Geometry

The answer is A. QP = QR.

1. Recall the definition of a mid - point:

If is the midpoint of the line segment , it divides into two congruent sub - segments.

By the definition of congruent segments, if is the midpoint of , then .

Also, according to the segment addition postulate, . Since , we can say .

2. Analyze each option:

A: . This is true because a mid - point of a line segment divides the segment into two equal - length parts. So, if is the midpoint of , the lengths of and are equal.

B: