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P(-4, 6), Q(2, 5), R(3, -1), S(-3, 0)

Use slope to determine whether the following is a parallelogram. Explain why or why not.

Find the slope of PQ
Find the slope of QR
Find the slope of RS
Find the slope of SP
Use this information to determine if the quadrilateral a parallelogram.

Respuesta :

From the slopes it is confirmed that PQ || RS OR|| SP and therefore it is a parallelogram .

What is a Parallelogram ?

A parallelogram is a quadrilateral in which the opposite sides are parallel.

The coordinates of a quadrilateral is given

To prove that it is a parallelogram

PQ || RS

OR|| SP

The slope of a straight line is given by

[tex]\rm m = \dfrac{y_2 -y_1}{x_2- x_1}[/tex]

For PQ

m = (-1/6) = -1/6

For QR

m = -6/1 = -6

For RS

m = 1/(-6) = -1/6

For SP

m = -6

From the slopes it is confirmed that

PQ || RS

OR|| SP

and therefore it is a parallelogram

To know more about Parallelogram

https://brainly.com/question/11220936

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