Q3 of 62 Page 180

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

PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9cm.

Given: E and F are points on the sides PQ and PR respectively, of a PQR. PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9cm

Required: To verify if EF||QR


Consider the ΔPQR


Here, and


We can clearly see that


∴ Converse Thales theorem is satisfied and EF||QR.


∴ Yes, EF is parallel to QR(EF||QR)


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