Complete the coordinate proof of the theorem.
Given: ABCD is a square.
Prove: The diagonals of ABCD are perpendicular.
Enter your answers in the boxes.
The coordinates of square ABCD are A(0, 0) , B(________, 0), C(_____, a), and D(0, a) .
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, the diagonals of ABCD are perpendicular.