Playing with Lines (Orientations of a line)
CBSE · Class 2 · Mathematics
NCERT Solutions for Playing with Lines (Orientations of a line) — CBSE Class 2 Mathematics.
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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
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
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
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
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
Steps to complete the activity:
1. Vertical lines — Stand upright like a pole (up–down direction). Trace all missing vertical lines carefully from top to bottom.
2. Horizontal lines — Lie flat like the horizon (left–right direction). Trace all missing horizontal lines carefully from left to right.
3. Slanting lines — Lean to one side (diagonal direction). Trace all missing slanting lines carefully along the diagonal direction.
4. 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
Concept: Straight lines can be drawn in three orientations — vertical (up–down), horizontal (left–right), and slanting (diagonal).
Steps:
1. Join two dots that are directly above and below each other → this makes a Vertical line.
2. Join two dots that are directly beside each other (left–right) → this makes a Horizontal line.
3. Join two dots that are diagonally placed → this makes a Slanting line.
4. 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.)
BDraw different figures with the help of curved lines, like clouds, rainbow, etc., using the dot grid provided.Show solution
Concept: Curved lines bend smoothly and are used to draw natural shapes like clouds, rainbows, waves, hills, etc.
Steps:
1. To draw a Cloud: Draw several small bumpy curved lines joined together in a fluffy shape.
2. To draw a Rainbow: Draw a large curved (arc-shaped) line from one side to the other, and add more curved lines parallel to it for different colours.
3. To draw Waves: Draw a series of gentle S-shaped or U-shaped curved lines side by side.
4. To draw a Sun: Draw a circle (closed curved line) and add small curved or straight lines around it as rays.
Final Answer: Using curved lines on the dot grid, figures like clouds, rainbows, waves, hills, and the sun can be drawn. (Draw your own creative curved figures in your textbook.)
Let us Do — Drawing Designs with Lines
AMake your own drawing using different types of lines. Draw a design with any TWO types of lines.Show solution
Types of lines available: Vertical, Horizontal, Slanting, Curved.
Example design using Horizontal and Slanting lines:
1. Draw several horizontal lines across the page to form layers.
2. Add slanting lines crossing over them to create a criss-cross or woven pattern.
Another example using Vertical and Curved lines:
1. Draw vertical lines like fence posts.
2. Add curved lines like vines or waves between the posts.
Final Answer: Choose any two types of lines and create your own design in the space given. Make sure both types of lines are clearly visible in your drawing.
BDraw a design with any THREE types of lines.Show solution
Example design using Vertical, Horizontal, and Curved lines:
1. Draw a grid using vertical and horizontal lines (like a window or net).
2. Add curved lines inside or around the grid to represent flowers, waves, or clouds.
Another example using Horizontal, Slanting, and Curved lines:
1. Draw horizontal lines as the ground/sea.
2. Add slanting lines as rain or mountains.
3. Add curved lines as clouds or rainbows above.
Final Answer: Choose any three types of lines and create your own design in the space given. Make sure all three types of lines are clearly visible in your drawing.
CDraw a design using ALL types of lines (vertical, horizontal, slanting, and curved).Show solution
Example design — A House Scene:
1. Vertical lines: Draw the walls of a house (two vertical lines on each side).
2. Horizontal lines: Draw the floor/ground and the top of the walls.
3. Slanting lines: Draw the slanting roof of the house.
4. Curved lines: Draw clouds in the sky, a sun, or a rainbow above the house.
Another example — A Nature Scene:
1. Vertical lines: Tree trunks, fence posts.
2. Horizontal lines: Ground, horizon.
3. Slanting lines: Rays of the sun, rain drops.
4. Curved lines: Clouds, hills, river, leaves.
Final Answer: Using all four types of lines — vertical, horizontal, slanting, and curved — create a complete scene or design in the space given. Each type of line must appear at least once in your drawing.
Project Work — Fun with Folding
AFold a paper with your friend and check who gets the maximum number of creases. Trace the straight lines with red crayon and slanting lines with blue crayon.Show solution
Concept: Each time a paper is folded, it creates a crease (a straight line). Folding in different directions creates vertical, horizontal, or slanting creases.
Steps:
1. Take a sheet of paper.
2. Fold it in half — this creates 1 crease (a straight line).
3. Fold it in half again — this creates more creases.
4. Keep folding as many times as possible.
5. Open the paper and observe all the crease lines.
6. Trace all straight (vertical/horizontal) creases with a RED crayon.
7. Trace all slanting (diagonal) creases with a BLUE crayon.
8. Count the total number of creases.
9. Compare with your friend to see who has more creases.
Final Answer: The more times you fold the paper, the more creases you get. Straight creases are traced in red and slanting creases in blue. The student who folds the paper more times will get the maximum number of creases.
BTry to make curved lines by paper folding.Show solution
Concept: Paper folding usually creates straight creases, but by folding the paper in a gentle arc or rolling it slightly, a curved crease can be formed.
Steps:
1. Take a sheet of paper.
2. Instead of folding it flat and straight, gently curve the paper into a slight arc shape.
3. Press along the curved fold to create a curved crease.
4. Open the paper and observe the curved line formed.
Alternatively:
1. Fold the paper diagonally multiple times in different directions — the overlapping folds can create an impression of curved lines.
Final Answer: By gently bending the paper in an arc before pressing the fold, a curved crease (curved line) can be made on the paper. This shows that curved lines can also be created through paper 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
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