if a quadrilateral is a parallelogram, what are the missing measurements if CD = 15,DE =10,

Question

FD =22, CG =7, what are the measurements of CF, FE, CE, and GD?

Answer 1

Since the quadrilateral is a parallelogram, opposite sides are equal in length. So, CD = FE = 15 and CG = FD = 22.

Therefore, CF = CG - FD = 7 - 22 = -15

Since CD = FE = 15 and DE = 10, CE = CD - DE = 15 - 10 = 5

Lastly, GD = CG - CD = 7 - 15 = -8

So, CF = -15, CE = 5, FE = 15, and GD = -8.