geometry

diagonals bisect each other

A 180 degree rotation around the intersection of the diagonals maps each endpoint of a diagonal to the other endpoint.

opposite angles are congruent

a 180 degree rotation maps each angle to its opposite angle.

opposite sides are congruent

a 180 degree rotation maps each side to its opposite side about the center of the —shape-name—-.

diagonals congruent

reflection across a line of symmetry maps one diagonal to another

diagonals perp

reflection across a diagonal maps the other diagonal onto itself creating right angles

angles bisected

reflection across a diagonal maps ½ of the angle onto the other half.

4 congruent sides

reflection across the diagonals maps the sides onto each other.