In fig. state if PQ || EF. - Vidyadip

Question

In fig. state if PQ || EF.

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Answer

We have,
DP = 3.9cm, PE = 3cm, DQ = 3.6cm and QF = 2.4cm.
Now, $\frac{\text{DP}}{\text{PE}}=\frac{3.9}{3}=\frac{1.3}{1}=\frac{13}{10}$
And, $\frac{\text{DQ}}{\text{QF}}=\frac{3.6}{2.4}=\frac{36}{24}=\frac{3}{2}$
$\Rightarrow\frac{\text{DP}}{\text{PE}}\neq\frac{\text{DQ}}{\text{QF}}$
So, PQ is not parallel to EF.

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