1. Objective: After studying this section, you will be able to apply the no-choice theorem and the AAS theorem.

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

3. 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. Given: A E B C D Prove:

5. Given: NO T P S Prove: NPRT is a rhombus R

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