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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 prove that \(\frac{OA}{OC} = \frac{OB}{OD}\) in trapezium ABCD with \(AB \parallel DC\), we will use the similarity of triangles. ### Step-by-Step Solution: 1. **Identify the Trapezium and Diagonals**: We have trapezium ABCD where \(AB\) is parallel to \(DC\). The diagonals \(AC\) and \(BD\) intersect at point \(O\). **Hint**: Remember that in a trapezium, the bases are parallel. ...
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