Complete the coordinate proof of the theorem. given: a b c d is a square. prove: the diagonals of a b c d are perpendicular. art: a square a b c d is graphed on a coordinate plane. the horizontal x-axis and vertical y-axis are solid. the vertex labeled as a lies on begin ordered pair 0 comma 0 end ordered pair. the vertex labeled as b lies on begin ordered pair a comma 0 end ordered pair. the vertices c and d are unlabeled. diagonal a c and b d are drawn by dotted lines. enter your answers in the boxes. the coordinates of square abcd are a(0, 0) , b(a, 0) , c(, a), and d(0, ). the slope of ac⎯⎯⎯⎯⎯ , when simplified, is equal to . the slope of bd⎯⎯⎯⎯⎯, when simplified, is equal to −1 . the product of the slopes is equal to . therefore, ac⎯⎯⎯⎯⎯ is perpendicular to bd⎯⎯⎯⎯⎯.