NCERT solutions for Mathematics [English] Class 6 chapter 13 - Symmetry [Latest edition]

List any four symmetrical objects from your home or school.

For the given figure, which one is the mirror line, l₁ or l₂? 

Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well. 

Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well. 

Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well. 

Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well. 

Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well. 

Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well. 

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.

In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Find the number of lines of symmetry for the following shape:

Copy the triangle in the following figure on squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figure and try paper-folding first!)

Copy the triangle in the following figure on squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figure and try paper-folding first!)

Copy the triangle in the following figure on squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figure and try paper-folding first!)

Copy the triangle in the following figure on squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figure and try paper-folding first!)

Complete the following table. 

Can you draw a triangle which has exactly one line of symmetry? 

Can you draw a triangle which has exactly two lines of symmetry?

Can you draw a triangle which has exactly three lines of symmetry? 

Can you draw a triangle which has no lines of symmetry?

On a squared paper, sketch the following:

A triangle with a horizontal line of symmetry but no vertical line of symmetry.

On a squared paper, sketch the following:

A quadrilateral with both horizontal and vertical lines of symmetry.

On a squared paper, sketch the following:

A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

On a squared paper, sketch the following:

A hexagon with exactly two lines of symmetry.

On a squared paper, sketch the following:

A hexagon with six lines of symmetry.

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

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

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

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

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

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

Consider the letters of English alphabets, A to Z. List among them the letters which have vertical lines of symmetry (like A).

Consider the letters of English alphabets, A to Z. List among them the letters which have horizontal lines of symmetry (like B).

Consider the letters of English alphabets, A to Z. List among them the letters which have no lines of symmetry (like Q)

Given here are figures of a few folded sheets and designs drawn about the fold. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off. 

Find the number of lines of symmetry in the following shapes. How will you check your answers?

Find the number of lines of symmetry in the following shapes. How will you check your answers?

Find the number of lines of symmetry in the following shapes. How will you check your answers?

Find the number of lines of symmetry in the following shapes. How will you check your answers?

Find the number of lines of symmetry in the following shapes. How will you check your answers?

Find the number of lines of symmetry in the following shapes. How will you check your answers?

Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

In each figure alongside, a letter of the alphabet is shown along with a vertical line. Take the mirror image of the letter in the given line. Find which letters look the same after reflection (i.e. which letters look the same in the image) and which do not. Can you guess why?

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