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Question
In the following figure, BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not?
Solution
\[\text{ In parallelogram BDEF }\]
\[ \therefore BD = EF . . . (i) (\text{ opposite sides of a parallelogram are equal })\]
\[\text{ In parallelogram DCEF }\]
\[ CD = EF . . . (ii) (\text{ opposite sides of a parallelogram are equal })\]
\[\text{ From equations (i) and } (ii)\]
\[BD = CD\]
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