Playing with Lines (Orientations of a line) — NCERT Solutions
CBSE · Class 2 · Mathematics
NCERT Solutions for Playing with Lines (Orientations of a line), CBSE Class 2 Mathematics: 12 textbook questions solved step by step.
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What is Straight? (Orientations of a Line)
1A thread is held tight between two hands (horizontal/sleeping position). Is it straight?Show solution
Given: A thread held tight between two hands in a horizontal (sleeping) position.
Concept: When a thread is pulled tight (taut) it does not bend or curve — it forms a straight line.
Answer: Yes, it is straight. A tightly held horizontal thread forms a Sleeping/Horizontal straight line.
2A thread is held in a slanting position. Is it straight?Show solution
Given: A thread held taut at a slant (diagonal) between two hands.
Concept: The thread is still pulled tight, so it does not bend.
Answer: Yes, it is straight. A taut slanting thread forms a Slanting straight line.
Note: Standing, sleeping, and slanting lines are all straight lines.
3The hands are brought closer so the thread sags and curves. Is it straight?Show solution
Given: Hands are brought closer together, so the thread goes loose and bends.
Concept: When a thread is not pulled tight it bends and forms a curve.
Answer: No, it is NOT straight. The sagging thread forms a Curved line.
4A thread is held tight between two hands in a vertical (standing/upright) position. Is it straight?Show solution
Given: A thread held taut in a vertical (standing) position.
Concept: A taut thread in any orientation — vertical, horizontal, or slanting — forms a straight line.
Answer: Yes, it is straight. A tightly held vertical thread forms a Standing/Vertical straight line.
Let us Do — Trace the Lines
1Trace the missing vertical, horizontal, slanting and curved lines in the picture given below. (Refer to the picture in the textbook.)Show solution
Given: A picture with some lines already drawn and some lines missing.
Steps to complete the activity:
- Vertical lines — Stand upright like a pole (up–down direction). Trace all missing vertical lines carefully from top to bottom.
- Horizontal lines — Lie flat like the horizon (left–right direction). Trace all missing horizontal lines carefully from left to right.
- Slanting lines — Lean to one side (diagonal direction). Trace all missing slanting lines carefully along the diagonal direction.
- Curved lines — Bend like a rainbow or a wave. Trace all missing curved lines carefully following the curve.
Final Answer: After tracing, the picture will be complete with all four types of lines — vertical, horizontal, slanting, and curved.
Let us Play with Dots
AMake new shapes with straight lines (vertical, horizontal and slanting) using the dot grid provided.Show solution
Given: A grid of dots.
Concept: Straight lines can be drawn in three orientations — vertical (up–down), horizontal (left–right), and slanting (diagonal).
Steps:
- Join two dots that are directly above and below each other → this makes a Vertical line.
- Join two dots that are directly beside each other (left–right) → this makes a Horizontal line.
- Join two dots that are diagonally placed → this makes a Slanting line.
- Combine these lines to form shapes such as squares, rectangles, triangles, zigzag patterns, stars, etc.
Example shapes you can make:
- A square: 4 horizontal and vertical lines joined at corners.
- A triangle: 2 slanting lines and 1 horizontal line.
- A zigzag: alternating slanting lines.
Final Answer: Using vertical, horizontal, and slanting lines on the dot grid, various new shapes can be created. (Draw your own creative shapes on the dot grid in your textbook.)
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Let us Do — Drawing Designs with Lines
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Project Work — Fun with Folding
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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