Q3 of 62 Page 180

E and F are points on the sides PQ and PR respectively, of a Δ PQR. For each of the following cases, verify EF||QR.

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

Given: E and F are points on the sides PQ and PR respectively, of a PQR. PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

Required: To verify if EF||QR


Consider the ΔPQR


Here, and


We can clearly see that


∴ Converse Thales theorem is also not satisfied.


∴ No, EF is not parallel to QR


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