Question

E and F are points on the sides PQ and PR, respectively, of a ΔPQR. For the following case, state whether EF || QR.

PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

Answer 1

Given that PE = 3.9 cm,

EQ = 3 cm,

PF = 3.6 cm, 

FR = 2.4 cm

`("PE")/("EQ")=(3.9)/3`

`39/30 = 13/10`

`("PF")/("FR") = 3.6/2.4 `

`13/10 != 3.6/2.4 ` 

Hence, `("PE")/("EQ") != ("PF")/("FR")`

Therefore, EF is not parallel to QR.