This document discusses different types of triangles, including isosceles triangles, equilateral triangles, and using properties of these triangles to solve problems. It defines key parts of isosceles triangles, states properties such as the angle bisector theorem and converse isosceles triangle theorem, and provides examples of solving for missing angle and side measures in various triangles.

1. ISOSCELES-RIGHTISOSCELES-ACUTEISOSCELES-OBTUSEEQUILATERAL-EQUIANGULAR

2. ISOSCELES TRIANGLES

3. Parts of an Isosceles TriangleThe congruent sides of an isosceles triangle are the legs.The third side is the base.The two congruent sides form the vertex angle.The other two angles are the base angles.vertex angleleglegbase anglesbase

4. pg 161 The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. If AC BC and CD bisects ACB, then CD┴AB and CD bisects AB.CAB

5. CONVERSE OF ISOSCELES TRIANGLE THEOREM pg 161 If two angles of a triangle are congruent, then the sides opposite the angles are congruent.If A B, then AC BC. CAB

6. pg 160 If a triangle is equilateral, then it is equiangular.

7. If a triangle is equiangular, then it is equilateral.Find the values of x and y.Cxoyo63oAB

8. Find the values of x and y.xo3.1.yoyo110o60o60o4.2.xoxoy744o44o52o10y4

9. Solve for x.x2x-5Perimeter is 20.

10. Solve for x.xo

11. Solve for x.BDxoACAD and CD are angle bisectors.