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Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that`a r(A O D)= a r(B O C)dot`Prove that ABCD is a trapezium.

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To prove that quadrilateral ABCD is a trapezium given that the area of triangle AOD is equal to the area of triangle BOC, we can follow these steps: ### Step 1: Understand the Given Information We know that diagonals AC and BD of quadrilateral ABCD intersect at point O such that: \[ \text{Area of } \triangle AOD = \text{Area of } \triangle BOC \] ### Step 2: Add the Areas We can add the areas of triangles AOD and BOC: ...
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