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Published on: 02/08/2018
Based on the current academic syllabus, some of the important questions are prepared from the chapter Symmetry.
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Questions + Answers key
Take MCQ Mathematics Test
1.
Find the line of symmetry in the given image 3I.
2.
Copy the diagram and complete each shape to be symmetric about the mirror line(s).
3.
Copy the diagram and complete each shape to be symmetric about the mirror line(s).
4.
Copy the figure with punched holes and find the axes of symmetry for the following:
5.
Copy the figure with punched holes and find the axes of symmetry for the following:
6.
Copy the figure with punched holes and find the axes of symmetry for the following:
7.
Copy the figure with punched holes and find the axes of symmetry for the following:
8.
Copy the figure with punched holes and find the axes of symmetry for the following:
9.
Copy the figure with punched holes and find the axes of symmetry for the following:
10.
Some of the English alphabets have fascinating symmetrical structures. Which capital letters have just one line of symmetry (like E)? Which capital letters have a rotational symmetry of order 2 (like I)? .By attempting to think on such lines, you will be able to fill in the following table.
| Alphabet letters | Line symmetry | Number of lines of symmetry | Rotational symmetry | Order of rotational symmetry |
|---|---|---|---|---|
| Z | No | 0 | Yes | 2 |
| S | ||||
| H | Yes | Yes | ||
| O | Yes | Yes | ||
| E | Yes | |||
| N | Yes | |||
| C |
11.
In the following figure, show both line of symmetry and rotational symmetry.
12.
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
13.
| Shape | Centre of rotation | Order of rotation | Angle of rotation |
|---|---|---|---|
| Circle |
14.
| Shape | Centre of rotation | Order of rotation | Angle of rotation |
|---|---|---|---|
| Regular hexagon |
15.
| Shape | Centre of rotation | Order of rotation | Angle of rotation |
|---|---|---|---|
| Rhombus |
16.
| Shape | Centre of rotation | Order of rotation | Angle of rotation |
|---|---|---|---|
| Rectangle |
17.
| Shape | Centre of rotation | Order of rotation | Angle of rotation |
|---|---|---|---|
| Square |
18.
Which of the following letters of English alphabets have more than 2 lines of symmetry?
Z
O
E
H
19.
Which of the following has a line of symmetry
20.
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
21.
The order of rotational symmetry in the figure given below is
4
2
1
infinitely many
22.
The order of rotational symmetry in the figure given below is
4
8
6
infinitely many
23.
In the following figure, the mirror line (i.e. line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted line. Are you able to recall the name of the figure you complete?
24.
Find the number of lines of symmetry and order of symmetry of the following figure.
1.
...3I...
2.
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:
3.
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:
4.
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
5.
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
6.
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
7.
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
8.
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
9.
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
10.
We know that, a figure has line of symmetry if there is a line about which the figure may be folded, so that the two parts of the figure will coincide and a figure has a rotational symmetry if after a rotation, the figure looks exactly the same. Then, the complete table is shown below:
| Alphabet letters | Line symmetry | Number of lines of symmetry | Rotational symmetry | Order of rotational symmetry |
|---|---|---|---|---|
| Z | No | 0 | Yes | 2 |
| S | No | 0 | Yes | 2 |
| H | Yes | 2 | Yes | 2 |
| O | Yes | 2 | Yes | 4 |
| E | Yes | 1 | Yes | 1 |
| N | No | 0 | Yes | 2 |
| C | Yes | 1 | Yes | 1 |
11.
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.
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 |
13.
( )
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 |
|---|---|---|---|
| Circle | Centre | Infinite | Any angle |
14.
( )
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 |
|---|---|---|---|
| Regular hexagon | Point of intersection of diagonals | 6 | 60° |
15.
( )
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 |
|---|---|---|---|
| Rhombus | Point of intersection of diagonals | 2 | 180° |
16.
( )
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 |
|---|---|---|---|
| Rectangle | Point of intersection of diagonals | 2 | 180° |
17.
( )
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 |
|---|---|---|---|
| Square | Point of intersection of diagonals | 4 | 90° |
18.
(b)
O
19.
(c)
20.
(b)
H and S
21.
(b)
2
22.
(c)
6
23.
Pentagon
24.
Line of symmetry = 2, Order of symmetry = 4
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