Question 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?

Accepted Answer

(a) Yes, there are six lines of symmetry.(b) Yes, there is one line of symmetry.(c) Yes, there are four lines of symmetry.(d) There are no lines of symmetry in the picture of clouds.

Question 2

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

Accepted Answer

9.1 Line of Symmetry Figure it Out (Page 223 – 230)

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Figures, Line, Symmetry, Exists, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 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

Accepted Answer

Do it yourself.

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Here, Questions, Paper, Cutting, Consider, Vertical. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 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

Accepted Answer

Solution:Solution:Solution:Do it yourselfSolution:Do it yourself

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Cuts, Predict, Shape, Hole, Paper, Opened. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 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 center is a square.
(b) The hole in the center is a square.
Note: For the ab6ve question, check if the 4-sided figures in the center satisfy both the properties of a square.

Accepted Answer

(a) By folding the square sheet along length or breadth and cutting a square at the center, we can get a square.(b) To get the figure as shown, we fold the square diagonally and then cut the required shape in it.

Question 6

How many lines of symmetry do these shapes have?
(i)
(ii) A triangle with equal sides and equal angles.
(iii) A hexagon with equal sides and equal sides.

Accepted Answer

(i) A diamond has 4 lines of symmetry, and the figure next to it has 4 lines of symmetry.(ii) An equilateral triangle has three lines of symmetry.(iii) A regular hexagon has six lines of symmetry.

Question 7

Draw the following.
(a) A triangle with exactly one line of symmetry

Accepted Answer

An isosceles triangle has one line of symmetry(b) A triangle with exactly three lines of symmetrySolution:An equilateral triangle has one line of symmetry.(c) A triangle with no line of symmetryIs it possible to draw a triangle with exactly two lines of symmetry?Solution:A scalene triangle has no lines of symmetry.No, it is not possible to draw a triangle with exactly two lines of symmetry.

Question 8

Draw the following. In each case, the figure should contain at least one curved boundary.
(a) A figure with exactly one line of symmetry

Accepted Answer

(b) A figure with exactly two lines of symmetrySolution:(c) A figure with exactly four lines of symmetrySolution:

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Case, Figure, Contain, Least, Curved, Boundary. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 9

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

Accepted Answer

9.2 Rotational Symmetry Figure it Out (Page 235 – 236)

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Copy, Dot, Grid, Figure, Lines, Make. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Q18: Give the order of rotational symmetry for each figure:
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 10

Find the angle of symmetry for the given figures about the point marked.

Accepted Answer

(a) 90°(b) 360°(c) 180°

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Angle, Symmetry, Figures, Point, Marked, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q17: Which of the following figures have more than one angle of symmetry?
Q18: Give the order of rotational symmetry for each figure:
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 11

Which of the following figures have more than one angle of symmetry?

Accepted Answer

The given figure comes back to its original shape when we rotate it about 90°, 180°, 270° and 360°. Thus, the given figure has 4 angles of symmetry (90°, 180°, 270° and 360°).The figure comes back to its original shape only after 360° rotation. So, the figure has only one angle of symmetry i.e., 360°.The given figure comes back to its original shape when we rotate it about 120°, 240° and 360°. Thus, the given figure has 3 angles of symmetry (120°, 240° and 360°).The given figure comes back to its original shape when we rotate it about 90°, 180°, 270° and 360°. Thus, the given figure has 4 angles of symmetry (90°, 180°, 270° and 360°).The given figure comes back to its original shape when we rotate it about 90°, 180°, 270° and 360°. Thus, the given figure has 4 angles of symmetry (90°, 180°, 270° and 360°).The given figure comes back to its original shape when we rotate it about 72°, 144°, 216°, 288° and 360°. Thus, the given figure has 5 angles of symmetry (72°, 144°, 216°, 288° and 360°).The given figure comes back to its original shape when we rotate it about a complete turn, i.e., at 360°. Thus, the figure does not have

Question 12

Give the order of rotational symmetry for each figure:

Accepted Answer

9.2 Rotational Symmetry Figure it Out (Page 238)

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Order, Rotational, Symmetry, Figure, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 13

Color the sectors of the circle below so that the figure has
(a) 3 angles of sjjmmetry
(b) 4 angles of symmetry
(c) what are the possible numbers of angles of symmetry you can obtain by coloring the sectors in different ways?

