Question

Given C is the midpoint of line segment BD and AE Prove that line segment AB is congruent to DE

Answer 1

If C is the midpoint of BD and AE,then AB should be congruent to DE due to the midpoint property. If 2 segments have the same midpoints,then the segments have to be congruent to each other

Answer 2

BC and CD are congruent because C is the midpoint. AC and CE are congruent because C is the midpoint. That leaves BE, BA, AD, and DE all being congruent because the two other sides are congruent of each individual triangle