Question:
In Fig. 4.35, state if PQ || EF.
Solution:
It is given that EP = 3 cm, PG = 3.9 cm, FQ = 3.6 cm and FQ = 2.4 cm.
We have to check that $P Q \| E F$ or not.
According to Thales theorem we have
PGGE=GQFQ
Now,
$3.93 \neq 3.62 .4$
Hence, it is not proportional.
So, $P Q$ H EF.