Question

fall 2025 geometry b wwva
proving a quadrilateral is a parallelogram
quadrilateral rstu is a parallelogram. what must be the value of x?

Explanation:

Step1: Use property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(UV = VS\).
Given \(UV=(x - 3)\) and \(VS=(3x-13)\), we set up the equation \(x - 3=3x-13\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(-3 = 2x-13\).
Add \(13\) to both sides: \(10 = 2x\).
Divide both sides by \(2\): \(x = 5\).

Answer:

\(5\)