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Published on: 07/09/2019
Symmetry
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Questions + Answers key
Take MCQ Mathematics Test
1.
Give three examples of shapes with no line of symmetry.
2.
What letters of the English alphabet have reflectional symmetry (i.e. symmetry related to mirror reflection) about a both horizontal and vertical mirror?
3.
Copy the diagram and complete each shape to be symmetric about the mirror line(s).
4.
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.
5.
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?
6.
What other name can you give to the line of symmetry of a circle?
7.
What other name can you give to the line of symmetry of an isosceles triangle?
8.
Draw all the symmetry lines for the following figures.
9.
State the order of rotation and angle of rotation of the following figure.
10.
In the following figure, show both line of symmetry and rotational symmetry.
11.
Order of rotational symmetry of a circle is ____________
12.
Order of rotational symmetry of a rectangle is ____________
13.
___________ triangle is a figure that has a line of symmetry, but lacks rotational symmetry.
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.
Draw all the lines of symmetry for the following letters if they exist.
17.
In the following figure, show if possible both line and rotational symmetry.
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 are reflections of each other?
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 angle of rotation in equilateral triangle is
60°
70°
90°
120°
22.
The order of rotational symmetry in the figure given below is
4
8
6
infinitely many
23.
The angle of rotational symmetry of a figure is 4 and the angle of rotation is 180° only.
24.
The number of line of symmetry of a regular polyqon is equal to the vertices of the polygon.
25.
Order of rotational symmetry of a semi-circle is two.
26.
An equilateral triangle has six lines of symmetry
27.
Order of rotational symmetry of a rhombus is four.
1.
Three examples of shapes with no line of symmetry are
(i) a scalene triangle
(ii) a parallelogram
(iii) A Ietter G
2.
We know that, a shape has reflectional symmetry, if one half of it, is the mirror image of the other half. Letters of the English alphabet having reflectional symmetry about a horizontal mirror are both horizontal and vertical mirrors are H, I, O and X.
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.
The multiple lines of symmetry of each figure are shown below:
This figure has 3 lines of symmetry which are shown by dotted lines.
5.
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.
6.
Diameter
7.
Median
8.
9.
The given figure is a hexagon, So, the order of rotation is 6 and angle of rotation of hexagon is \(\frac { 360 }{ 6 } =60°\)
10.
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.
11.
( )
Infinite
12.
( )
2
13.
( )
Isosceles
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.
17.
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°
18.
(b)
O
19.
(a)
20.
(b)
H and S
21.
(d)
120°
22.
(c)
6
23.
(b)
24.
(a)
25.
(b)
26.
(b)
27.
(b)
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