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Holt McDougal Geometry
4-6 Triangle Congruence: ASA, AAS, and HL4-7 Triangle Congruence: ASA, AAS, and HL
Holt Geometry
Section 4.7Section 4.7
Holt McDougal Geometry
Holt McDougal Geometry
4-6 Triangle Congruence: ASA, AAS, and HL
Warm Up
1. What are sides AC and BC called? Side AB?
2. Which side is in between A and C?
3. Given DEF and GHI, if D G and E H, why is F I?
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 K 2. X and R
3. 8 and 9 4. 10 and 12
5. 5 and 1 6. 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
What information is missing to say that:
a.ΔTUW ΔQOS by SAS b. ΔTUW ΔQOS by AAS
Holt McDougal Geometry
4-6 Triangle Congruence: ASA, AAS, and HL
Lesson Quiz: Part I
Identify the postulate or theorem that proves the triangles congruent.
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