Worksheet: Rectangles in the Coordinate Plane

This worksheet will help you practice using the distance, slope, and midpoint formulas to determine whether a rectangle in the coordinate plane is a parallelogram.

Q1:

Rectangle is graphed in the coordinate plane with vertices , and . Find the coordinates of point .

Q2:

Rectangle is graphed in the coordinate plane with its vertices at , and . Find its perimeter.

Q3:

Rectangle is graphed in the coordinate plane with its vertices at , and . Find its area.

Q4:

Rectangle is graphed in the coordinate plane with its vertices at , and . Find its area.

Q5:

A rectangle has vertices at the points , , , and with coordinates , , , and respectively.

Work out the perimeter of the rectangle . Give your solution to two decimal places.

Work out the area of the rectangle .