Math, asked by Anonymous, 1 year ago

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


spriya: ssc
Anonymous: CBSE
Revolution: ab and c...which is among c?
Anonymous: SORRY AB AND CD
spriya: proper question u say
Anonymous: in a parallelogram abcd, e and f are points on ab and cd such that ae=cf prove that ed parallel to bf
Anonymous: pls answer fastly 3 more chapters to study
Anonymous: tommarow is maths exam
spriya: ok i got it
spriya: i will answer u in few sec

Answers

Answered by spriya
1
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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Revolution: include pic
Anonymous: thank u i wil mark it as brainliest
Answered by littlehearts
0
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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