Question

isosceles triangle abc is folded along bm with m chosen in such a way that it is the midpoint of side ac, the shortest side. which pair of sides are congruent based on the definition of midpoint? which pair of sides are congruent based on the reflexive property? which pair of sides are congruent based on the definition of isosceles triangles?

Explanation:

Step1: Recall mid - point definition

A mid - point divides a line segment into two equal parts. Since M is the mid - point of AC, AM = MC.

Step2: Recall reflexive property

The reflexive property states that a segment is congruent to itself. So, BM = BM.

Step3: Recall isosceles triangle definition

An isosceles triangle has two equal sides. In isosceles triangle ABC, AB = BC.

Answer:

1. AM and MC
2. BM and BM
3. AB and BC