Geometry study guide

Question

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.

Answer 1

Sammy can use the distance formula to show opposite sides are equal and the slope formula to show consecuitve angles are opposite reciprocals (negative inverses)