Congruent Triangles with Bisectors

1. What do you notice about the distances between any point on the perpendicular bisector (point D) and the endpoints of the line segment?

2. Explain how you could use concepts of congruent triangles and corresponding parts to prove your conclusion in #1.

1. What do you notice about the distances between any point on the angle bisector (point D) and the sides of the angle?

2. Explain how you could use concepts of congruent triangles and corresponding parts to prove your conclusion in #1.