4.6: Triangle congruence ASA, AAS, & HL.

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Presentation transcript:

4.6: Triangle congruence ASA, AAS, & HL

An __________is the common side of two consecutive angles in a polygon An __________is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

You can use the Third Angles Theorem to prove another congruence relationship based on ASA. This theorem is Angle-Angle-Side (AAS).

There are no donkeys in Geometry. Angle-Side-Side (ASS) is NEVER the correct answer!

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain. Write a congruence statement

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain. Write a congruence statement

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain. Write a congruence statement

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use ASA or AAS to prove the triangles congruent Determine if you can use ASA or AAS to prove the triangles congruent. Explain.

Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

Review Identify the postulate or theorem that proves the triangles congruent.