Answer
This quadrilateral is a parallelogram.
$y = 4$
$x = 2$
Work Step by Step
This quadrilateral is a parallelogram because opposites sides are parallel.
The diagonals of a parallelogram bisect one another.
Let's set the segments of each diagonal equal to one another:
$6 = 2y - 2$
Add $2$ to each side of the equation to move constants to one side of the equation:
$2y = 8$
Divide each side of the equation by $2$ to solve for $y$:
$y = 4$
Let's set the two segments of the other diagonal equal to one another to solve for $x$:
$2x = y$
Replace $y$ with $4$:
$2x = 4$
Divide both sides by $2$ to solve for $x$:
$x = 2$
