SOLUTION: In a trapezoid ABCD with legs AB and CD, the diagonals intersect each other at point O. Prove: OA�OB=OC�OD.

SOLUTION: In a trapezoid ABCD with legs AB and CD, the diagonals intersect each other at point O. Prove: OA�OB=OC�OD.

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Question 1130696: In a trapezoid ABCD with legs AB and CD, the diagonals intersect each other at point O.
Prove: OA�OB=OC�OD.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

a trapezoid with legs and , the diagonals intersect each other at point:
Observe that triangles
and are similar ==> property of trapezoid
so ==> definition of similarity
then ==> cross-products
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