E and F are the mid point of the sides AB and CD respectively of the parallelogram ABCD. In each of the following, if the statement is true, give reason: 1 ) DF - EB 2) AF-EC . Please only who give answer who knew it.
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ABCD is ∥gm
AB∥CD
AE∥FC
⇒AB=CD
21AB=21CD
AE=EC
AECF is ∥gm
In △DQC
F is mid point of DC
FP∥CQ
By converse of mid point theorem P is mid point of DQ
⇒DP=PQ (1)
∴AF and EC bisect BD
In △APB
E is mid point of AB
EQ∥AP
By converse of MPT ( mid point theorem )
Q is mid point of PB
⇒PQ=QB (2)
By (1) and (2)
⇒PQ=QB=DP
AF and EC bisect BD..
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