# Angle Bisector in an Isosceles Triangle

is an isosceles triangle. The base is segment

*CB*and the legs are segments*CA*and*BA*. Segment*AD*bisects , the vertex angle of the triangle.Drag a vertex. What do you notice about segments CD and DB?

What can you conclude that segment AD does to segment CB?

What type of angles are and ?

Write a conjecture that summarizes your findings about the angle bisector, segment AD, of the vertex angle in an isosceles triangle and its base, segment CB.