Question

In Fig. 4.35, state if PQ||EF.

Answer 1

Answer:

No the are not parallel

Step-by-step explanation:

because pd/ep not= da/qf

1.3/1 not= 2/3

Answer 2

PQ is not parallel to EF.

Step-by-step explanation:

See the attached diagram.

We know that if we join two points on two sides of a triangle and the line segment divides the two sides in the same ratio, then the line segment will be parallel to the third side of the triangle.

Now, $\frac{DP}{PE} = \frac{3.9}{3} = 1.3$ and $\frac{DQ}{QF} = \frac{3.6}{2.4} = 1.5$

Therefore, $\frac{DP}{PE} \neq \frac{DQ}{QF}$ and hence, PQ is not parallel to EF. (Answer)