PLS VERY URGANT
in a parallelogram abcd e and f are the midpoints of sides ab and c such that ae=cf prove that ed parallel to bf

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in a parallelogram abcd, e and f are points on ab and cd such that ae=cf prove that ed parallel to bf
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tommarow is maths exam
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Answers

2015-03-09T19:42:44+05:30
given: ABCD is a parallelogram and AE = CF.......(1). TPT: EDBF proof: since the opposite sides of the parallelogram are equal. AB = CD.......(2) subtract (1) from (2): .......(3) and BE is parallel to DF, therefore BEDF is a parallelogram. thus ED is parallel to BF. hope this helps you.
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2015-03-09T19:57:47+05:30
E is the midpoint of AB. F is the midpoint of CD
AE = CF (given)
 AE=BE (E is the mid point of AB)
similarly, CF=DF (F is the mid point)
AE +BE= CF+DF
AB=CD
AB11 CD ( opp.sides of parallelogram are equal and parallel)
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