Geometry

The answer is A.

 

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 the distance from to is equal to the distance from to . So divides segment into two equal parts, and is the mid - point of .

 

Second figure: The points are , , . There is no point in the segment relevant to the statement, so it does not illustrate the statement.

 

Third figure: The tick marks indicate that

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