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 $
"

Given:  Lines AB, CD, PQ, RS, PS

To find:

 (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 \( P \)

Solution:

(i) Intersecting lines are the lines that meet each other at some point.

1. AB &QP
2. CD & QP
3. AB &RS
4. CD & RS

(ii) Collinear points are points that lie on the same line

• P, R, Q & S

(iii) Noncollinear points are points that do not lie on the same line

• C, D, A & B

(iv) Concurrent lines meet at the same point

• AQ & AB
• SB & AB
• CP & CD
• RD & CD

(v) QP , CD & PS intersect at P

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Updated on: 10-Oct-2022

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