(04.01 LC)

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle?

Prove that segments AD and AB are congruent and parallel.

Prove that opposite sides are congruent and that the slopes of consecutive sides are equal.

Prove that segments BC and CD are congruent and parallel.

Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals

(D)Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals

Step-by-step explanation:

To use coordinate geometry to prove that quadrilateral ABCD is a rectangle. We prove that opposite sides are congruent in order to show equality of the lines.

We also show that the slopes of consecutive sides are opposite reciprocals, this is in order to show that the lines are perpendicular to one another.

The correct option is D.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

what is all that apply?