1. 5.3 Proving Triangles are congruent:
ASA and AAS

3. Angle-Side-Angle Congruence Postulate (ASA)
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

4. Example 1 (a)
Based on the diagram, can you use the ASA Congruence Postulate to show that the triangles are congruent? Explain your reasoning.

5. Example 1 (b)
Based on the diagram, can you use the ASA Congruence Postulate to show that the triangles are congruent? Explain your reasoning.

6. Angle-Angle-Side Congruence Theorem (AAS)
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

7. Example 2

8. Example 3 (a)
Does the diagram give enough information to show that the triangles are congruent? If so, state the postulate or theorem you would use.

9. Example 3 (b)
Does the diagram give enough information to show that the triangles are congruent? If so, state the postulate or theorem you would use.

10. Example 3 (c)
Does the diagram give enough information to show that the triangles are congruent? If so, state the postulate or theorem you would use.

11. Example 4

12. You Try It..