Question

Rectangle PQRS has vertices at P(3,5), Q(8,5), R(8,0) and S. The coordinates of point S are

A) (5,8)
B) (0,8)
C) (-3,0)
D) (-3,8)

Answer 1

The coordinates of point s are
`(3,0)`

Explanation:

we have

`P(3,5), Q(8,5), R(8,0)`

using a graphing tool

Plot the rectangle

see the attached figure to better understand the problem

we know that

The x-coordinate of S must be equal to the x-coordinate of point P

The y-coordinate of S must be equal to the y-coordinate of point R

because SP must be parallel to QR

therefore

The coordinates of point s are
`(3,0)`