Question

1. what is the length of $overline{ab}$ if the quadrilateral is an isosceles trapezoid? 2x 4 2x + 2 2 1 4 3

Explanation:

Step1: Recall isosceles trapezoid property

In an isosceles trapezoid, the non - parallel sides are equal. So, $AD = BC$. Given $AD = 4$ and $BC=2x + 2$, we set up the equation $2x+2 = 4$.

Step2: Solve the equation for x

Subtract 2 from both sides of the equation $2x+2 = 4$: $2x=4 - 2$, so $2x=2$. Then divide both sides by 2: $x = 1$.

Step3: Find the length of $\overline{AB}$

The length of $\overline{AB}$ is given by $2x$. Substitute $x = 1$ into $2x$, we get $2\times1=2$.

Answer:

2