Quadrilateral ABCD satisfies both conditions below.

1) The translation that maps A to D also maps B to C

2) The reflection over line BD maps A to C.

Your teacher claims that quadrilateral ABCD must be a square. Is this correct

If yes, prove why ABCD must be a square.

If no, provide and a counterexample to your teachers claim, and why the counterargument satisfies both conditions

Thanks for all the help!

Guest Jun 3, 2021