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NCERT Solutions

Shadow Story (Togalu) (2D Shapes)

CBSE · Class 2 · Mathematics

NCERT Solutions for Shadow Story (Togalu) (2D Shapes) — CBSE Class 2 Mathematics.

44 questions24 flashcards5 concepts

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37 Questions Solved · 12 Sections

Let us Talk

AHave you seen your own shadow or the shadow of a tree, a dog, a cow or any other animal?Show solution
Yes! We can see the shadow of our own body, a tree, a dog, a cow, and many other animals and objects around us. A shadow is formed when an object blocks light.
BWhen do we see a shadow?Show solution
We see a shadow when there is a source of light (like the Sun or a torch) and an object comes in the path of that light. The object blocks the light and a dark shape — called a shadow — is formed behind it.
CWhen does a shadow vanish?Show solution
A shadow vanishes when there is no light, i.e., in complete darkness, or when the object is removed from the path of light. For example, at night without any light source, we cannot see shadows.

Fun with Shadows

AWill the size of shadows change on changing the position of the torch?Show solution
Yes, the size of the shadow changes when we change the position of the torch.
- When the torch is held very close to the object, the shadow becomes bigger (larger).
- When the torch is moved farther away from the object, the shadow becomes smaller.
- The angle of the torch also changes the shape and length of the shadow.
BAt what time of the day is your shadow longest?Show solution
Our shadow is longest in the early morning (just after sunrise) and in the late evening (just before sunset). This is because the Sun is at a low angle in the sky at these times, so the shadow stretches out very long.
CAt what time of the day is your shadow shortest?Show solution
Our shadow is shortest at noon (around 12 o'clock in the afternoon). This is because the Sun is directly overhead at noon, so the shadow falls almost directly below us and appears very short.

Let us Trace

ATrace the shape of the objects around you. For example, eraser, leaf, matchbox, sharpener, pencil colour, etc.Show solution
Activity: Place the object flat on a paper. Hold it firmly with one hand and use a pencil to trace around its outline with the other hand. Lift the object to see the traced shape.
- Eraser → Rectangle
- Leaf → Oval / Leaf shape
- Matchbox → Rectangle
- Coin → Circle
- Pencil colour (end) → Circle
BDraw the shapes you get after tracing.Show solution
Activity: After tracing the objects, the shapes obtained are:
- Eraser → Rectangle \square
- Coin / Bottle cap → Circle \bigcirc
- Matchbox → Rectangle \square
- Leaf → Oval / irregular curved shape
- Triangular piece → Triangle \triangle

Draw these shapes in the space provided in your book.

Let us Think

AWrite the names of objects that have the same trace as a Bottle cap.Show solution
A bottle cap gives a circular trace. Objects that have the same circular trace include:
1. Coin
2. Bangle
3. Round clock
4. CD / DVD
5. Button

All these objects, when traced, give a circle \bigcirc.
BWrite the names of objects that have the same trace as an Eraser.Show solution
An eraser (rectangular eraser) gives a rectangular trace. Objects that have the same rectangular trace include:
1. Matchbox
2. Book / Notebook
3. Postcard
4. Brick
5. Mobile phone

All these objects, when traced, give a rectangle \square.

Hide and Seek — They all are playing together now

ACircle can hide in the clock, ball, ______, ______.Show solution
A circle is a round shape with no corners and no straight edges. Objects that are circular (round) in shape include:
- Clock ✓ (already given)
- Ball ✓ (already given)
- Coin
- Bangle

So, Circle can hide in the clock, ball, coin, bangle.
BRectangle can hide in the shoe box, photo frame, ______, ______.Show solution
A rectangle has 4 sides and 4 corners with opposite sides equal. Objects that are rectangular in shape include:
- Shoe box ✓ (already given)
- Photo frame ✓ (already given)
- Book / Notebook
- Door

So, Rectangle can hide in the shoe box, photo frame, book, door.
C-iTriangle can hide in ______, ______.Show solution
A triangle has 3 sides and 3 corners. Objects that are triangular in shape include:
- A slice of pizza
- A set square (ruler)
- A triangular flag / bunting
- A piece of samosa

So, Triangle can hide in a set square and a triangular flag.
C-iiSquare can hide in ______, ______.Show solution
A square has 4 equal sides and 4 corners. Objects that are square in shape include:
- Handkerchief
- Chessboard
- Bread slice
- Carrom board

So, Square can hide in a handkerchief and a chessboard.

