Question

1. what is the length of $overline{xy}$ if the quadrilateral is an isosceles trapezoid? 24 7 12 6

Explanation:

Step1: Recall property of isosceles trapezoid

In an isosceles trapezoid, the non - parallel sides are equal. So, we set up the equation based on the lengths of the non - parallel sides: $12=y + 6$.

Step2: Solve for y

Subtract 6 from both sides of the equation $12=y + 6$. We get $y=12−6=6$.

Step3: Find length of $\overline{XY}$

The length of $\overline{XY}$ is given by $y + 1$. Substitute $y = 6$ into $y + 1$. So, $XY=6 + 1=7$.

Answer:

7