Question

The vertices of quadrilateral PQRS are P(4, 5), Q(6, 6), R(9, 4), and S(7, 2). Write a paragraph proof to determine whether quadrilateral PQRS is a parallelogram.

Answer 1

Answer:

Since each side has a different slope, none of the sides are parallel. So quadrilateral PQRS is not a parallelogram.

Step-by-step explanation:

Answer 2

The given vertices do not make a parallelogram that has been proved below.

What is parallelogram?

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

A square and rectangle is always a parallelogram because they have opposite sides.

Given that four vertices P(4, 5), Q(6, 6), R(9, 4),S(7, 2)

The slope of line PQ.

⇒ (6 -5)/(6 - 4)

⇒ 0.5.

Now the slope of the line RS

⇒ (2-4)/(7 - 9)

⇒ -1 since, slope of the line PQ is not matching with RS so it is not a parallelogram.

For more information about parallelogram

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