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It’s should be D
Because if Y is the midpoint of XZ, it means XY=ZY,
or XY= half of XZ, or ZY= half of XZ.

It can also equal to 2XY=XZ, or 2ZY=XZ.

Y divides XZ into two equal parts.
abidemiokin

If the midpoint of XZ is Y, then YZ = 1/2 XZ

The midpoint theorem states that the line joining the midpoint of two sides of a triangles is congruent to the third side and also half the thirds side length.

According to the question, if Y is located at the midpoint of XZ, it means that point Y  divides he line XZ into two equal parts. Hence the following will be true;

XZ = XY + YZ ..... 1

XY = YZ.... 2

Substituting equation 2 into  1

XZ = YZ + YZ

XZ = 2YZ

Swap

2YZ = XZ

Divide both sides by 2

YZ = 1/2 XZ

Hence the correct answer will be YZ = 1/2 XZ

Learn more on midpoint theorem here:https://brainly.com/question/20297901

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