Check the picture below.
let's recall that in a kite has 2 pairs of equal sides and that longer diagonal will split in two equal halves the smaler diagonal.
now point D has an x-coordinate of 0, so it must be lying on the y-axis.
point F also has an x-coordinate of 0, so it lies on the y-axis as well.
point E has an x-coordinate of 0, so it lies on the x-axis, as you see in the picture.
point G must also lie on the x-axis and an equal distance from the center of the kite as point E.
