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**4-4 & 4-5: Tests for Congruent Triangles**

Objective: Use SSS, SAS, ASA & AAS to prove triangle congruence. Use GSP “Triangles” sample sketch to help show before going through powerpoint Also, print copies of proofs in slides 11-14

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SSS Postulate If the sides of one triangle are congruent to the sides of another triangle, then the triangles are congruent.

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SAS Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

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**Ex. 1: Determine if the triangles can be proved congruent**

Ex. 1: Determine if the triangles can be proved congruent. If so, state why, and make a congruence statement. a. b.

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**Ex. 1, cnt’d: Determine if the triangles can be proved congruent**

Ex. 1, cnt’d: Determine if the triangles can be proved congruent. If so, state why, and make a congruence statement. c. d.

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Homework: WS 4-4 #1-10

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ASA Postulate If two angles and the included side of one triangle are congruent two angles and the included side of another triangle, then the triangles are congruent.

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AAS Postulate If two angles and a non-included side of one triangle are congruent two angles and a non-included side of another triangle, then the triangles are congruent.

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**Ex. 2: Determine if the triangles can be proved congruent**

Ex. 2: Determine if the triangles can be proved congruent. If so, state why, and make a congruence statement. a. b.

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Homework: WS 4-4 & 4-5 #1-12

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Statements Reasons

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Statements Reasons

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Statements Reasons

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Statements Reasons

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Homework: WS Proofs #2

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