Angle Bisector in an Isosceles Triangle

[math]\bigtriangleup CAB[/math] is an isosceles triangle. The base is segment [i]CB[/i] and the legs are segments [i]CA [/i]and [i]BA[/i]. Segment [i]AD [/i]bisects [math]\angle CAB[/math], 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 [math]\angle CDA[/math] and [math]\angle BDA[/math]?
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.
Close

Information: Angle Bisector in an Isosceles Triangle