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Complete the coordinate proof the theorem.
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The coordinates of parallelogram ABCD are A(0, 0) , B(a, 0) , C( , ), and D(c, b) .

The coordinates of the midpoint of AC¯¯¯¯¯ are ( , b/2 ).

The coordinates of the midpoint of BD¯¯¯¯¯ are ( a+c/2 , ).

The midpoints of the diagonals have the same coordinates.

Therefore, AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.