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A parallelogram is divided into two congruent triangles by drawing a diagonal across it. Can we divide a trapezium into two congruent triangles?

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A parallelogram is divided into two congruent triangles by drawing a diagonal across it. Can we divide a trapezium into two congruent triangles? 

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No, we cannot divide a trapezium into two congruent triangles. 

∵ From the adjacent figure, 

△ABC ≆ △ADC

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