Question

Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2

Answer 1

Explanation:

Statements Reasons

1). M is the midpoint of segment AB 1). Given

B is the midpoint of segment MD

2). AM = MB and MB = BD 2). Definition of midpoint

3). MD = MB + BD 3). Segment Addition Postulate

4). MD = MB + MB 4). Substitution property of of Equality

5). MD = 2MB 5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB