Angle Bisector of the Vertex Angle

AD bisects the vertex angle of isosceles triangle ABC.[br]Drag the points to adjust the triangle.[br][br]What is always true about angle BDA?
Drag the points to adjust the triangle.[br][br]What is always true about BD and DC?
In an isosceles triangle, the angle bisector of the vertex angle is also the ______ of the base.
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