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Published on: 31/10/2025
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Questions + Answers key
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1.
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?

2.
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?

3.
Copy the figure with punched holes and find the axes of symmetry for the following:

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.
Order of rotational symmetry of
is ______________
7.
Line of symmetry for an angle is its _____________
8.
_____________ is a figure that has neither a line of symmetry nor a rotational symmetry.
9.
Rotation turns an object about a fixed point. This fixed point is called _____________
10.
| Shape | Centre of rotation | Order of rotation | Angle of rotation |
|---|---|---|---|
| Rhombus |
11.
What other name can you give to the line of symmetry of a circle?
12.
What other name can you give to the line of symmetry of an isosceles triangle?
13.
Given the line of symmetry, find the other hole.

14.
Draw all lines of symmetry for each of the following figures as given below.

15.
State the order of rotation and angle of rotation of the following figure.

16.
State whether the figure shows rotational symmetry. If yes, then what is the order of rotational symmetry?

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 has a line of symmetry




20.
The angle of rotation in equilateral triangle is
60°
70°
90°
120°
21.
The order of rotational symmetry in the figure given below is

4
8
6
infinitely many
22.
The number of lines of symmetry in figure is

1
3
6
infinitely many
23.
The number of line of symmetry of a regular polyqon is equal to the vertices of the polygon.
24.
Order of rotational symmetry of a semi-circle is two.
25.
Order of rotational symmetry of a rhombus is four.
26.
An isosceles trapezium has one line of symmetry.
27.
An angle has two lines of symmetry.
1.
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.
2.
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.
3.
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

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.
( )
8
7.
( )
Bisector
8.
( )
Quadrilateral
9.
( )
Center of rotation
10.
( )
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° |
11.
Diameter
12.
Median
13.

14.

15.
The given figure is a hexagon, So, the order of rotation is 6 and angle of rotation of hexagon is \(\frac { 360 }{ 6 } =60°\)
16.
The given figure shows rotational symmetry. The order of symmetry is 4, which is clear from the following figure:

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.
(c)

20.
(d)
120°
21.
(c)
6
22.
(b)
3
23.
(a)
24.
(b)
25.
(b)
26.
(a)
27.
(b)
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