On the coordinate plane shown, the points A(4, 4),
B (−2, 4) , and C(−2, −3)
are plotted. What will be the coordinates of point D if ABCD forms a square
Since ABCD is a square, we know that all sides are equal in length. Therefore, the distance between A and B must be equal to the distance between B and C.
The distance between A and B is:
sqrt((4-(-2))^2 + (4-4)^2) = sqrt(36) = 6
The distance between B and C is:
sqrt((−2−(−2))^2 + (4−(−3))^2) = sqrt(49) = 7
Since these distances are not equal, it is impossible for ABCD to form a square. Therefore, we cannot determine the coordinates of point D.