Question

. P and Q are the points on the sides DE and DF respectively of ∆DEF such that
DP = 5 cm, DE = 15 cm, DQ = 6 cm and QF = 18 cm. IS PQ || EF?​

Answer 1

Answer:

No , PQ is not parallel to EF

Step-by-step explanation:

PE = DE - DP

PE = 15 - 5

PE = 5

= DP/PE

5/10

= DQ / QF

6/18

As , 5/10 Not equal to 6/18

Using converse of Thales theoram, PQ not parallel to EF

Answer 2

Answer:

PQ = DE - DP

= 15 cm - 5 cm

= 10 cm

DP / PE = 5 / 10

= 1 / 2

DQ / QF = 6 / 18

= 1 / 3

DP / PE not equal to DQ / QF

.°. PQ is not parallel to EF.