1. 5.5 Proving Triangle Congruence by SSS OBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.

2. Do Now 2. a) Find b) Find the value of x.

3. Side-Angle-Side (SSS) Congruence Theorem If 3 sides of one triangle are congruent to 3 sides of another triangle, then they are congruent

4. Remember! Adjacent triangles share a side, so you can apply the Reflexive Property

5. Example 1: Use SSS to explain why ∆ABC  ∆CDA.

6. Example 2: Determine if the triangles are congruent. Explain your reasoning.

8. Terms: Hypotenuse: side opposite the right angle Legs: In a right triangle, the adjacent sides to the right angle

9. HL (Hypotenuse Leg) If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then they are congruent.

10. Example 3: Can you use HL ?

11. Example 4: Show the two angles are congruent.