Pairs of Lines (āϏ⧰āϞ⧰ā§āĻāĻžā§° āϝā§ā§°) // Parallel Lines (āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻž)
1. Intersecting Lines (āĻā§āĻĻāύāĻāĻžā§°ā§ āϏ⧰āϞ⧰ā§āĻāĻž)
Two lines that meet at a common point are called intersecting lines.
āĻāĻā§ āĻŦāĻŋāύā§āĻĻā§āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšā§ā§ąāĻž āĻĻā§āĻāĻž āϏ⧰āϞ⧰ā§āĻāĻžāĻ āĻā§āĻĻāύāĻāĻžā§°ā§ āϏ⧰āϞ⧰ā§āĻāĻž (Intersecting Lines) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
The point P is called the point of intersection.
P āĻŦāĻŋāύā§āĻĻā§āĻā§āĻ āĻā§āĻĻāύāĻŦāĻŋāύā§āĻĻā§ (Point of Intersection) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
2. Parallel Lines (āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻž)
Two lines that never meet, even when extended indefinitely, are called parallel lines. The distance between them is always constant.
āϝāĻŋ āĻĻā§āĻāĻž āϏ⧰āϞ⧰ā§āĻāĻžāĻ āĻ
āϏā§āĻŽāϞ⧠āĻŦā§āĻĻā§āϧāĻŋ āĻā§°āĻŋāϞā§āĻ āĻā§āϤāĻŋāϝāĻŧāĻžāĻ āĻŽāĻŋāϞāĻŋāϤ āύāĻšāϝāĻŧ, āϏā§āĻāĻŦā§ā§°āĻ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻž (Parallel Lines) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤ āϏāĻŋāĻšāĻāϤ⧰ āĻŽāĻžāĻā§° āĻĻā§ā§°āϤā§āĻŦ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻĨāĻžāĻā§āĨ¤
We write (p âĨ q) (read as: line p is parallel to line q).
āĻāϝāĻŧāĻžāĻ (p âĨ q) āϞāĻŋāĻāĻž āĻšāϝāĻŧ (āĻĒāĻĸāĻŧāĻž āĻšāϝāĻŧ: p āϏ⧰āϞ⧰ā§āĻāĻž q āϏ⧰āϞ⧰ā§āĻāĻžā§° āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ)āĨ¤
Examples | āĻāĻĻāĻžāĻšā§°āĻŖ: Railway tracks (ā§°ā§āϞāĻĒāĻĨā§° ā§°ā§āϞāϞāĻžāĻāύ), Opposite edges of a ruler (āϏā§āĻā§āϞ⧰ āĻŦāĻŋāĻĒā§°ā§āϤ āĻāĻžāώ)āĨ¤
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MCQs: Pairs of Lines
1. Two lines that meet at a common point are called ______. / āĻāĻā§ āĻŦāĻŋāύā§āĻĻā§āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšā§ā§ąāĻž āĻĻā§āĻāĻž āϏ⧰āϞ⧰ā§āĻāĻžāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
(a) Parallel lines (b) Intersecting lines (c) Transversal (d) Rays
Ans: (b) Intersecting lines
2. The common point where two lines meet is called the ______. / āĻĻā§āĻāĻž āϏ⧰āϞ⧰ā§āĻāĻž āϝāĻŋ āĻŦāĻŋāύā§āĻĻā§āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧ, āϏā§āĻ āĻŦāĻŋāύā§āĻĻā§āĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
(a) Midpoint (b) Endpoint (c) Point of intersection (d) Vertex
Ans: (c) Point of intersection
3. Two lines that never meet, even when extended indefinitely, are called ______. / āĻ
āϏā§āĻŽāϞ⧠āĻŦā§āĻĻā§āϧāĻŋ āĻā§°āĻŋāϞā§āĻ āĻā§āϤāĻŋāϝāĻŧāĻžāĻ āĻŽāĻŋāϞāĻŋāϤ āύā§āĻšā§ā§ąāĻž āĻĻā§āĻāĻž āϏ⧰āϞ⧰ā§āĻāĻžāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
(a) Intersecting lines (b) Parallel lines (c) Transversal (d) Perpendicular lines
Ans: (b) Parallel lines
4. The distance between two parallel lines is always ______. / āĻĻā§āĻāĻž āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻžā§° āĻŽāĻžāĻā§° āĻĻā§ā§°āϤā§āĻŦ āϏāĻĻāĻžāϝāĻŧ ______āĨ¤
(a) Zero (b) Variable (c) Constant (d) Increasing
Ans: (c) Constant
5. Which symbol represents parallel lines ? / āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻžā§° āĻāĻŋāĻšā§āύ āĻā§āύāĻā§ ?
(a) ⊥ (b) = (c) âĨ (d) ×
Ans: (c) âĨ
6. Which of the following is an example of parallel lines ? / āϤāϞ⧰ āĻā§āύāĻā§ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻžā§° āĻāĻĻāĻžāĻšā§°āĻŖ ?
(a) Scissors (b) Railway tracks (c) Clock hands (d) Letter X
Ans: (b) Railway tracks
7. Opposite edges of a ruler are an example of ______. / āϏā§āĻā§āϞ⧰ āĻŦāĻŋāĻĒā§°ā§āϤ āĻāĻžāώāϏāĻŽā§āĻš ______-ā§° āĻāĻĻāĻžāĻšā§°āĻŖāĨ¤
(a) Intersecting lines (b) Parallel lines (c) Rays (d) Line segments
Ans: (b) Parallel lines
8. Intersecting lines have ______ common point(s). / āĻā§āĻĻāύāĻāĻžā§°ā§ āϏ⧰āϞ⧰ā§āĻāĻžā§° ______ āĻāĻž āϏāĻžāϧāĻžā§°āĻŖ āĻŦāĻŋāύā§āĻĻā§ āĻĨāĻžāĻā§āĨ¤
(a) No (b) One (c) Two (d) Infinite
Ans: (b) One