Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rectangle?

E(7, 10), F(4, 7), G(6, 5), H(9, 8)

Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
Sammy can use the distance formula to show opposite are perpendicular and the slope formula to show that consecutive sides are equal.
Sammy can use the distance formula to show that all sides are equal and the slope formula to show that consecutive sides have the same slope.
Sammy can use the distance formula to show that all sides are parallel and the slope formula to show that consecutive sides are equal.

The true statement about the quadrilateral will be (a) Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.

How to determine the true statement?

The coordinates are given as:

E(7, 10), F(4, 7), G(6, 5), H(9, 8)

To determine if the quadrilateral EFGH is a rectangle, the following statements, must be true.

Opposite sides must be congruent.

Opposite sides must have equal slopes.

Adjacent sides must have opposite reciprocals as their slopes.

Therefore, The above highlight means that the true statement is (a)