Rectangles on the Cartesian Plane

Topic:
Algebra

Square

Move the points to form a square. Calculate the side length of your square. Calculate the area of your square. Calculate the length of the diagonal of your square - correct to one decimal place or use the square root symbol.

List the x-coordinate of the four points of your square.

Rectangle

Move the points to make a rectangle such that the base is double the length of the height. Calculate the area of the rectangle. Calculate the length of the diagonal. Notice how the coordinates can help with the calculations.

List the x coordinate of your four points. Explain how you can use the x coordinates to calculate the base.

Rectangle in quadrants

Move the points to form a rectangle such one vertex is in each quadrant. Calculate the area of the rectangle. Calculate the length of the diagonal.

List the x-coordinate of each point. Take care to include the negative sign.

List the y-coordinate of each point. Take care to include the negative sign.

Rectangle with coordinates

This rectangle has already been plotted. Answer the questions below.

What is the length of the base? What is the height? What is the area? What is the length of the diagonal, correct to one decimal place?

Rectangle with coordinates, no grid

This rectangle has already been plotted. The grid has been removed. If needed, the grid can be turned back on using the menu button given. Answer the questions about the rectangle below.

What is the length of the base? What is the height? What is the area? What is the length of the diagonal, correct to one decimal place?

Rectangle in four quadrants, no grid

This rectangle has already been plotted. The grid has been removed. If needed, the grid can be found on the menu button given. Answer the questions about the rectangle below.

What is the length of the base of this rectangle? What is the height of this rectangle? What is the perimeter of this rectangle?