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

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Proving Triangles Congruent

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Presentation transcript:

Then/Now 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.

Then/Now You proved triangles congruent using SSS and SAS. Use the ASA Postulate to test for congruence. Use the AAS Theorem to test for congruence.

Vocabulary included angle

Concept 1 SSS (Side-Side-Side)

Concept 2 SAS (Side-Angle-Side)

Concept ASA (Angle-Side-Angle)

Concept AAS (Side-Side-Side)

HL (Hypotenuse-Leg) (Use with right triangles only)

Concept

Example 1 Use ASA to Prove Triangles Congruent Write a two-column proof.

Example 1 Use ASA to Prove Triangles Congruent 4.Alternate Interior Angles 4.  W   E Proof: StatementsReasons 1. Given 1.L is the midpoint of WE. ___ 3. Given Midpoint Theorem 2. 5.Vertical Angles Theorem 5.  WLR   ELD 6.ASA 6. ΔWRL  ΔEDL