Geometry

The answer is C.

 

1. Recall the definition of a mid - point:

A mid - point of a line segment divides the segment into two equal parts. So, if is the mid - point of segment , then .

 

2. Analyze each figure:

First figure: The tick marks show that is divided into two equal parts at point , where , so is the mid - point of , not being the mid - point of .

 

Second figure: The points are , , , and there is no point in this figure. So it does not illustrate the statement.

 

Third figure: The tick marks indicate that the distance from to