Question

$E$ and $F$ are the points on the side $PQ$ and $PR$ respectively of $△PQR$. For each of the following cases, state that $EF\parallel QR$. If True type $1$ and for False type $0$

$PE=4cm$, $QE=4.5cm$, $PF=8cm$ and $RF=9cm$

Answer 1

$\frac{PE}{EQ}=\frac{4}{4.5}=\frac{8}{9}$
$\frac{PF}{FR}=\frac{8}{9}$
Since, $\frac{PE}{EQ}=\frac{PF}{FR}$
Hence, By converse of equal intercept theorem, $EF\parallel QR$