Question

in the rectangle vwxy, yx = 6, xw = 8, and yw = 10. find the length of xu
a. 5
b. 6
c. 8
d. 10

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: Find length of $XU$

Since $YW = 10$ and $XU=\frac{1}{2}VX$, and $VX = YW$, then $XU=\frac{1}{2}\times YW$. Substituting $YW = 10$ into the formula, we get $XU=\frac{10}{2}=5$.

Answer:

A. 5