The document discusses how to prove triangles congruent using the Side-Side-Side Postulate. It states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. It provides examples of proving triangles congruent by showing that corresponding sides are congruent and using the Side-Side-Side Postulate.

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

2. 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. 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) A B C D E F 3) A B C D X

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

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

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