Question

T
A plot is in the form of AAEF. Owner of this plot wants to build old age home, he
centre and dispensary for elderly people as shown in figure. In which ABCD
parallelogram and AB = BE and AD = DF.
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Answer 1

Answer:

So AB  = BE (given)

since ABCD Is parallelogram,

AB = DC = BE (opposite sides of parallelogram are equal)

so we get that DC = BE.

now ,

DF = AD (given)

AD = BC = DF (since opposite sides are equal)

so we get DF = BC.

and also ABE = ADF.

now as you can see ABCD is parallelogram, the opposite angles are equal.

since angle ABC = angle ADC so,

angle ABC + EBC = ADC(ABC) + angle CDF    

angle EBC = angle CDF

so CB = DF,  DC = BE and angle CBE = angle FDC,

TRIANGLE DFC = TRIANGLE BCE by SAS Congruency.

Step-by-step explanation:

hopes it help you + gl for your exam :)