Question

I need help with this question, please.

Answer 1

There's an obvious perpendicularity in the figure, the origin of the coordinate axes.  So we put the kite's vertices on the axes so  the diagonals are perpendicular.  We'll make the lateral symmetry along the x axis and let the left and right be different sizes.

Answer: Kite ABCD, A(0,a), B(b,0), C(0,-a), D(-d,0)