Need help please! Proofs

FallenStarss

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Nov 23, 2021
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In figure, ABCD is a parallelogram. E and F are mid-points of the sides AB and CD respectively.

AF and DE intersects at P ; BF and CE intersects at Q Prove that

(i) AECF is a parallelogram

(ii) BEDF is a parallelogram,

(iii) PEQF is a parallelogram.

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Subhotosh Khan

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In figure, ABCD is a parallelogram. E and F are mid-points of the sides AB and CD respectively.

AF and DE intersects at P ; BF and CE intersects at Q Prove that

(i) AECF is a parallelogram

(ii) BEDF is a parallelogram,

(iii) PEQF is a parallelogram.

View attachment 29854
To prove AECF is a parallelogram, we need prove AF || EC

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.

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