Question

check my work plz! on proofs!

Answer 1

I think
the question is to prove "line l || line m"
Given :<2 and <5 are supplementary

right ?

Answer 2

It would be helpful if you organized your proof with a narrative. I don't know how to evaluate what you are saying if you don't explain what is Given and what is Deduced.

Answer 3

@ganeshie8 yes & sorry idk how to do that but the same order you see the statement is the way i answered it

Answer 4

i have to figure out if the statements match the reasons based on the picture that is what i have. i just wana mke sure im rite

Answer 5

Then the order would be something like:
1. Given that <2 and <5 are supplementary,
2. from the Definition of Supplementary Angles we know <2 + <5 = 180 degrees.
3. Also, <2 = <3 because of the Vertical Angle Theorem
4. so by substitution, <3 + <5 = 180 degrees as well (and are supplementary by definition).
5. Therefore, by the Converse of Same-Side Interior Angles Theorem, line l is || to line m.

Answer 6

wow, okay thanks ! very much appreciated

Answer 7

It might be worth pointing out that we assume l and m are in the same plane, but I'm guessing your teacher won't notice that omission.

Answer 8

yeah she won THANK U SO MUCH! im clueless wen it cums to proofs

Answer 9

But the real takeaway Julie, is to think of writing a proof like telling a story (or writing a recipe). You have to explain the steps in order; how you know the first thing and how you therefore know the next thing, etc.