21, 2024, 5:04 PM

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triangle and rectangle?

rain remnant Jul 21, 2024, 5:04 PM

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What kind of triangle?

lofty acorn Jul 21, 2024, 5:04 PM

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right angled?

rain remnant Jul 21, 2024, 5:05 PM

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Right! So if you take the point E on AB such that CE is perpendicular to CD, you will have CE = AD.

lofty acorn Jul 21, 2024, 5:06 PM

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I'm so lost

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sorry

rain remnant Jul 21, 2024, 5:07 PM

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...draw the last side of the rectangle.

lofty acorn Jul 21, 2024, 5:07 PM

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done

rain remnant Jul 21, 2024, 5:07 PM

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What do we know about rectangles?

lofty acorn Jul 21, 2024, 5:08 PM

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its 3m width and 1.38...m in length?

rain remnant Jul 21, 2024, 5:08 PM

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No.

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What do we know about rectangles?

lofty acorn Jul 21, 2024, 5:09 PM

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that they are 2.4m by 2m?

rain remnant Jul 21, 2024, 5:09 PM

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All of them? Always?

lofty acorn Jul 21, 2024, 5:09 PM

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i have no clue 😐

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im really bad at maths sorry

rain remnant Jul 21, 2024, 5:10 PM

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What is the definition of a rectangle?

lofty acorn Jul 21, 2024, 5:10 PM

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4 sides

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and they aren't all equal in length?

rain remnant Jul 21, 2024, 5:10 PM

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No.

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A rectangle is a quadrilateral where all internal angles are 90 degrees.

lofty acorn Jul 21, 2024, 5:11 PM

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right

rain remnant Jul 21, 2024, 5:11 PM

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A square is a rectangle.

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Because it's a quadrilateral, and all of its internal angles are 90 degrees.

lofty acorn Jul 21, 2024, 5:12 PM

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i think i understand that now

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yes thanks

rain remnant Jul 21, 2024, 5:12 PM

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So given this definition of a rectangle, we can prove certain facts about them.

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In particular, that opposite sides of a rectangle are parallel, making all rectangles parallelograms.

lofty acorn Jul 21, 2024, 5:13 PM

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right

rain remnant Jul 21, 2024, 5:14 PM

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Also, that opposite sides of a rectangle, like opposite sides of any parallelogram, are equal in length.

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So what sides does our rectangle in this problem have?

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Not side lengths, sides.

lofty acorn Jul 21, 2024, 5:15 PM

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which rectangle?

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EDCF?

rain remnant Jul 21, 2024, 5:15 PM

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...in our problem.

lofty acorn Jul 21, 2024, 5:16 PM

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2.4m and 2m?

rain remnant Jul 21, 2024, 5:16 PM

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No. The rectangle part of the trapezoid we were just discussing.

rain remnant Jul 21, 2024, 5:16 PM

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lofty acorn 2.4m and 2m?

Not side lengths, sides.

lofty acorn Jul 21, 2024, 5:17 PM

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what do you mean by sides like in terms of angles or what if its not the length of the sides?

rain remnant Jul 21, 2024, 5:18 PM

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I mean name the sides by their endpoints.

lofty acorn Jul 21, 2024, 5:19 PM

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idkkkkk

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but can you tell me what i need to find out like the length of what side i need to find out in order to find BC or BF

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like AC, AE AD idk

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i got no clue

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taking way too long can you close this thread please

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thanks

#Pythagoras