Question

if fj = 13c - 1 and hj = 16c - 4, find the value of c that makes quadrilateral fghi a parallelogram.

Explanation:

Step1: Set segments equal (parallelogram diagonals bisect)

$13c - 1 = 16c - 4$

Step2: Rearrange terms to isolate $c$

$-1 + 4 = 16c - 13c$

Step3: Simplify and solve for $c$

$3 = 3c \implies c = \frac{3}{3}$

Answer:

$1$