*ABCD*is a kite and point

*E*is the intersection of its diagonals. Which of the following transformations in (a)-(d) can be used to prove that \(\displaystyle \triangle ABC \cong \triangle ADC\) using the transformation definition of congruence?

(a) The rotation around

*E*of 180 degrees

(b) The translation from

*B*to

*E*

(c) The rotation around

*E*of 90 degrees

(d) The reflection with respect to \(\displaystyle \overline{AC}\)

I'm not sure how to solve this. I know that if I reflect over the line AC, that will map the shape exactly to itself, but I don't know if that proves congruence. I also cannot figure out if any of the other ways can do this. Can anyone help me out a bit?