Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.

You proved triangles congruent using the definition of congruence.

• Use the SSS Postulate to test for triangle congruence.

• Use the SAS Postulate to test for triangle congruence.

You proved triangles congruent using SSS and SAS.

• Use the ASA Postulate to test for congruence.

• Use the AAS Theorem to test for congruence.

• included angle

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Side-Side-Side)

HL (Hypotenuse-Leg)

(Use with right triangles only)

Use ASA to Prove Triangles Congruent

Write a two-column proof.

Use ASA to Prove Triangles Congruent

4. Alternate Interior Angles4. W E

Proof:Statements Reasons

1. Given1. L is the midpoint of WE.___

3. Given3.

2. Midpoint Theorem2.

5. Vertical Angles Theorem5. WLR ELD

6. ASA6. ΔWRL ΔEDL