Question

7. In the adjacent figure, A, B and C are points on OP, OQ
and OR respectively such that AB || PQ and AC||PR.
Show that BC || QR.​

Answer 1

THE GIVEN EXAMPLE SOLVED it

prove that BC||QR

Answer 2

Answer:-

★ Given:-

→ In ΔOPQ, AB || PQ

By using Basic Proportionality Theorem,

OA/AP = OB/BQ → (i)

★ Also, given:-

→ In ΔOPR, AC || PR

By using Basic Proportionality Theorem

Therefore, OA/AP = OC/CR → (ii)

From equation (i) and (ii), we get,

OB/BQ = OC/CR

Therefore, by converse of Basic Proportionality Theorem, we got.

In ΔOQR, BC || QR.

Hence, proved!