In the adjoining figure, BDEF and AFDE are parallelograms.

Question:

In the adjoining figure, BDEF and AFDE are parallelograms. Is AF FB? Why or why not

Solution:

Given: Parallelograms BDEF and AFDE.

Since, BF = DE     (Opposite sides of parallelogram BDEF)       ...(i)

And, AF = DE     (Opposite sides of parallelogram AFDE)       ...(ii)

From (i) and (ii), we get

AF = FB

 

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