Question

What is the reason for if M is the midpoint of AB then AM = BM?

A) Definition of Midpoint
B) Definition of Congruent Segments
C) Addition Property
D) Subtraction Property

Answer 1

The reason for AM = BM when M is the midpoint of AB is the Definition of Midpoint.

Step-by-step explanation:

Definition of Midpoint: If M is the midpoint of AB, it means that M is the point that divides the segment AB into two equal parts. So, AM and BM are equal in length.

Example: Suppose we have a line segment AB with a length of 10 units. If M is the midpoint, then the distance from A to M would be 5 units, and the distance from B to M would also be 5 units.

Based on this definition, we can conclude that the reason for AM = BM when M is the midpoint of AB is Option A: Definition of Midpoint.