Question

in the rectangle vwxy, yx = 6, xw = 8, and yw = 10. find the length of xu

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal and bisect each other. Here, $YW$ and $VX$ are diagonals of rectangle $VWXY$, and they bisect each other at point $U$.

Step2: Use diagonal - bisection fact

Since $YW = 10$ and the diagonals bisect each other, $XU=\frac{1}{2}VX$. Also, $VX = YW$. So $XU=\frac{1}{2}YW$.

Step3: Calculate length of $XU$

Substitute $YW = 10$ into the formula $XU=\frac{1}{2}YW$. We get $XU=\frac{1}{2}\times10 = 5$.

Answer:

A. 5