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Published on: 31/10/2025
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Questions + Answers key
Take MCQ Mathematics Test
1.
Find the order of the rotational symmetry of a square.
2.
What is rotational symmetry and what is the order of rotational symmetry?
3.
Each of the following letters from English alphabet has two lines of symmetry. Identify lines of symmetry in each case.
a) H (b)I (c)O
4.
Does every trapezium have a line of symmetry? If any, show it
5.
Determine the line of symmetry of the following figure, if any.
6.
Copy the diagram and complete each shape to be symmetric about the mirror line(s).
7.
The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.
Identify multiple lines of symmetry, if any, in each of the following figures.
8.
What other name can you give to the line of symmetry of a circle?
9.
State the number of lines of symmmetry in rectangle.
10.
Copy the following figure with punched holes and find the axes of symmetry for the following
11.
Draw all lines of symmetry for each of the following figure.
12.
In the following figure, show both line of symmetry and rotational symmetry.
13.
Draw the line of symmetry of the given figure below and also determine the order of rotational symmetry.
14.
Find the number of lines of symmetry and order of symmetry of the following figure.
15.
In the following figure, show if possible both line and rotational symmetry.
16.
The order of rotational symmetry of a square is:
1
2
3
4
17.
A regular pentagon has how many lines of symmetry?
3
4
5
6
18.
Which of the following letters of English alphabets have more than 2 lines of symmetry?
Z
O
E
H
19.
In the word 'MATHS', which of the following pairs of letters shows rotational symmetry?
M and T
H and S
A and S
T and S
20.
The angle of rotation in equilateral triangle is
60°
70°
90°
120°
21.
A full-turn means a rotation of_______ degrees
22.
A square has lines of symmetry. [four/two]
23.
Line of symmetry for an angle is its _____________
24.
_____________ is a figure that has neither a line of symmetry nor a rotational symmetry.
25.
Rotation turns an object about a fixed point. This fixed point is called _____________
26.
The order of rotational symmetry of a regular octagon:
27.
The order of rotational symmetry of an isosceles triangle.
28.
The point about which the figure is rotated:
29.
A complete turn means rotation by
30.
A quarter-turn means rotation by
31.
Can you show that the letters Z and X have rotational symmetry of order 2.
32.
What do we call the minimum angle through which it has to rotate to look exactly the same?
33.
How many lines of symmetry are there in a rectangle
1.
Let us consider a square ABCD.
Obviously, each of the above four times, the figure fits on-to-it self.
∴ It has a rotational symmetry of order 4.
2.
figure is said to have rotational symmetry, if it fits into itself more than once during a complete rotation. The number of times a figure fits onto itself in one complete rotation is called the order of rotational symmetry
3.
The dotted lines are lines of symmetry in each case:
4.
No, generally trapezium has no line of symmetry,
leaving isosceles trapezium.
In isosceles trapezium,
AD = BC So, there is one line of symmetry.
5.
Line of symmetry = 1
6.
Copying the diagram and then completing all the figures such that each shape is symmetric about the mirror line(s) or line of symmetry, we get the following figures:
7.
The multiple lines of symmetry of each figure are shown below:
This figure has 1 line of symmetry which is shown by dotted line.
8.
Diameter
9.
2
10.
11.
All lines of symmetry for the given figure will be
12.
We can show line of symmetry for given figure as
In the above figure, rotational angle will be 90°. So, rotational symmetry will take place as
Given figure will complete full rotation in 4 steps. So, its order of rotation will be 4.
13.
Line of symmetry = 4
Order of symmetry = 8 (angle of rotation = 45°)
14.
Line of symmetry = 2, Order of symmetry = 4
15.
In the given figure, line symmetry will be shown as
Also, rotational symmetry will be shown as
\(\frac { 360° }{ 8 } \)=45° , i.e. rotational angle is equal to 45°
16.
(d)
4
17.
(c)
5
18.
(b)
O
19.
(b)
H and S
20.
(d)
120°
21.
( )
360
22.
( )
four
23.
( )
Bisector
24.
( )
Quadrilateral
25.
( )
Center of rotation
26.
( )
8
27.
( )
1
28.
( )
Point of rotation
29.
( )
360°
30.
( )
90°
31.
( )
Yes
32.
( )
Angle of rotation
33.
( )
Two
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