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TargetDueAssignment 4.51/15p. 257: 11, 12, 14-18, 22, 24, 26-29 Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles.

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Presentation on theme: "TargetDueAssignment 4.51/15p. 257: 11, 12, 14-18, 22, 24, 26-29 Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles."— Presentation transcript:

1 TargetDueAssignment 4.51/15p. 257: 11, 12, 14-18, 22, 24, 26-29 Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.

2 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL A side that is between two marked angles Included side

3 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Identify the postulate or theorem that proves the triangles congruent. ASA HL AAS or ASA 3.

4 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Determine if you can use ASA to prove the triangles congruent. Explain. We would need to know that the included sides are congruent. All we can see in the picture is that the smallest sides, the one they share, are congruent. (we could us AAS)

5 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know. These triangles are congruent because of HL congruence. The side they share is a leg of the right triangles we can also see the hypotenuse of the triangles are congruent in the picture.

6 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Given: JL bisects KLM, K  M Prove: JKL  JML StatementJustification K  Mgiven JL bisects KLM given KLJ= MLJDef of angle bisector JL= JLReflexive property JKL  JMLAAS.

7 Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL TargetDueAssignment 4.51/15p. 257: 11, 12, 14-18, 22, 24, 26-29


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