Question

In the given figure a|| b|| c and l and m are two transversals. If PQ= QR, is ON=NS ? Why?

Answer 1

Step-by-step explanation:

Let join AR and it intersects BQ at X.

In ΔACR, BX || CR. By BPT, we have

AB/BC=AX/XR … (1)

In ΔAPR, XQ || AP. By BPT, we have

PQ/QR=AX/XR … (2)

From (1) and (2),

AB/BC=PQ/QR

– Hence Proved