Question

A(2,5),B(2,-3), and D(-6,5) are three verticals of square ABCD. What are the coordinates of the fourth vertex, c?

Answer 1

(-6,-3)

Explanation:

The explanation is in the picture. I really feel like the picture does a better job of explaining it then I could with words.

Answer 2

C (-6,-3)

Explanation:

A(2,5),B(2,-3), and D(-6,5)

AB has a length of 8 since the x coordinate is the same , we only worry about the y

5--3 = 5+3 = 8

AD has a length of 8 since the y coordinate is the same, we only worry about the x

2 --6 = 2+6 =8

Notice a pattern.

A and B have the same X

A and D have the same Y

B and C will need the same Y for it to be a square

C and D will need the same x

B has a y coordinate of -3

D has an x coordinate of -6

C will have coordinates of (-6,-3)

If we look at the attached graph of the 3 points, we see that to make the square, we need to add a point at (-6,-3)