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14. Quadrilaterals
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Q5 of 95 Page 14

The sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.

Given,


In a parallelogram ABCD


AB & CD bisect at E & F



AB ⎸⎸CD


AB = DC


EB ⎸⎸DF


So, EB = DF



So, EBFD is a parallelogram.


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ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.

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P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP. Proves also that AC bisects PQ.

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Questions · 95
14. Quadrilaterals
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