Three ways to prove triangles congruent.

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Proving Triangles Congruent

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Presentation transcript:

Three ways to prove triangles congruent. Lesson 3.2

Postulate 1 Postulate (SSS)-If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent. Ex.1 C A B F D E

Postulate 2 Postulate (SAS)- If there exists a correspondence between the vertices of two triangles such that two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. Ex. 2 T R S Z X Y

Postulate 3 Postulate (ASA)- If there exists a correspondence between the vertices of two triangles such that two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. Ex. 3 A B C D E F