I got no idea how to do these and I got a test in like an hour and 45 minutes 😭😭😭😅😅(the problem linked should be the exact one I’m getting for the test)
#Proof help 😭
sharp flint
bitter flareBOT
quaint valve
@sharp flint First of all tell me when are two lines considered parallel in case they're being cut by a transversal?
sharp flint
Uh 😅 what’s a transversal? But like, aren’t lines considered parallel when they don’t touch?
quaint valve
The line that interesects two parallel lines, in this image the blue one.
sharp flint
Ohh ok, thnx lol 😅
quaint valve
Uh 😅 what’s a transversal? But like, aren’t lines considered parallel when they...
Yeah but they have some specific properties associated to them in these cases.
sharp flint
I have no idea, this is all I got😭 brb, homeroom is starting 😭😭
quaint valve
Well if you don't understand it you can't do it exam.
Have you studied about the properties between co interior angles, corresponding angles and alternate interior angles?
sharp flint
Have you studied about the properties between co interior angles, corresponding ...
Yea, I also know stuff like transitive property (only by name tho) and like linear pair postulate
quaint valve
Okay, nice.
Now consider lines j and k and take l as transversal. What can you say about angle 4 and angle 9?
sharp flint
They’re same side interior angles
sharp flint
The thing where the angles equal to 180 (I think it was supplementary)
sharp flint
180-m(4)=m(9)
quaint valve
We just did that. They've given you a statement alongside j||k
Using that, what is 9?
quaint valve
sharp flint
Ohhh
quaint valve
Now we know this: m(4)=180-m(9)
And we know m(9) in terms of m(8)
So m(4)=180-(180-m(8))
m(4)=m(8)
Now how is that useful to us? When two lines are parallel, their corresponding angles are?
sharp flint
They’re linear?
quaint valve
No they're equal/
quaint valve
Those angles are equal/
quaint valve
Now consider lines l and m, and take k as transversal. We see that m(4)=m(8), which are corresponding angles and that implies that l||m.
Now you could have done this more easily.
First tell me is this part clear?
sharp flint
Yes
quaint valve
Okay.
So again considering lines j and k and l as transversal, we can say that m(9)=m(3).
Do you know why?
sharp flint
Cause the transversal shows that the angles have equal angles?
quaint valve
I'm not sure what you meant but you must have studied that alternate interior angles, these guys are equal right?
sharp flint
Yea
quaint valve
Using this property, we get m(9)=m(3).
Now m(8) and m(3) are co-interior angles, that is angles on the same side of the transversal.
You stated their property a few moments ago.
They are supplementary.
Since m(3)=m(9) and m(9)+m(8)=180
We can say that m(3)+m(8)=180
This means that l||m
Do you get this part?
sharp flint
Yes
quaint valve
Yeah that's about it. There are other ways to do this but they are redundant so no need to overcomplicate it.
sharp flint
Ohh ok 👍 thnx!!