Question

If AC and BD bisect each other, which could be used to prove AEB and CED are congruent?

Answer 1

If AC and BD bisect each other, we can use the angle bisector theorem to prove the congruence of AEB and CED.

Step-by-step explanation:

If AC and BD bisect each other, then we can prove that triangles AEB and CED are congruent using the angle bisector theorem. According to the theorem, if a line bisects an angle of a triangle, it divides the opposite side into two segments that are proportional to the other two sides of the triangle. In this case, AC and BD bisect each other, so we can use the angle bisector theorem to show that AE/CE = BE/DE. This establishes the congruence of AEB and CED.