1. Topic: U7L5 Proving Congruence--SSS, SAS EQ: What is meant by SSS and SAS and how do I use them in proofs?

2. Congruent Triangles Means that corresponding parts are congruent, Matching sides and angles will be congruent

3. A B C Z Y X

4. Naming ORDER MATTERS!!!!

5. Example 1 If two triangles are congruent… –Name all congruent angles –Name all congruent sides S R T Y X Z

6. Reminder… If two angles of one triangle are congruent to two angles of another triangle then the 3 rd angles are congruent

7. Keep in mind You can flip, turn or slide congruent triangles and they will maintain congruency!!

8. Side-Side-Side Congruence (SSS) If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent A B C X Y Z

9. Included angles

10. Side-Angle-Side Congruence (SAS) If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent. A B C D E F

11. Given: Triangle CDE is an isosceles triangle. G is the midpoint of CE. Prove: C G E D Statement Reason 1.Given 2.Def. of Isosceles Triangle 3.Midpoint theorem 4.Reflexive property 5.SSS 1 2 3 4 5 Triangle CDE is isosceles CD = ED CG = GE DG = DG