Question

Bronson is using a coordinate plane to design a rectangular swimming pool. He will plot points on the coordinate plane to make the vertices of the rectangular pool bottom. If Bronson plots the first three points at (5,3) (5,13) and (30,13) what would be the coordinates of the fourth point?

Answer 1

(30,3)

The graph should look like a rectangle.

(x,y)

The x value must be 30 since it is a rectangle, and y must be 30 because it is a rectangle. If you look at the first three points, you see they make a triangle. (5,3) has the same x-value as the point (5,13). The point (5,13) has the same y-value as the point (30,13). So the fourth point must have a x-value and y-value that makes a rectangle when plotted.