How do we prove triangles congruent using Side-Side-Side Postulate? Aim: Do Now: In each example, state a plan for proving the triangles are congruent. )) ) 1) 2) 1. Reflexive Post. X 1. Reflexive Post. 2. A.S.A. 2. S.A.S. ) 3) 1. Supplements of congruent angles. (( 4) 2. Reflexive Post. X 1. S.S.S. 3. S.A.S. Geometry Lesson: S.S.S. Postulate

Postulate: Postulate: Side-Side-Side Postulate (S.S.S.): If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Postulate: Construct a congruent triangle by making three congruent sides. Use a compass to find the intersection of two circles with radii of equal length as the remaining two sides. Ex: Which sides must first be proved congruent in order to prove the triangles congruent using the S.S.S. Postulate? 1) A B C D 2) E F 3) X

R T P X Given: Prove: Ex 1: Proof w/S.S.S. Statement Reason 1) 2) 3) 4) 5) 6) Given Given Def. line bisector Def. midpoint Reflexive Postulate S.S.S. Postulate Geometry Lesson: S.S.S. Postulate

N Q P R E P N X L Q • P A V C R T Ex 2,3,4: Proofs w/S.S.S. 2) Given: Prove: E P N X L Q • 3) Given: Prove: P A V C R T 4) Given: Prove: Geometry Lesson: S.S.S. Postulate

A F C D B E K P H L E G H R N P Ex 5,6: Proofs w/S.S.S. 5) Given: Prove: Ex 5,6: Proofs w/S.S.S. K P H L 6) Given: Prove: E G H R N P Geometry Lesson: S.S.S. Postulate