Do the diagonals on a square intersect at right angles outside the shape?

Answer 1

To investigate this intriguing question, we recreated the situation on our scratch-pad.

Using a #2 pencil, we drew a square, and then connected the opposite corners

to form the diagonals. The instant the second diagonal was drawn, we noticed

immediately that it intersected the first diagonal at right angles, and that the

phenomenon took place inside the square. We're quite certain that the same

thing would happen in any square.