Question

Two vertices of a rectangle are shown. If AC is a diagonal of the rectangle, and two other vertices of the rectangle, B and D, lie on the nodes of the grid, then how many rectangles have vertices A, B, C and D?

Answer 1

9514 1404 393

Answer:

3

Explanation:

There are 3 grid nodes suitable for vertex D that lie the same distance from the center of the rectangle as points A and C.

3 rectangles have vertices ABCD that lie on grid nodes.