Chapter 11 of 15
Chapter 11: Lines and Lines
Standing, Slanting, Sleeping and Curved Lines | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Identifying standing lines (vertical), slanting lines (diagonal), and sleeping lines (horizontal).
- Drawing lines using rulers, edge of notebooks, or freehand.
- Recognizing curved lines in nature, pottery, and dance postures.
- Constructing digital display clock numbers and letters using straight matchstick lines.
All Textbook Exercises & In-Text Tasks (19 Questions)
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Q1
Textbook Exercise • Three Types of Straight Lines
Name the three kinds of straight lines we study in Chapter 11.
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
1. Standing lines (vertical lines)
2. Sleeping lines (horizontal lines)
3. Slanting lines (diagonal / sloping lines).
1. Standing lines (vertical lines)
2. Sleeping lines (horizontal lines)
3. Slanting lines (diagonal / sloping lines).
CBSE Step-by-Step Marking Scheme
All 3 types named correctly
2 M
Q2
Textbook Exercise • Drawing Lines with Tools
In the NCERT lesson, Fatima draws lines with a ruler, Jashbir draws lines with the edge of his pencil box, and Raihana tries to draw lines freehand with her fingers. Whose lines will be the straightest?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• Fatima's lines (drawn with a straight ruler) and Jashbir's lines (drawn with a straight pencil box edge) will be perfectly straight.
• Freehand lines drawn without a straight edge tend to wobble.
• Fatima's lines (drawn with a straight ruler) and Jashbir's lines (drawn with a straight pencil box edge) will be perfectly straight.
• Freehand lines drawn without a straight edge tend to wobble.
CBSE Step-by-Step Marking Scheme
Fatima and Jashbir identified
1 M
Straight edge support explained
1 M
Q3
Textbook Exercise • Ekta's Curved Lines
Ekta says: 'My lines are not straight. They are curved!' How can you draw a curved line using a circular bowl or glass bangle?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• Place the circular bowl or bangle flat on paper.
• Trace along the round outer rim with your pencil.
• The resulting line will be a smooth curved line (or circle).
• Place the circular bowl or bangle flat on paper.
• Trace along the round outer rim with your pencil.
• The resulting line will be a smooth curved line (or circle).
CBSE Step-by-Step Marking Scheme
Tracing along rim described
1 M
Curved line result identified
1 M
Q4
Digital Numbers • Matchstick Display
Look at the numbers on a digital clock (like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Are these numbers made of straight lines or curved lines? How many straight lines make the number 7?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• In digital displays, all numbers are made entirely of straight lines (matchstick segments).
• The number 7 is made of 2 straight lines (1 sleeping line on top and 1 standing line going down).
• In digital displays, all numbers are made entirely of straight lines (matchstick segments).
• The number 7 is made of 2 straight lines (1 sleeping line on top and 1 standing line going down).
CBSE Step-by-Step Marking Scheme
Straight lines identified
1 M
2 lines for number 7 correct
1 M
Q5
Alphabet Analysis • Straight Line Letters
Which of the following English capital letters are made using ONLY straight lines? (A) H (B) O (C) T (D) S (E) E
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• H: 2 standing lines + 1 sleeping line (Straight).
• O: Curved line.
• T: 1 sleeping line + 1 standing line (Straight).
• S: Curved line.
• E: 1 standing line + 3 sleeping lines (Straight).
• Letters with only straight lines: H, T, and E.
• H: 2 standing lines + 1 sleeping line (Straight).
• O: Curved line.
• T: 1 sleeping line + 1 standing line (Straight).
• S: Curved line.
• E: 1 standing line + 3 sleeping lines (Straight).
• Letters with only straight lines: H, T, and E.
CBSE Step-by-Step Marking Scheme
H identified
1 M
T identified
1 M
E identified
1 M
Q6
Alphabet Analysis • Curved Line Letters
Name two English capital letters that have ONLY curved lines, and two that have BOTH straight and curved lines.
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
1. Only curved lines: C and O (or S).
2. Both straight and curved lines: D (1 standing straight line + 1 curve) and B (1 standing straight line + 2 curves) or P.
1. Only curved lines: C and O (or S).
2. Both straight and curved lines: D (1 standing straight line + 1 curve) and B (1 standing straight line + 2 curves) or P.
