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In the adjacent figure ABCD is a parallelogram ABEF is a rectangle show that ∆AFD~∆BEC
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In given figure ABCD is a parallelogram and ABEF is a rectangle .
Then AF=BE (opposite side of rectangle ).....................(1)
And AD=BC (opposite side of parallelogram )...................(2)
∠AFE=∠AFD=∠BEF=∠BEC=90
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(angle of rectangle ABEF)....................................(3)
ΔAFD and ΔBEC
∠AFD=∠BEC=90
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..(From 3)
AF=BE (From 1)
AD=BC (From 2)
∴ΔAFD≅ΔBEC
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