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Question

ABCD is a parallelogram The sides AB and AD are produced to E and F respectively, such that AB=BE and AD=DF.
Hence, BECDCF
If the above statement is true then mention answer as 1, else mention 0 if false

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Solution

BAD=CDF (Corresponding angles for parallel lines AB and CD)
BAD=CBE (Corresponding angles for parallel lines AB and CD)
Thus, CDF=CBE (I)
We know, AD=BC (ABCD is a parallelogram)
and AD=DF (Given)
Thus, DF=BC (II)
Similarly, BE=CD (III)
Now, In CDF and CBE
CDF=CBE (From I)
FD=BC (From II)
BE=CD (From III)
Thus, FDCCBE (SAS rule)
BECDCF

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