Question

A rectangle has vertices at these coordinates. (1,7) (1,3) (9,3). What are the coordinates of the fourth vertex of the rectangle?

Answer 1

The area of the triangle is 16.

You can find this by plotting each of the points and drawing the triangle. You can then use the distance formula to determine each side length. The rectangle will be 2 on one side and 4 on the other. When multiplied together, it will give you the above answer

Answer 2

Answer: (9,7)

Explanation:

By definition, a rectangle is a quadrilaleral that has two pairs of equal sides.

When you plot the points given in the problem you obtain the points shown in the first figure.

Then, keeping the definition above on mind, the fourth vertex must be at coordinates (9,7), as you can see in the second figure.