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CBSE 7th Standard Mathematics Symmetry Important Questions And Answers Study Material - QB365 Set B

Published on: 31/10/2025

Question Set B

CBSE 7th Standard Mathematics Symmetry Important Questions And Answers Study Material - QB365

Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics

Questions + Answers key

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Std: 7th Standard CBSE - Mathematics

chapter: Symmetry - Important Questions And Answers

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Questions:

Generic 2

3 x 2 = 6

What other names can be given to the line of symmetry of:
(a) An isosceles triangle?
(b) A circle?

In the following figures, the mirror line (i.e. the line of symmetry) is given as a dotted line. Complete each 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?

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

Generic 3

4 x 3 = 12

State the number of lines of symmmetry in rectangle.

Draw all the symmetry lines for the following figures.

Draw all lines of symmetry for each of the following figures as given below.

State the number of lines of symmetry for the following figures.
(a) An equilateral triangle
(b) An isosceles triangle
(c) A scalene triangle
(d) A square
(e) A rectangle
(f) A rhombus
(g) A parallelogram
(h) A quadrilateral
(i) A regular hexagon
(j) A circle

Fill up / 1 Marks

5 x 1 = 5

An equilateral triangle has a rotational symmetry of order___________

A full-turn means a rotation of_______ degrees

10.

A square has a rotational symmetry of order_________

11.

An angle having equal arms is symmetrical about the bisector of ________ [either arm/the angle]

12.

Shape	Centre of rotation	Order of rotation	Angle of rotation
Equilateral triangle

Multiple Choice Question

5 x 1 = 5

13.

How many lines of symmetry are there in an equilateral triangle?

(a)

(b)

(c)

(d)

14.

A ceiling fan with three blades is seen from directly under it. The order of rotational symmetry is:

(a)

(b)

(c)

(d)

15.

A circle has:

(a)

no line of symmetry

(b)

Four lines of symmetry

(c)

Two lines of symmetry

(d)

An unlimited number of lines of symmetry

16.

In the word 'MATHS', which of the following pairs of letters shows rotational symmetry?

(a)

M and T

(b)

H and S

(c)

A and S

(d)

T and S

17.

The angle of rotation in equilateral triangle is

(a)

60°

(b)

70°

(c)

90°

(d)

120°

True or False

5 x 1 = 5

18.

A parallelogram has two lines of symmetry.

(a)

True

(b)

False

19.

An isosceles trapezium has one line of symmetry.

(a)

False

(b)

True

20.

A regular hexagon has six lines of symmetry.

(a)

False

(b)

True

21.

An angle has two lines of symmetry.

(a)

True

(b)

False

22.

A circle has two lines of symmetry.

(a)

True

(b)

False

Generic 5

1 x 5 = 5

23.

Draw the line of symmetry of the given figure below and also determine the order of rotational symmetry.

1 Marks

2 x 1 = 2

24.

Does a semi-circle has a rotational symmetry? What is its line of symmetry?

25.

If the angle of rotation is 180°, then what is the order of rotational symmetry?

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Answers Key:

Generic 2

3 x 2 = 6

(a) Median of an isosceles triangle.
(b) Diameter of a circle

On completing all of the figures about their lines of symmetry which are given as a dotted line, we get the following figures:

Yes,we are able to recall the name of the complete figure and name of the each figure is written under figures.

On copying the figure with punched holes, the axis of symmetry corresponding to the punched holes are shown by dotted lines in the figures given below

Generic 3

4 x 3 = 12

Number of lines of symmetry for the given figures arc as follows:

Figure	lines of symmetry
(a) An equilateral triangle	3
(b) An isosceles triangle	1
(c) A scalene triangle	0
(d) A square	4
(e) A rectangle	2
(f) A rhombus	2
(g) A parallelogram (not a special type of parallelogram e.g. square, rectangle, rhombus, etc)	0
(h) A quadrilateral (not a special type of quadrilateral e.q. square, rectangle, rhombus,etc.)	0
(i) A regular hexagon	6
(j) A circle	Infinite

Fill up / 1 Marks

5 x 1 = 5

()
3

()
360

10.

()
four

11.

()
the angle

12.

()
A figure is said to have rotational symmetry, if it fits on to itself more than once during a full turn i.e. rotation through 360°.
The complete table is shown below:

Shape Centre of rotation Order of rotation Angle of rotation

Equilateral triangle Point of intersection of diagonals 6 120°