Given: Point Y is the midpoint of with XZ = 32. What is XY and YZ?
The correct answer is D.XY = 16 and YZ = 16.
1. Recall the property of a midpoint:
If a point is the midpoint of a line segment , then it divides the line segment into two congruent sub - segments. That is, .
Also, by the segment addition postulate, for three collinear points , , and , .
Since and , we can substitute with in the equation . So we have .
2. Solve for and :
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