Questions: What is the length of segment WY?

What is the length of segment WY?
Transcript text: What is the length of segment WY?
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Solution

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Solution Steps

Step 1: Recognize the Parallelogram

The given figure is a parallelogram because it is a quadrilateral with two pairs of parallel sides.

Step 2: Property of Parallelogram Diagonals

The diagonals of a parallelogram bisect each other. This means they divide each other into two equal segments. Therefore, XV = VY and WV = VZ.

Step 3: Find the length of VY

We are given that XV = 8. Since XV = VY, then VY = 8.

Step 4: Find the Length of WY

WY is composed of two segments, WV and VY. We know that WV = 10 (given), and from Step 3 we know that VY=8. Therefore, WY= WV+VY = 10 + 8=18.

Final Answer: The final answer is $\boxed{18}$

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