Question

Lines p, q and r are concurrent. Also, lines p, r and s are concurrent. Draw a figure and state whether lines p, q, r and s are concurrent or not.

Answer 1

We have:

Thus, lines p, q and r intersect at a common point O.
Also, lines p, r and s are concurrent.
Therefore, lines p, r and s intersect at a common point. But q and r intersect each other at O.
So, s, q and r intersect at O.
Hence, p, q, r and s are concurrent. Lines p, q, r and s intersect at O.