PLEASE HEL! Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a parallelogram? E(0, 4), F(0, 7), G(1, 5), H(1, 2)

A. Sammy can use the distance formula to show that the opposite sides have equal slopes.

B. Sammy can use the distance formula to show that all sides are equal.

C. Sammy can use the slope formula to show that the opposite sides have equal slopes.

D. Sammy can use the slope formula to show that all sides are equal.

Sammy can use the slope formula to show that the opposite sides have equal slopes.

Step-by-step explanation:

If EFGH is a parallelogram then its opposite sides should be parallel and equal

We know that slopes of parallel lines are equal .

So, we need to find the slopes of parallel lines so, that we can show that their slopes are equal

So, Option C is true

Sammy can use the slope formula to show that the opposite sides have equal slopes.

So, she can use coordinate geometry to determine whether EFGH is a parallelogram by using slope formula to show that the opposite sides have equal slopes.

f is the midpoint of