1. Chapter 4
Congruent Triangles

2. Section 6 Isosceles, Equilateral, and Right Triangles

3. GOAL 1: Using Properties of Isosceles Triangles

5. Example 1: Proof of the Base Angles Theorem Statements Reasons 1) 1) 2) 2) 3) 3) 4) 4) 5) 5)

6. Recall that an equilateral triangle is a special type of isosceles triangle. The corollaries below state that a triangle is equilateral if and only if it is equiangular.

7. Example 2: Using Equilateral and Isosceles Triangles
Find the value of x.
Find the value of y.

8. GOAL 2: Using Properties of Right Triangles

9. The Hypotenuse-Leg Congruence Theorem below can be used to prove that two right triangles are congruent.

10. Example 3: Proving Right Triangles Congruent

11. Statements Reasons 1) 1) 2) 2) 3) 3) 4) 4) 5) 5) 6) 6)

12. EXIT SLIP