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 = \boxed{}

Explanation:

Step1: Recall parallelogram diagonals property

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

Step2: Set up the equation

Given \( WC = 2x + 5 \) and \( CY = 3x + 2 \), we set them equal: \( 2x + 5 = 3x + 2 \).

Step3: Solve for \( x \)

Subtract \( 2x \) from both sides: \( 5 = x + 2 \). Then subtract 2 from both sides: \( x = 5 - 2 = 3 \).

Answer:

\( x = 3 \)