Question

practice proving that a quadrilateral is a parallelogram
in quadrilateral wxyz, wc = 2x + 5 and cy = 3x + 2.
what must x equal for quadrilateral wxyz to be a
parallelogram?
x =

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(WC = CY\).

Step2: Set up the equation

Set \(2x + 5=3x + 2\).

Step3: Solve the equation

Subtract \(2x\) from both sides: \(5=x + 2\).
Subtract \(2\) from both sides: \(x=5 - 2\).

Answer:

\(x = 3\)