E IS THE MID POINT OF SIDE AD OF TRAPEZIUM ABCD WITH AB PARALLEL TO DC.A LINE THROUGH E PARALLEL TO AB MEETS BC IN F .SHOW F IS THE MID POINT OF BC. 

Asked by M.s.srinidhi21 | 6th Oct, 2014, 07:17: AM

Expert Answer:

I n space increment A B D comma E space i s space t h e space m i d p o i n t space o f space A D. space space space space space left square bracket G i v e n right square bracket E G space i s space p a r a l l e l space t o space A B. space space space space space space space space space space left square bracket G i v e n right square bracket therefore L i n e space E G space b i s e c t s space B D space a t space G. space left square bracket B y space m i d minus p o i n t space t h e o r e m right square bracket I n space increment B D C comma G space i s space t h e space m i d p o i n t space o f space B D. space space space space space left square bracket G i v e n right square bracket G F space i s space p a r a l l e l space t o space A B. space space space space space space space space space space space left square bracket G i v e n right square bracket therefore L i n e space G F space b i s e c t s space B C space a t space F. space left square bracket B y space m i d minus p o i n t space t h e o r e m right square bracket F space i s space t h e space m i d minus p o i n t space o f space B C.

Answered by Prasenjit Paul | 6th Oct, 2014, 11:26: AM

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