HELP PLEASE 100 POINTS AND BRAINLIEST!
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle?

a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3

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:

Let us verify the choosen option

In Quadrilateral ABCD with points A(-2,0), B(0,-2), C(-3,-5), D(-5,-3)

Using the distance formula

Since |AB| is congruent to |CD| and |BC| is congruent to |AD|, we conclude that opposite sides are congruent.

Next, let us consider the slope.

Slope of |AB|=

Slope of |BC|

Since the slopes of consecutive sides are opposite reciprocals, therefore ABCD is a rectangle.

Option D is the correct option.

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step-by-step explanation:

mental cunning

explanation:

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