Question

You guys are awesome :), I've got another one for ya.
Use a paragraph proof to prove the converse of the corresponding angles postulate.
Given: Corresponding angles are congruent
Prove: segment A B is parallel to segment C D.

Answer 1

Ok.

So if we are allowed to simply say 1st up that corresponding angles are equal,

1 = 5, (corresponding angles)

Also, 1 = 3 (vertically opposite angles)

Hence 3 = 5. (both equal to angle 1)

But we see that 3 , 5 are equal and are also alternate interior angles.

We know the fact that if interior alternate angles are equal then the line segment AB is parallel to CD.

Answer 2

Ohhh, alrighty. I was having trouble wording my explanation. Thank you so much!