Complete the coordinate proof of the theorem. Given: ABCD is a rectangle.
Prove: The diagonals of ABCD are congruent.

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The coordinates of rectangle ABCD are A(0, 0), B(, 0) , C(a, b), and D(0, ) .

The length of AC⎯⎯⎯⎯⎯ is equal to .

The length of BD⎯⎯⎯⎯⎯ is equal to .

The diagonals of the rectangle have the same length.

Therefore, the diagonals of ABCD are congruent.