Let a cyclic quadrilateral ABCD. Then the sum of the products of the two pairs of opposite sides equals the product of its two diagonals. In other words the rectangle contained by the diagonals of any cyclic quadrilateral ABCD is equal to the sum of the rectangles contained by the pairs of opposite sides.

Opposite sides paired

Sum of products in measure

Diagonals equal

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Geometry Problems

Quadrilateral

Circle

Ptolemy

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