NCERT Solutions for Class 4 Mathematics Chapter Fun With Symmetry

This worksheet introduces Class 4 Mathematics Chapter Fun With Symmetry in a simple and engaging way. It helps students understand symmetry through hands-on activities like folding paper, observing patterns, and using mirrors. The chapter is important because it builds basic geometry skills and improves observation and reasoning abilities. This worksheet provides complete and accurate NCERT Solutions that follow the exact structure and content of the chapter.

Chapter summary: stories, poems & themes

This chapter is fully activity-based and focuses on learning through doing. Students explore symmetry by creating ink designs, making paper airplanes, folding and cutting paper, and observing shapes and patterns. There are no stories or poems, but the learning happens through visual examples, hands-on tasks, and discussion-based activities. The main theme is understanding symmetry, identifying lines of symmetry, and applying this concept in real-life objects and designs.

What this NCERT chapter covers?

• Understanding symmetry through paper folding and ink designs  
• Identifying line of symmetry in shapes and patterns  
• Observing symmetrical and non-symmetrical objects  
• Learning through mirror activities and reflections  
• Exploring shapes and their lines of symmetry  
• Creating patterns using tiles without gaps or overlaps  
• Developing observation and reasoning skills through activities  

How to use these NCERT solutions?

Students should first try solving the questions on their own using observation and activities. After attempting, they can check the answers in this worksheet to understand the correct approach. Parents and teachers can guide children during activity-based tasks and discussions. The solutions follow the exact NCERT order and structure, making it easier for students to revise concepts and improve understanding step by step.

Student tips & learning tricks

• Always fold carefully to find the correct line of symmetry  
• Observe both halves of a shape before deciding if it is symmetrical  
• Use a mirror to check symmetry easily  
• Pay attention to whether both sides look exactly the same  
• Practice drawing the missing half carefully to make designs identical  

Why NCERT solutions are important?

NCERT Solutions help students learn concepts in a clear and structured way. They build strong foundational understanding of symmetry and geometry. These solutions follow NCERT guidelines, ensuring accuracy and reliability. Regular practice with these solutions improves confidence and helps students perform better in assessments.

Complete answer key – NCERT solutions

Let us do – ink design

1. Yes, it is a symmetrical pattern.  
2. You would draw the line along the fold in the middle of the design.  

Making a paper airplane

a 1 line of symmetry  
b 1 line of symmetry  
c Place the mirror along the vertical middle line  
Yes  
d Make and fly the paper plane.  
e No  
f Make a plane that is not the same on both sides.  
g Symmetrical plane flies longer  
h Discuss and share observations.  

Holes and cuts

Explanation: Fold paper and make cuts as shown, then open to observe the pattern.  

Challenge 1: Holes and cuts appear equally on all folded sides (symmetrical positions)  
Challenge 2: 8 sides  
Challenge 3: Cut at the folded centre corner; 1 cut.  

Complete the designs below

Explanation: Draw the missing half of each design by copying the given part to make both sides identical.  

Symmetry in shapes

1. Draw the border shapes on the dot grid.  

Symmetrical shapes: kite, envelope, arrow  

Games with a mirror

Digits with same mirror image: 0, 1, 8  

Examples of 4-digit numbers:  
1001, 1111, 1691, 1881, 8008  

Mirror placement: Vertical line in the middle  

Create similar number puzzles.  

Ambulance letters

They are written in reverse so that drivers can read them correctly in mirrors.  

Words and mirror activity

Mirror placement: Vertical mirror  

Complete the following to make symmetrical shapes

Explanation: Draw the missing parts to complete each shape symmetrically.  

Shapes and symmetry

Triangle – 3 sides  
Square – 4 sides  
Rectangle – 4 sides  
Rhombus – 4 sides  
Parallelogram – 4 sides  

Lines of symmetry  
Triangle – 1 line of symmetry  
Square – 4 lines of symmetry  
Rectangle – 2 lines of symmetry  
Rhombus – 2 lines of symmetry  
Parallelogram – 0 lines of symmetry  

Tiling the tiles

Explanation: Identify repeating tiles and continue the pattern without gaps or overlaps  

Symmetrical tiles: square, hexagon  

Triangles, squares, rectangles, hexagons  

Tiles activity

Shapes are made using the same pieces but arranged differently.  

Join shapes and create new tiles.  

Create floor patterns using tiles without gaps or overlaps.  

Nature walk activity

Collect leaves and flowers  
Sort into symmetrical and non-symmetrical  
Make designs and patterns  
Create greeting cards  
Make animal shapes using leaves  

Master symmetry concepts easily with these NCERT Solutions for Class 4 Mathematics Chapter Fun With Symmetry and build strong foundational skills for future learning.  
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