Proving Triangles Proving Triangles CongruentCongruent

Sections 4-4 and Sections 4-4 and 4-54-5

SSS PostulateSSS Postulate If the sides of one triangle If the sides of one triangle

are congruent to the sides are congruent to the sides of a 2of a 2ndnd triangle, then the triangle, then the triangles are congruenttriangles are congruent

SAS PostulateSAS Postulate If 2 sides & the included angle If 2 sides & the included angle

of one triangle are congruent of one triangle are congruent to 2 sides & the included to 2 sides & the included angle of another triangle, then angle of another triangle, then the triangles are congruent.the triangles are congruent.

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ASA PostulateASA Postulate If 2 angles & the included If 2 angles & the included

side of one triangle are side of one triangle are congruent to 2 angles & the congruent to 2 angles & the included side of another included side of another triangle, the triangles are triangle, the triangles are congruent. congruent.

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AAS TheoremAAS Theorem If 2 angles & a nonincluded If 2 angles & a nonincluded

side of one triangle are side of one triangle are congruent to the congruent to the corresponding 2 angles & corresponding 2 angles & side of a 2side of a 2ndnd triangle, the 2 triangle, the 2 triangles are congruent.triangles are congruent.

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Joke TimeJoke Time

Why did the man sleep Why did the man sleep with a ruler?with a ruler?

to see how long he could to see how long he could sleepsleep

What kind of What kind of undergarment does the undergarment does the Little Mermaid wear?Little Mermaid wear?

an alge-braan alge-bra