Colour the Carpet

1Colour the Triangles red, Circles green, Rectangles yellow, and Squares blue in the carpet pattern.Show solution
Activity Instructions:
- Look at the carpet design carefully.
- Identify all triangles (3 sides, 3 corners) → colour them red.
- Identify all circles (round, no corners) → colour them green.
- Identify all rectangles (4 sides, opposite sides equal) → colour them yellow.
- Identify all squares (4 equal sides) → colour them blue.

Complete the colouring in your book accordingly.
2Make your own design with different shapes and colour them.Show solution
Activity:
1. Draw a design using circles \bigcirc, triangles \triangle, squares \square, and rectangles \square on the blank space provided.
2. You can arrange them in a repeating pattern, e.g., circle–triangle–square–rectangle–circle…
3. Colour each shape with your favourite colours.

This is a creative activity — there is no single correct answer. Be creative and have fun!

Catch the Corner! — Look at the picture and answer the following questions

AName the children standing near the corners of the table.Show solution
Given: Children are running around a rectangular table. A rectangular table has 4 corners.

Based on the picture description, the children standing at the corners of the table are the ones who are safe. (Since the image is not fully visible, the expected answer based on the activity is:)

The children standing near the corners of the table are safe and will not be out. Their names are those shown at the four corner positions in the picture — for example, Naveen's friends who managed to reach a corner when the clapping stopped.
BCan you tell who will clap next?Show solution
The child who is not at a corner when the clapping stops will be out, and that child will clap next.

Based on the picture, the child who is standing in the middle of a side (not at a corner) will be out and will clap next. (Refer to the picture in your book to identify the name of that child — it is the child standing along the edge, not at a corner.)
CWhere is Wasim standing?Show solution
Based on the picture in the book, Wasim is standing in the middle of one side of the table (not at a corner). This means Wasim is the one who will be out and will clap next.
DCan this game be played around a round table? Why or why not?Show solution
No, this game cannot be played around a round table.

Reason: A round (circular) table has no corners at all. The game is called 'Catch the Corner' and the rule is that players must stand at a corner to be safe. Since a round table has no corners, no one can be safe or out — the game cannot be played.
EName the objects around us that have straight edges.Show solution
Objects around us that have straight edges include:
1. Book / Notebook
2. Ruler
3. Table
4. Door
5. Window
6. Blackboard / Whiteboard
7. Matchbox
8. Brick

All these objects have sides that are straight lines.
FMany objects around us have curved edges. Explore and share the names of such objects that you see around.Show solution
Objects around us that have curved edges include:
1. Ball
2. Coin
3. Bangle
4. Plate
5. Clock (round)
6. Wheel
7. Orange / Apple
8. Egg

All these objects have edges or boundaries that are curved (not straight).

Let us Think — Corners and Edges

AHow many corners do objects with curved edges have?Show solution
Objects with curved edges (like a circle or a ball) have 0 (zero) corners.

A corner is formed where two straight edges meet. Since curved-edge objects have no straight edges meeting at a point, they have no corners.

Number of corners=0\text{Number of corners} = 0
BName the objects that have both straight and curved edges.Show solution
Some objects have both straight and curved edges. Examples include:
1. Semi-circle — one straight edge and one curved edge
2. A door with a curved top (arch) — straight sides and curved top
3. A protractor — one straight edge and one curved edge
4. A leaf — curved edges with a straight midrib

These shapes/objects combine both types of edges.

Origami Fun!

BThe square paper has ___ corners and ___ edges.Show solution
A square has:
- 4 corners (the four points where edges meet)
- 4 edges (the four straight sides)

Corners=4,Edges=4\text{Corners} = 4, \quad \text{Edges} = 4
DFold the square in half by joining two corners. Tick the shape which you get: (i) Square (ii) Rectangle (iii) TriangleShow solution
Correct answer: (iii) Triangle \triangle

Explanation: When we fold a square piece of paper in half by joining two opposite corners (diagonally), we get a triangle. The fold creates a diagonal, dividing the square into two equal triangles.
EThis shape (triangle) has ___ corners and ___ edges.Show solution
A triangle has:
- 3 corners
- 3 edges (3 straight sides)

Corners=3,Edges=3\text{Corners} = 3, \quad \text{Edges} = 3
HAfter making two triangles from two corners of the triangle, how many corners are there now?Show solution
When we fold the two corners of the triangle inward to make two smaller triangles (the dog's ears), the resulting shape still has corners. The folded shape (dog's head) has 3 corners visible at the top (the two ear-tips and the bottom point).

