1. 7.2 Two Proof-Oriented Triangle theorems
Objective:
After studying this section, you will be able to apply the no-choice theorem and the AAS theorem.

2. Theorem
If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are congruent. (No-Choice Theorem) B E C D F A

3. Theorem
If there exists a correspondence between the vertices of two triangles such that two angles and a nonincluded side of one are congruent to the corresponding parts of the other, then the triangles are congruent. (AAS)

4. Example 1 A D
Given:
Prove: B E C

5. Example 2
Given: T R S
Prove: NPRT is a rhombus P N O

6. Summary Homework Worksheet 7.2
Explain why if two right triangles have a pair of congruent acute angles, then the other pair of acute angles must be congruent.
Homework
Worksheet 7.2