1. 4.5 Proving Triangles are Congruent: ASA and AAS
Hubarth
Geometry

2. Angle-Side-Angle Congruence Postulate (ASA)

3. Ex 1. Determine When to Use ASA Congruence
Based on the diagrams can you use the ASA Congruence Postulate to show
that the triangles are congruent? Explain your reasoning. a. B M b. O W N A
Solution

4. Angle-Angle-Side Congruence Theorem (AAS)

5. Ex 2. Determine What Information Is MissingK N L J M
Solution

6. Ex 3. Decide Whether Triangles are Congruent
Does the diagram give enough information to show that the triangles are congruent?
If so, state the reason. N Q U Z H a. E b. c. G M W X F J P
Solution

7. Ex 4. Prove Triangles are CongruentB
Solution D E

8. Practice
Based on the diagram, can you use the ASA Congruence Postulate to show the triangles are congruent?
Explain. D E B F A C
2. Does the diagram give enough information to show that the triangles are congruent? If so state why. A B
Yes, AAS D C F H G G’ K J