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

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Proving Triangles Congruent

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Presentation transcript:

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

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

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.

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.

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.

Homework: WS 4-4 #1-10

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.

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.

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.

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

Statements Reasons

Statements Reasons

Statements Reasons

Statements Reasons

Homework: WS Proofs #2