Question

I could use a little help. :l


Use a paragraph proof to prove the converse of the same-side interior angles theorem.

Given: Same-side interior angles are supplementary

Prove: AB is congruent to CD
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/0903/0903_G3_Q7.gif

Answer 1

@jim_thompson5910 any idea love??

Answer 2

one sec

Answer 3

I'd use the idea that <2 = <4 (vertical angles)

Answer 4

and the idea that <4 + < 5 = 180 and < 3 + <4 = 180 to connect the fact that < 3 = < 5

Answer 5

actually you don't need to use <2 = <4m, but it's helpful to know

Answer 6

so because < 3 = < 5, and these are alternate interior angles, the two lines A and B are parallel

Answer 7

Awesome! Thank you!

Answer 8

You can't prove A = B since you need more info, but you can prove the two are parallel

Answer 9

so I'm guessing this is a typo

Answer 10

yeah. they want me to prove that they are parallel.

Answer 11

ok great