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4.5 AAS, ASA and HL Triangle Congruence

4.5 AAS, ASA and HL Triangle Congruence. Assignment 33: 4.5 WS #1 – 14 all. Angle Side Angle Postulate. ASA Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. E. B. A. D.

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4.5 AAS, ASA and HL Triangle Congruence

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  1. 4.5 AAS, ASA and HL Triangle Congruence • Assignment 33: 4.5 WS #1 – 14 all

  2. Angle Side Angle Postulate ASA Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. E B A D C F

  3. Angle Angle Side Theorem

  4. Hypotenuse-Leg Theorem

  5. Class Example Decide whether you can deduce by the SSS, SAS, or ASA, Postulate or AAS, HL Theorem that another triangle is congruent to If so, write the congruence and name the postulate used. If not, write no congruence can be deduced. 1. A B C T S

  6. Class Example Decide whether you can deduce by the SSS, SAS, or ASA, Postulate or AAS, HL Theorem that another triangle is congruent to If so, write the congruence and name the postulate used. If not, write no congruence can be deduced. 2. B A C J

  7. Example 3 Use AAS to prove the triangles congruent. Given:JL bisects KLM, K  M Prove:JKL  JML

  8. Example 4: Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

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