(4.2) Triangle Congruence by SSS and SAS

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Presentation transcript:

(4.2) Triangle Congruence by SSS and SAS Objective: To prove two triangles congruent using the SSS and the SAS Postulates.

Congruent Triangles Postulate 4-1: Side-Side-Side (SSS) Postulate: If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Proving Triangles Congruent F H J K Statements Reasons 1. 2. 3. 4.

Proving Triangles Congruent B D A C Statements Reasons 1. 2. 3.

Congruent Triangles Postulate 4-2: Side-Angle-Side (SAS) Postulate: If two sides and an included angle of one triangle are congruent to two sides and an included angle of another triangle, then the two triangles are congruent.

Proving Triangles Congruent Can you use the following information to prove the triangles congruent? A E B C D Not enough information to prove triangles congruent!!

Proving Triangles Congruent Can you use the following information to prove the triangles congruent? A E B C D Statements Reasons 1. 2. 3.

4.2 Triangle Congruence by SSS and SAS Homework: 1. (4.2) Pgs. 208-210; 3, 6-13 all, 16-18 all, 20-25 all, 28-30 all Due: Mon. 2. Unit 3 Portfolio Due: Mon. 3. MM T3 S2 Due: Mon. Thank you for being so great today!