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Angle Bisectors and Triangle Midsegments?

Shown below is a triangle and its angle bisectors. Drag the vertices of the triangle around. 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.