In Fig. 6.21, A, B and C are points on OP, OQ andOR respectively such that AB || PQ and AC || PR.Show that BC || QR.

Question

Philoid · Accepted Answer

Given that in triangle POQ, AB parallel to PQ

Hence,

(Basic proportionality theorem)

Now,

Therefore,

Using Basic proportionality theorem, we get:

From above equations, we get

BC is parallel to QR (By the converse of Basic proportionality theorem)