Question

Using a set square and a ruler, test whether l || m in each of the following cases:
(i) Figure
(ii) Figure

Answer 1

(i) Place the ruler so that one of its measuring edges lies along the line l. Hold it firmly with one hand. Now place a set square with one arm of the right angle coinciding with the edge of the ruler. Draw line segments between l and m (say PM, RS, AB) with the set square.

Now, we see that PM = AB = RS.
Thus, we can say that l $\parallel$m.



(ii) In this case, we see that when we draw line segments between l and m, they are unequal, i.e. $\mathrm{PM}\ne \mathrm{RS}$.
Therefore, l is not parallel to m.