CBSE Step-by-Step Marking Scheme
Only curved: C, O
1 M
Both: D, B, P
1 M
Q7
Dance & Body Postures
In classical Indian dance (like Bharatanatyam or Odissi), how do dancers use straight and curved lines with their arms and legs?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• Dancers stretch their arms straight out horizontally (sleeping lines) or lift them upright (standing lines).
• They bend their wrists, mudras (fingers), and torso into graceful sweeping curved lines.
• Dancers stretch their arms straight out horizontally (sleeping lines) or lift them upright (standing lines).
• They bend their wrists, mudras (fingers), and torso into graceful sweeping curved lines.
CBSE Step-by-Step Marking Scheme
Arms / legs straight line postures described
1 M
Wrists / body curved line postures described
1 M
Q8
Traffic Police Officer Signals
When a traffic police officer directs cars at a road intersection, does he use straight arm lines or curved arm lines? Explain.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• A traffic police officer uses sharp, clear straight lines (extending an arm horizontally as a sleeping line to stop traffic or raising an arm vertically as a standing line).
• Clear straight gestures are easily seen by drivers from far away.
• A traffic police officer uses sharp, clear straight lines (extending an arm horizontally as a sleeping line to stop traffic or raising an arm vertically as a standing line).
• Clear straight gestures are easily seen by drivers from far away.
CBSE Step-by-Step Marking Scheme
Straight arm lines identified
1 M
Clear visibility reason explained
1 M
Q9
Letter 'A' Breakdown
How many lines are used to write capital letter 'A'? What types of lines are they?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Letter 'A' is made of 3 straight lines:
1. Two slanting lines (sloping inwards from bottom to top).
2. One sleeping line (across the middle).
• Letter 'A' is made of 3 straight lines:
1. Two slanting lines (sloping inwards from bottom to top).
2. One sleeping line (across the middle).
CBSE Step-by-Step Marking Scheme
3 lines count correct
1 M
Two slanting + one sleeping identified
1 M
Q10
Everyday Objects • Ladder
Look at a wooden ladder. What kind of lines form the two long sides? What kind of lines form the climbing rungs/steps?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• The two long sides are standing lines (or slanting lines when leaned against a wall).
• The climbing rungs/steps are sleeping lines (horizontal bars).
• The two long sides are standing lines (or slanting lines when leaned against a wall).
• The climbing rungs/steps are sleeping lines (horizontal bars).
CBSE Step-by-Step Marking Scheme
Sides: standing / slanting
1 M
Rungs: sleeping lines
1 M
Q11
Railway Track Lines
What kind of straight lines do the parallel steel rails of a straight railway track represent? What about the wooden/concrete sleepers beneath them?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• The long steel rails running forward represent standing (or parallel straight) lines.
• The cross-sleepers laid beneath them represent sleeping lines.
• The long steel rails running forward represent standing (or parallel straight) lines.
• The cross-sleepers laid beneath them represent sleeping lines.
CBSE Step-by-Step Marking Scheme
Rails: standing / straight lines
1 M
Sleepers: sleeping lines
1 M
Q12
Hands-on Matchstick Geometry
How many matchsticks are needed to make:
(a) A triangle
(b) A square
[2 Marks]
(a) A triangle
(b) A square
✅ Step-by-Step Solution & Working
Answers:
(a) A triangle has 3 sides = 3 matchsticks.
(b) A square has 4 equal sides = 4 matchsticks.
(a) A triangle has 3 sides = 3 matchsticks.
(b) A square has 4 equal sides = 4 matchsticks.
CBSE Step-by-Step Marking Scheme
(a) 3 matchsticks
1 M
(b) 4 matchsticks
1 M
Q13
Natural Curves • Rainbow
Is a rainbow made of straight lines or curved lines? How many colors does it have?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• A rainbow is made of great curved lines (arcs across the sky).
• It has 7 beautiful colors (VIBGYOR).
• A rainbow is made of great curved lines (arcs across the sky).
• It has 7 beautiful colors (VIBGYOR).
CBSE Step-by-Step Marking Scheme
Curved lines identified
1 M
7 colors stated
1 M
Q14
Line Orientation Challenge
Can a sleeping line become a standing line? How?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• Yes, by rotating the object or paper by 90 degrees (a quarter turn).
• For example, a pencil lying flat (sleeping) becomes a standing line when picked up and held vertically upright.
• Yes, by rotating the object or paper by 90 degrees (a quarter turn).
• For example, a pencil lying flat (sleeping) becomes a standing line when picked up and held vertically upright.
