Question

Classify PQRS with coordinates P (3,7), Q (-1,7), R (3, -1) and S (-1, -1) using as many terms as possible.

Answer 1

Answer:

Rectangle

Step-by-step explanation:

The given quadrilateral has coordinates at: P (3,7), Q (-1,7), R (3, -1) and S (-1, -1).

The length of PQ is given by:

$|PQ|=|3--1|=|4|=4$

The length of QS is $|QS|=|7--1|=|8|=8$

The length of RS is $|RS|=|3--1|=|4|=4$

The length of PR is $|PR|=|7--1|=|8|=8$

The slope of PQ is $\frac{7-7}{3--1}=0$

The slope of QS is $\frac{-1-7}{-1+1}= \infty$

The slope of RS $\frac{-1--1}{-1-3} =0$

The slope of PR is $\frac{-1-7}{3-3}=\infty$

The  quadrilateral has pair of parallel sides equal and adjacent sides perpendicular.

This is a rectangle