A(-1,5) b (0,6) d (0,2) kite abcd has the vertices shown. find the coordinates of point c. a) (2, 5) b) (1, 5) c) (1, 4) d) (1, 6)

If ABCD is a kite, then by definition it has two pairs of congruent sides.

Let point C has coordinates (a,b).

Then

Solve the system of equations:

Square these two equations and then subtract:

Substitute b=5 into the first equation:

You get two points (1,5) and (-1,5). Point (-1,5) coincides with point A, so C(1,5).

correct choice is B.