### Congruence and kites

\(ABCD\) is a kite with \(AB = AD \ \text{and} \ CB = CD\).

- \(\triangle ABC \equiv \triangle ADC\).
- The diagonal
*AC*is an axis of reflection symmetry of the kite. - The axis
*AC*bisects the vertex angles at*A*and*C*. - \(\angle B = \angle D\).