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A rectangle A B C D , where A-=(0,0),B-=...

A rectangle `A B C D ,` where `A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2)` , undergoes the following transformations successively:
`f_1(x ,y)to(y ,x)`
`f_2(x , y)to(x+3y ,y)`
`f_3(x , y)to((x-y)/2),(x+y)/2)`
The final figure will be
(a) square
(b) a rhombus
(c) a rectangle
(d) a parallelogram

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