Question

The coordinates of the vertices of quadrilateral ABCD are A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1). Drag and drop the choices into each box to correctly complete the sentences. The slope of AB¯¯¯¯¯ is Response area, the slope of BC¯¯¯¯¯ is Response area, the slope of CD¯¯¯¯¯ is Response area, and the slope of AD¯¯¯¯¯ is Response area. Quadrilateral ABCD is Response area because Response area.

Answer 1

Slope of AB = 4/3, Slope of BC = -2/7, Slope of CD = 4/3, Slope of AD = -2/7 and Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.

How to find the slope of a quadrilateral?

We are given the coordinates of the quadrilateral ABCD as;

A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1).

Slope of AB = (5 - 1)/(-2 + 5) = 4/3

Slope of BC = (3 - 5)/(5 + 2) = -2/7

Slope of CD = (-1 - 3)/(2 - 5) = 4/3

Slope of AD = (-1 - 1)/(2 + 5) = -2/7

Thus we can see that both pairs of slope are equal which denotes that both pairs are parallel.

Read more about Slope of quadrilateral at; brainly.com/question/16691874

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