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Quadrilaterals — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSQuadrilaterals2 Marks
Question
it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not?
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Answer

Yes, in the given figure, BDEF is a parallelogram..
$\therefore$ BD || EF and BD = EF …(i)
Also, FDCE is a parallelogram.
$\therefore$ CD||EF
and CD = EF …(ii)
From Eqs. (i) and (ii), BD = CD = EF

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