All rectangles below have sides parallel to the axes. Find the coordinates of the remaining vertices of each.

Coordinates of A = (– 2,3)

Coordinates of C = (2,4)

Line AB is parallel to X – axis ,

∴ Y coordinate will remain constant.

∴ Y – coordinate of B = 3

Line BC is parallel to Y – axis ,

∴ X coordinate will remain constant.

∴ X coordinate of B = 2

∴ coordinates of B = (2,3)

Line AD is parallel to Y – axis ,

∴ X coordinate will remain constant.

∴ X coordinate of D = – 2

Line CD is parallel to X – axis ,

∴ Y coordinate will remain constant.

∴ Y coordinate of D = 4

∴ coordinates of D = (– 2,4)

Hence, the remaining vertices of the rectangle are (2,3),(– 2,4).