Question

In the adjoining figure, name:
(i) four pairs of intersecting lines
(ii) four collinear points
(iii) three noncollinear points
(iv) three concurrent lines
(v) three lines whose point of intersection is P
Figure

Answer 1

(i)
$$\begin{gathered} \overleftrightarrow{PS}and\overleftrightarrow{AB}intersectingatS. \\ \overleftrightarrow{CD}and\overleftrightarrow{RS}intersectingatR. \\ \overleftrightarrow{PS}and\overleftrightarrow{CD}intersectingatP. \\ \overleftrightarrow{AB}and\overleftrightarrow{RS}intersectingatS. \end{gathered}$$

(ii) A, Q, S and B are four collinear points as they all lie on the same line $\overleftrightarrow{AB}$.

(iii) A, C and B are non-collinear points as they do not lie on the same line.

(iv)

$\overleftrightarrow{PS},\overleftrightarrow{RS}and\overleftrightarrow{AB}arethreeconcurrentlinespas\sin gthroughthesamepointS$.

(v)

$\overleftrightarrow{PS},\overleftrightarrow{PQ}and\overleftrightarrow{CD}havecommonpointofintersectionP$.