Angle Bisectors and Triangle Midsegments?

Shown below is a triangle and its angle bisectors. Drag the vertices of the triangle around. [br]What do you notice about the angle bisectors of the triangle? Does it matter if the triangle is acute, right or obtuse?
Make a statement that you think will ALWAYS be true about the angle bisectors of any triangle.
Make a statement that you think will ALWAYS be true about the angle bisectors of any triangle.
This demonstrates how a midsegment of a triangle changes when the triangle changes
Make a statement that you think will ALWAYS be true about the triangle midsegment of any triangle.
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