Question

A geometry proof question.

Answer 1

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

Given: Same-side interior angles are supplementary

Answer 2

What is the "converse of the same-side interior angles theorem." How does it read?

Answer 3

This is what it means: If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

Answer 4

So, we start with the s-s angles being supplementary and prove that the lines forming them (along with the transversal) are parallel.

Answer 5

Right.

Answer 6

What's the blue arrow?

Answer 7

Steps two and four combine to give step five.

Answer 8

Okay, I understand.

Answer 9

Thank you very much Directrix. You're a life saver!

Answer 10

ReasReasons
1. If the exterior sides of two adjacent angles lie in opposite rays, the angles are supplementary
2. Def of Supplementary angles
3. Given
4.Def of Supplementary angles
5.Substitution (or Transitive property of Equality)
6. Subtaction Property of Equality
7. Def of Congruent Angles
8. If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.ons:

Answer 11

:D