Question

Three vertices of a square are (–1, 3), (–1, –1), and (3, 3). What is the fourth vertex of the square? A. (–1, –3) B. (1, 3) C. (3, 0) D. (3, –1)

Answer 1

It helps to draw out the problem on a piece of graph paper; if you do, you can see that the fourth point would be directly below (3,3) and directly to the right of (-1,-1), meaning that its coordinates would be (3,-1). A more algebraic method would be to subtract 4, the length of each side of the square, from the y-coordinate of (3,3) and to add 4 to the x-coordinate (-1,-1) to get the same point, (3,-1).