Question

type the correct answer in the box. use numerals instead of words. in parallelogram defg, de = 6 inches and df = 8.4 inches. diagonals $overline{ge}$ and $overline{df}$ intersect at point h. if gh = 4 inches, what is the length of $overline{ge}$? ge = inches

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So if the diagonals $\overline{GE}$ and $\overline{DF}$ intersect at point $H$, then $GH = HE$.

Step2: Calculate length of $GE$

Since $GH = 4$ inches and $GE=GH + HE$, and $GH = HE$, then $GE = 2\times GH$. Substituting the value of $GH = 4$ inches, we get $GE=2\times4 = 8$ inches.

Answer:

8