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  • In the adjoining figure, ABCD is a parallelogram and E is the midpoint of BC. Also, DE and AB when produced meet at F. Then which of the following is true  <img alt="" src="http

In the adjoining figure, ABCD is a parallelogram and E is the midpoint of BC. Also, DE and AB when produced meet at F. Then which of the following is true 

Option: 1

AF = 2AB


Option: 2

2AF =3AB


Option: 3

AF = 3AB


Option: 4

None of these


Answers (1)

best_answer

AS ABCD is a parallelogram

In triangle, EDC and EDC

∠ DCE = ∠ EBF   (alternate interior angle)

∠ DEC = ∠ FEB    (vertically opposite angle)

BE = EC

? EDC ≅ ? EDC        (ASA rule)

and therefore,  BF = DC = AB

AF = AB + BF = AB + DC

AF = 2AB

 

Posted by

vishal kumar

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