Question

if fg = 3v and fi = v + 22, find the value of v that makes quadrilateral ghij a parallelogram.

Explanation:

Step1: Use property of parallelogram diagonals

In a parallelogram, diagonals bisect each other. So \(FG = FI\).

Step2: Set up the equation

Given \(FG = 3v\) and \(FI=v + 22\), we have \(3v=v + 22\).

Step3: Solve the equation

Subtract \(v\) from both sides: \(3v - v=v + 22 - v\), which gives \(2v=22\).
Divide both sides by 2: \(v=\frac{22}{2}\).

Answer:

\(11\)