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Question

In the given figure, if ACFD and ABED are parallelograms, then which of the following statements are true?

 



A

AC = DF

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B

AB = DE    

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C

BC = EF  

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D

All the above

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Solution

The correct option is B

All the above


ACFD is a parallelogram ……. (given)

CF=AD, CFAD and AC=DF………. (i)

ABED is a parallelogram …….. (given)

AD=BE, ADAB and AB=DE ……. (ii)

From equations (i) and (ii) we have,

CF=BE and CFBE

BEFC is a parallelogram (One pair of opposite sides are equal and parallel)

Hence, BC = EF.

Hence, all the three statements are correct.


Mathematics

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