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Proving Triangles Congruent jc-schools.net/PPT/geometrycongruence.ppt The Idea of a Congruence Two geometric figures with exactly the same size and shape. F B A C jc-schools.net/PPT/geometrycongruence.ppt E D How much do you need to know. . . . . . about two triangles to prove that they are congruent? jc-schools.net/PPT/geometrycongruence.ppt Reflexive Property of Congruence • A segment is congruent to itself. • An angle is congruent to itself. Side-Side-Side (SSS) Postulate 8-1: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Side-Side-Side (SSS) 1. AB DE 2. BC EF ABC DEF 3. AC DF jc-schools.net/PPT/geometrycongruence.ppt Side-Angle-Side (SAS) Postulate 8-2: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Side-Angle-Side (SAS) 1. AB DE 2. A D 3. AC DF ABC DEF included angle jc-schools.net/PPT/geometrycongruence.ppt Included Angle The angle between two sides G I jc-schools.net/PPT/geometrycongruence.ppt H Included Angle Name the included angle: E Y S YE and ES E ES and YS S YS and YE Y jc-schools.net/PPT/geometrycongruence.ppt Included Side The side between two angles GI HI jc-schools.net/PPT/geometrycongruence.ppt GH Included Side Name the included angle: E Y S Y and E YE E and S ES S and Y SY jc-schools.net/PPT/geometrycongruence.ppt How are the triangles congruent? Reflexive Property SAS Vertical Angles SAS jc-schools.net/PPT/geometrycongruence.ppt Vertical Angles SAS Homework Work Packet: SSS and SAS