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Diagonals AC and BD of a trapezium ABCD...

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that `(O A)/(O C)=(O B)/(O D)`

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To solve the problem, we need to show that in trapezium ABCD, where AB || CD, the ratio of the segments of the diagonals OA and OC is equal to the ratio of the segments OB and OD, i.e., (OA)/(OC) = (OB)/(OD). ### Step-by-Step Solution: 1. **Identify the trapezium and its properties**: - We have trapezium ABCD with AB parallel to CD. The diagonals AC and BD intersect at point O. 2. **Use the properties of parallel lines**: ...
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