## Geometry: Common Core (15th Edition)

This quadrilateral is a parallelogram. $y = 4$ $x = 2$
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 $x$: $x = 2$