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Proving Triangles Congruent Sections 4-4 and 4-5.

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Presentation on theme: "Proving Triangles Congruent Sections 4-4 and 4-5."— Presentation transcript:

1 Proving Triangles Congruent Sections 4-4 and 4-5

2 SSS Postulate If the sides of one triangle are congruent to the sides of a 2 nd triangle, then the triangles are congruent If the sides of one triangle are congruent to the sides of a 2 nd triangle, then the triangles are congruent

3 SAS Postulate If 2 sides & the included angle of one triangle are congruent to 2 sides & the included angle of another triangle, then the triangles are congruent. If 2 sides & the included angle of one triangle are congruent to 2 sides & the included angle of another triangle, then the triangles are congruent. 30

4 ASA Postulate If 2 angles & the included side of one triangle are congruent to 2 angles & the included side of another triangle, the triangles are congruent. If 2 angles & the included side of one triangle are congruent to 2 angles & the included side of another triangle, the triangles are congruent. 30 95 30 95

5 AAS Theorem If 2 angles & a nonincluded side of one triangle are congruent to the corresponding 2 angles & side of a 2 nd triangle, the 2 triangles are congruent. If 2 angles & a nonincluded side of one triangle are congruent to the corresponding 2 angles & side of a 2 nd triangle, the 2 triangles are congruent. 30 95 30 95

6 Joke Time Why did the man sleep with a ruler? Why did the man sleep with a ruler? to see how long he could sleep

7 What kind of undergarment does the Little Mermaid wear? What kind of undergarment does the Little Mermaid wear? an alge-bra


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