Number of corners=3\text{Number of corners} = 3
ExtraCan you fold the square sheet in such a way so as to get a shape with 4 sides? How many corners does it have now?Show solution
Yes! When we fold a square sheet in half (by bringing one edge to meet the opposite edge), we get a rectangle — a shape with 4 sides.

A rectangle has 4 corners.

Number of sides=4,Number of corners=4\text{Number of sides} = 4, \quad \text{Number of corners} = 4

Extend the following patterns

AExtend the pattern: ↑↓↑↓ ___Show solution
Pattern rule: The arrows alternate between Up (↑) and Down (↓).

\uparrow \downarrow \uparrow \downarrow \uparrow \downarrow \uparrow \downarrow \uparrow \downarrow

The pattern continues as: ↑↓↑↓↑↓↑↓↑↓
GExtend the pattern: AB, BC, CD, ___Show solution
Pattern rule: Each pair moves one letter forward in the alphabet.
AB, BC, CD, DE, EF, FGAB, \ BC, \ CD, \ DE, \ EF, \ FG

The next terms are: DE, EF, FG
HExtend the pattern: AA, B♯, C♭, D♯, E♯, ___Show solution
Pattern rule: The letters increase by one each time (A, B, C, D, E, F…).

The pattern continues with the next letters of the alphabet: F, G, H…

(This is a creative/musical pattern activity — extend by continuing the alphabetical sequence.)

Kikku Rabbit — Number Patterns

1Kikku rabbit jumps on the 4th tile. Help him by drawing a circle on the next tiles. 1, 4, ___, ___, ___, ___, ___Show solution
Given: Kikku starts at tile 1 and jumps to tile 4.

Pattern rule: Each jump adds 41=34 - 1 = 3, so Kikku jumps 3 tiles each time.

1, 4, 7, 10, 13, 16, 191, \ 4, \ 7, \ 10, \ 13, \ 16, \ 19

The missing numbers are: 7, 10, 13, 16, 19
2Kikku's mother jumps on the 6th tile. Help her by putting a mark on the next tiles. 1, 6, 11, ___, ___, ___, ___, ___Show solution
Given: Kikku's mother starts at tile 1, then jumps to 6, then 11.

Pattern rule: Each jump adds 61=56 - 1 = 5, so she jumps 5 tiles each time.

1, 6, 11, 16, 21, 26, 31, 361, \ 6, \ 11, \ 16, \ 21, \ 26, \ 31, \ 36

The missing numbers are: 16, 21, 26, 31, 36

Let us Do — Extend the following number patterns

A5, 10, 15, ___, ___, ___, ___, ___Show solution
Pattern rule: Each number increases by 55.

5, 10, 15, 20, 25, 30, 35, 405, \ 10, \ 15, \ 20, \ 25, \ 30, \ 35, \ 40

The missing numbers are: 20, 25, 30, 35, 40
B7, 14, 21, ___, ___, ___, ___, ___Show solution
Pattern rule: Each number increases by 77.

7, 14, 21, 28, 35, 42, 49, 567, \ 14, \ 21, \ 28, \ 35, \ 42, \ 49, \ 56

The missing numbers are: 28, 35, 42, 49, 56
C1, 7, 13, ___, ___, ___, ___, ___Show solution
Pattern rule: Each number increases by 71=67 - 1 = 6.

1, 7, 13, 19, 25, 31, 37, 431, \ 7, \ 13, \ 19, \ 25, \ 31, \ 37, \ 43

The missing numbers are: 19, 25, 31, 37, 43

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Frequently Asked Questions

What are the important topics in Shadow Story (Togalu) (2D Shapes) for CBSE Class 2 Mathematics?
Shadow Story (Togalu) (2D Shapes) covers several key topics that are frequently asked in CBSE Class 2 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Shadow Story (Togalu) (2D Shapes) — CBSE Class 2 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
Where can I get free NCERT Solutions for Shadow Story (Togalu) (2D Shapes) Class 2 Mathematics?
This page has free step-by-step NCERT Solutions for every exercise question in Shadow Story (Togalu) (2D Shapes) (CBSE Class 2 Mathematics) — written the way examiners award marks: given, formula, working, answer.

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