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Is ABCD in the figure, a parallelogram? Why? |
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Answer» AC = BD AB is the common side. The angles between the sides AC, AB and BD, AB are equal. ∴ BC = AD The opposite sides of quadrilateral ∆CBD are equal. The angles opposite to equal sides of triangles ∆ABC and ∆ABD are equal. So the opposite angles in quadrilateral ACBD are also equal. ∴ ACBD is a parallelogram. |
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