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!