CBSE Step-by-Step Marking Scheme
Affirmative confirmation (Yes)
1 M
Rotation / holding upright explained
1 M
Q15
Drawing Exercise • Smiley Face
To draw a smiling face on paper, which type of line is used for the big round head? Which type for the smile?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• The round head is drawn using a closed curved line (circle).
• The smile is drawn using an upward-curving curved line.
• The round head is drawn using a closed curved line (circle).
• The smile is drawn using an upward-curving curved line.
CBSE Step-by-Step Marking Scheme
Head: closed curve / circle
1 M
Smile: upward curved line
1 M
Q16
True or False
State True or False:
(a) A ruler is used to draw curved lines.
(b) Letter 'M' is made using 4 straight lines.
[2 Marks]
(a) A ruler is used to draw curved lines.
(b) Letter 'M' is made using 4 straight lines.
✅ Step-by-Step Solution & Working
Answers:
(a) False. A ruler has straight edges and is used to draw straight lines, not curved lines.
(b) True. Letter 'M' consists of 2 standing lines and 2 slanting lines (4 straight lines).
(a) False. A ruler has straight edges and is used to draw straight lines, not curved lines.
(b) True. Letter 'M' consists of 2 standing lines and 2 slanting lines (4 straight lines).
CBSE Step-by-Step Marking Scheme
(a) False with reason
1 M
(b) True
1 M
Q17
Chapter Summary
Summarize the different types of lines and their appearance.
[2 Marks]
✅ Step-by-Step Solution & Working
Summary:
1. Standing line: Straight upright (|).
2. Sleeping line: Straight flat horizontal (—).
3. Slanting line: Straight sloping (/ or \).
4. Curved line: Smoothly rounded without corners (~ or arc).
1. Standing line: Straight upright (|).
2. Sleeping line: Straight flat horizontal (—).
3. Slanting line: Straight sloping (/ or \).
4. Curved line: Smoothly rounded without corners (~ or arc).
CBSE Step-by-Step Marking Scheme
All 4 types clearly defined and described
2 M
Q18
Quick Quiz Problem
How many straight lines are in capital letter 'X'?
[1 Marks]
✅ Step-by-Step Solution & Working
Answer:
• Letter 'X' has 2 slanting straight lines crossing each other in the middle.
• Letter 'X' has 2 slanting straight lines crossing each other in the middle.
CBSE Step-by-Step Marking Scheme
2 slanting lines correct
1 M
Q19
Textbook Activity • Straight and Curved Lines
Fatima drew a standing line, Jashbir drew a slanting line, and Rai drew a sleeping line. Draw symbols for each line and give one real-life example of a curved line.
[3 Marks]
✅ Step-by-Step Solution & Working
Answer:
• Standing line: Vertical (|) — e.g. Flagpole
• Slanting line: Diagonal (/) — e.g. Slide
• Sleeping line: Horizontal (—) — e.g. Bench
• Curved line: Arc (⌒) — e.g. Rainbow or rim of a plate.
• Standing line: Vertical (|) — e.g. Flagpole
• Slanting line: Diagonal (/) — e.g. Slide
• Sleeping line: Horizontal (—) — e.g. Bench
• Curved line: Arc (⌒) — e.g. Rainbow or rim of a plate.
CBSE Step-by-Step Marking Scheme
Three straight line orientations
1.5 M
Curved line example
1.5 M
🌟 NEP 2020 Competency-Based Case Study
Cricket Ground Stumps Investigation
Fatima, Jashbir, and Raihana brought their cricket wickets to the school playground. Fatima fixed her stump straight upright in the ground. Jashbir leaned his stump against the boundary wall at an angle. Raihana laid her stump flat on the grass.
Analytical Task: Which type of line is represented by Fatima's stump? Which by Jashbir's stump? Which by Raihana's stump? Can a cricket ball be drawn using straight lines?
Evaluation & Model Answer:
1. Fatima's stump: Standing line (vertical).
2. Jashbir's stump: Slanting line (diagonal).
3. Raihana's stump: Sleeping line (horizontal).
4. Cricket ball: No, a ball is round and must be drawn using a smooth curved line.
2. Jashbir's stump: Slanting line (diagonal).
3. Raihana's stump: Sleeping line (horizontal).
4. Cricket ball: No, a ball is round and must be drawn using a smooth curved line.
Rubric: 1 M for standing line + 1 M for slanting and sleeping lines + 1 M for curved line explanation for ball