NCERT solutions for Mathematics [English] Class 7 chapter 12 - Symmetry [Latest edition]

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Copy the figure with punched holes and find the axes of symmetry for the following:

Given the line of symmetry, find the other hole:

Given the line of symmetry, find the other hole:

Given the line of symmetry, find the other hole:

Given the line of symmetry, find the other hole:

Given the line of symmetry, find the other hole:

In the given figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete given figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

In the given figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete given figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

In the given figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete given figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

In the given figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete given figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

In the given figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete given figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

In the given figure, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete given figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure:

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

(a)	(b)	(c)

Identify multiple lines of symmetry, if any, in the following figure.

Copy the figure given here.

Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?

Copy the diagram and complete the given shape to be symmetric about the mirror line(s):

Copy the diagram and complete the given shape to be symmetric about the mirror line(s):

Copy the diagram and complete the given shape to be symmetric about the mirror line(s):

State the number of lines of symmetry for an equilateral triangle figure.

State the number of lines of symmetry for an isosceles triangle figure.

State the number of lines of symmetry for a scalene triangle figure.

State the number of lines of symmetry for a square figure.

State the number of lines of symmetry for a rectangle figure.

State the number of lines of symmetry for a rhombus figure.

State the number of lines of symmetry for a parallelogram figure.

State the number of lines of symmetry for a quadrilateral figure.

State the number of lines of symmetry for a regular hexagon figure.

State the number of lines of symmetry for a circle figure.

What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about a vertical mirror.

What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about a horizontal mirror.

What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about both horizontal and vertical mirrors.

Give three examples of shapes with no line of symmetry.

What other name can you give to the line of symmetry of an isosceles triangle?

What other name can you give to the line of symmetry of a circle?

The following figure have rotational symmetry of order more than 1:

The following figure have rotational symmetry of order more than 1:

The following figure have rotational symmetry of order more than 1:

The following figure have rotational symmetry of order more than 1:

The following figure have rotational symmetry of order more than 1.

The following figure have rotational symmetry of order more than 1:

Give the order of rotational symmetry for given figure:

Give the order of rotational symmetry for given figure:

Give the order of rotational symmetry for given figure:

Give the order of rotational symmetry for figure:

Give the order of rotational symmetry for given figure:

Give the order of rotational symmetry for given figure:

Give the order of rotational symmetry for given figure:

Give the order of rotational symmetry for given figure:

Name any two figures that have both line symmetry and rotational symmetry.

Draw, wherever possible, a rough sketch of a triangle with both line and rotational symmetries of order more than 1.

Draw, wherever possible, a rough sketch of a triangle with only line symmetry and no rotational symmetry of order more than 1.

Draw, wherever possible, a rough sketch of a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.

Draw, wherever possible, a rough sketch of a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Fill in the blanks:

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Can we have a rotational symmetry of order more than 1 whose angle of rotation is 45°?

Can we have a rotational symmetry of order more than 1 whose angle of rotation is 17°?