AB is the midsegment of AXYZ and PQ is the midsegment of XAB. What is the relationship in length between PQ and YZ? O PQ = 1/8 Y Z O PQ = 1/2YZ O PQ = 1/4Y Z O PQ = 1/3YZ​

third option: PQ = 1/4(YZ)

Step-by-step explanation:

By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:

In triangle XYZ, AB = 1/2(YZ)

And in triangle XAB, PQ = 1/2(AB)

We can substitute AB into the second equation to get:

PQ = 1/2(1/2(YZ))

PQ = 1/4(YZ)

This is the third option.

594 square inches

step-by-step explanation:

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