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

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Presentation on theme: "4-4 & 4-5: Tests for Congruent Triangles"— Presentation transcript:

1 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

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

3 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.

4 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.

5 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.

6 Homework: WS 4-4 #1-10

7 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.

8 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.

9 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.

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

11 Statements Reasons

12 Statements Reasons

13 Statements Reasons

14 Statements Reasons

15 Homework: WS Proofs #2


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