Geometry

The answer is C. XY + YZ = XZ.

1. Recall the properties of a midpoint:

If is the midpoint of the line segment , then by the definition of a midpoint, it divides the line segment into two congruent sub - segments. That is, .

According to the segment addition postulate, for three collinear points , , and , the length of the whole segment is equal to the sum of the lengths of its non - overlapping sub - segments and . So, .

2. Analyze each option:

A: . Since is the midpoint of , , not . So this option is false.

B: . Since

Click "Show Answer" to reveal the answer and analysis