Accepted Answer

(a) Will look same after every rotation of 120°.(b) Will look same after every rotation of 90°.(c) Four ways are possible.

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Color, Sectors, Circle, Figure, Angles, Sjjmmetry. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 14

In a figure, 60° is the smallest angle of symmetry. What are the other angles of symmetry of this figure?

Accepted Answer

It will also look the same by rotating at an angle of 120°, 180°, 240°, 300°, and 360° as these are the multiples of 60°.

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Figure, Smallest, Angle, Symmetry, Angles, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 15

In a figure, 60° is an angle of symmetry. The figure has two angles of symmetry less than 60°. What is its smallest angle of symmetry?

Accepted Answer

Smallest angle of symmetry = 60° ÷ 3 = 20°.

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Figure, Angle, Symmetry, Angles, Less, Smallest. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 16

Can we have a figure with rotational symmetry whose smallest angle of symmetry is
(a) 45 °?
(b) 17°?

Accepted Answer

(a) Since, the complete rotation is 360°. Then, if the given angle divides 360°, it can be an angle of symmetry.Here, $\frac{360^{\circ}}{45^{\circ}}$ = 8, which is a whole number.Therefore, 45° can be the smallest angle of symmetry of a figure.(b) Here, $\frac{360^{\circ}}{17^{\circ}}$ = 21 $\frac{3}{17}$, which is not a whole number.Therefore, 17° cannot be the smallest angle of symmetry.

Question 17

This is a picture of the new Parliament Building in Delhi.
(a) Does the outer boundary of the picture have reflection symmetry? If so, draw the lines of symmetries. How many are they?
(b) Does it have rotational symmetry around its centre?
If so, find the angles of rotational symmetry.

Accepted Answer

(a) Let us label the given figure and check whether its one side overlaps the other side when folded it about the dotted line drawn in the middle of the figure.We observes that one half covers exactly the other half. Thus, it has a reflection symmetry.Lines of symmetry:There are three lines of symmetry.(b) The given figure has rotational symmetry around its centre. When we rotate it about 120°, 240° and 360°, we get the original shape. Thus, the angles of rotational symmetry are 120°, 240° and 360°.

Question 18

How many lines of symmetry do the shapes in the first shape sequence in Chapter 1, Table 3, the Regular Polygons, have? What number sequence do you get?

Accepted Answer

Do Yourself

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Lines, Symmetry, Shapes, First, Shape, Sequence. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 19

How many angles of symmetry do the shapes in the fist shape sequence in Chapter 1, Table 3, the Regular Polygons, have? What number sequence do you get?

Accepted Answer

Number of angles of symmetry = number of lines of symmetry.Hence we get the number sequence: 3, 4, 5, 6, 7, ………..

Source: This question is from Symmetry, Mathematics &mdash; Class 6, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Symmetry: Angles, Symmetry, Shapes, Fist, Shape, Sequence. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from SymmetryQ1: Do you see any line of symmetry in the figures at the start of the chapter? What about in the...
Q11: Draw the following. (a) A triangle with exactly one line of symmetry
Q15: Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a...
Q16: Find the angle of symmetry for the given figures about the point marked.
Q17: Which of the following figures have more than one angle of symmetry?
Practice more questions from Symmetry &mdash; Mathematics, Class 6 CBSE

Question 20

How many lines of symmetry do the shapes in the first shape sequence in Chapter 1, Table 3, the Koch Snowflake sequence, have? What angle of symmetry?

Accepted Answer

The triangular shape has 3 lines of symmetry and 3 angles of symmetry.In six-pointed stars, lines of symmetry are 12 and the angle of symmetry is 6.The lines of symmetry and angle of symmetry for the rest three figures are the same as six-pointed stars.