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Unformatted text preview: 5.1-5.3 Congruence of Triangles
A) Congruence ( ) a. Same size b. Same shape B) One to one correspondence between figures a. A D B C E F ABC DEF C) Definitions a. Congruent Angles i. Same measure b. Congruent Sides i. Same length c. Congruent triangle i. Corresponding sides are congruent and corresponding angles are congruent D) Definitions a. Included Side i. Included by angles whose vertices are endpoints of the segment b. Included angle i. Included by sides of the triangle which are sides of the angle A B C E) What is an equivalence relation again? F) Theorem 5-1 a. Congruence of segments is an equivalence relation G) Theorem 5-2 a. Congruence of triangles is an equivalence relation H) Identity a. A common way of referring to the reflexive property of congruence I) Three congruence postulates for triangles a. Postulate 15 (The SAS Postulate) i. Every SAS correspondence is a congruence ii. A X B C Y Z b. Postulate 16 (ASA Postulate) i. Every ASA correspondence is a congruence A X B C Y Z c. Postulate 17 (The SSS Postulate) i. Every SSS correspondence is a congruence A X B C Y Z ...
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- Spring '09