Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Angle Side Angle, Angle Angle Side Triangle Congruence.

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Presentation transcript:

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Angle Side Angle, Angle Angle Side Triangle Congruence

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Name the included side between each pair of angles. 1.R and K2. X and R 3. 8 and 94. 10 and 12 5. 5 and 16. 4 and 2

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Determine if you can use ASA to prove the triangles congruent. Explain.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Determine if you can use ASA to prove NKL  LMN. Explain.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL You can use the Third Angles Theorem to prove another congruence relationship based on ASA. This theorem is Angle-Angle-Side (AAS).

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL State the postulate that you would use to prove the triangles congruent. Name the congruent triangles.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL State the postulate that you would use to prove the triangles congruent. Name the congruent triangles.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Given: JL bisects KLM, K  M Prove: JKL  JML

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL