1. 4-5 Isosceles and Equilateral Triangles
L.E.Q. How do you use and apply properties of isosceles triangles to solve problems?

2. Parts of an Isosceles Triangle.
Between the 2 legs.
Surround the base.

3. Theorem 4-3: Isosceles Triangle Theorem.
If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.

4. Theorem 4-4: Converse of Isosceles Triangle Theorem.
If 2 angles of a triangle are congruent, then the sides opposite the angles are congruent.

5. Theorem 4-5: Vertex Angle Bisector Theorem.
The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.

6. Example: Using the Isosceles Triangle Theorems.

7. Example: Using Algebra.
Find the values of x and y.

8. A corollary is a statement that follows immediately from a theorem.

9. Corollary to Theorem 4-3.
If a triangle is equilateral, then the triangle is equiangular.

10. Corollary to Theorem 4-4.
If a triangle is equiangular, then the triangle is equilateral.

11. Homework:
Pg #s 3 – 16, all.