Question

question 4 of 27
which of the following is the length of (overline{gf}) given that figure defg is a parallelogram ?
image of parallelogram defg with de labeled 12, dg labeled 8
a. 8
b. 6
c. 12
d. 4

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite sides are equal. So, \( \overline{DE} \) and \( \overline{GF} \) are opposite sides.

Step2: Identify length of \( \overline{DE} \)

From the figure, \( DE = 12 \).

Step3: Determine length of \( \overline{GF} \)

Since \( DE = GF \) (opposite sides of parallelogram), \( GF = 12 \).

Answer:

C. 12