NCERT Solutions for Class 6 Maths Chapter 9 - Symmetry Exercise 9.1

Exercise 9.1

Figure it Out

1. Do you see any line of symmetry in the figures at the start of the chapter? What about in the picture of the cloud?

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A flower exhibits 6 lines of symmetry. A butterfly has 1 line of symmetry. Rangoli patterns typically have 4 lines of symmetry. A pinwheel does not possess any lines of symmetry. A cloud's shape can vary, so it may or may not have a line of symmetry.

2. For each of the following figures, identify the line(s) of symmetry if it exists

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Figure is Out

Punching Game:

The fold is a line of symmetry. Punch holes at different locations of a folded square sheet of paper using a punching machine and create different symmetric patterns.

1. In each of the following figures, a hole was punched in a folded square sheet of paper and then the paper was unfolded. Identify the line along which the paper was folded. 

Figure (d) was created by punching a single hole. How was the paper folded?

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2. Given the line(s) of symmetry, find the other hole(s): 

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3. Here are some questions on paper cutting. Consider a vertical fold. We represent it this way: 

Similarly, a horizontal fold is represented as follows:

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4. After each of the following cuts, predict the shape of the hole when the paper is opened. After you have made your prediction, make the cutouts and verify your answer.

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5. Suppose you have to get each of these shapes with some folds and a single straight cut. How will you do it? 

a. The hole in the centre is a square.

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b. The hole in the centre is a square.

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Note: For the above two questions, check if the 4-sided figures in the centre satisfy both the properties of a square.

6. How many lines of symmetry do these shapes have?

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b. A triangle with equal sides and equal angles.

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c. A hexagon with equal sides and equal angles. 

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7. Trace each figure and draw the lines of symmetry, if any:

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8. Find the lines of symmetry for the kolam below.

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9. Draw the following. 

a. A triangle with exactly one line of symmetry. 

b. A triangle with exactly three lines of symmetry. 

c. A triangle with no line of symmetry.

Is it possible to draw a triangle with exactly two lines of symmetry? 

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No, it is not possible to create a triangle that has exactly two lines of symmetry.

10. Draw the following. In each case, the figure should contain at least one curved boundary. 

a. A figure with exactly one line of symmetry. 

b. A figure with exactly two lines of symmetry. 

c. A figure with exactly four lines of symmetry. 

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11. Copy the following on squared paper. Complete them so that the blue line is a line of symmetry. Problem (a) has been done for you.

Hint: For (c) and (f), see if rotating the book helps! 

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12. Copy the following drawing on squared paper. Complete each one of them so that the resulting figure has the two blue lines as lines of symmetry.

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13. Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a line of symmetry.

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Benefits of NCERT Solutions for Class 6 Maths Chapter 1 Exercise 9.1 Symmetry

• Clear Understanding of Symmetry: The solutions help students easily grasp the concept of symmetry and identify symmetrical patterns in different shapes.

• Step-by-Step Guidance: Each problem is solved step-by-step, making it easier for students to follow and learn how to approach similar problems.

• Aligned with CBSE Syllabus: The solutions are based on the CBSE Class 6 Maths syllabus, ensuring that all important topics related to symmetry are covered.

• Boosts Exam Preparation: These solutions provide ample practice for students to prepare thoroughly for their exams, focusing on key concepts.

• Convenient Learning: With the free PDF download available, students can access the solutions anytime, making it a flexible learning tool for quick revision and regular practice.

Class 6 Maths Chapter 9: Exercises Breakdown

Important Study Material Links for Class 6 Maths Chapter 9 - Symmetry

Conclusion

The NCERT Solutions for Class 6 Maths Chapter 9 Exercise 9.1 on Symmetry offer a comprehensive approach to understanding one of the fundamental concepts in geometry. These solutions provide clear, step-by-step explanations, making it easy for students to master symmetry and recognise symmetrical patterns in various figures. Aligned with the CBSE syllabus, the solutions not only aid in exam preparation but also strengthen problem-solving skills. With the added convenience of a free PDF download, students have an accessible resource for effective revision and practice.

Chapter-Specific NCERT Solutions for Class 6 Maths

The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

Related Important Links for Maths Class 6

Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.