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Published on: 31/10/2025
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1.
Copy the figure with punched holes and find the axes of symmetry for the following:

2.
Copy the figure with punched holes and find the axes of symmetry for the following:

3.
Given the line(s) of symmetry, find the other hole(s).

4.
Name any two figures that have both line symmetry and rotational symmetry.
5.
Name the quadrilateral which have both line and rotational symmetry of order more than 1.
6.
After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
7.
How many lines of symmetry are there in a regular pentagon?
8.
If a figure has two or more lines of symmetry, should it have rotational symmetry?
9.
What other names can be given to the line of symmetry of:
(a) An isosceles triangle?
(b) A circle?
10.
State about the rotational symmetry of a square.
11.
Does an isosceles triangle has a line of symmetry.If any, show it.
12.
Identify the following figures:
13.
After rotating by 60°about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
14.
Illustrate the rotation of an equilateral triangle and find its order of rotational order.
15.
Find the order of the rotational symmetry of a square.
1.
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

2.
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

3.
With respect to the given line(s) of symmetry, the other hole(s) are marked in the figures given below:

4.
Two figures that have both line symmetry and rotational symmetry are an equilateral triangle and a circle.
5.
The name of quadrilateral having both line of symmetry and rotational symmetry of order more than 1 is square.
It has 4 lines of symmetry and rotational symmetry of order 4.

6.
After rotating by 60° about a centre, a figure looks exactly the same as its original position. This will also happen for the figure at angles 120°, 180°,240°,300° and 360°, respectively.
7.
5
8.
When a figure has two or more lines of symmetry, then the figure should have a rotational symmetry of order more than 1 e.g., square.
9.
(a) Median of an isosceles triangle.
(b) Diameter of a circle
10.
A square has a rotational symmetry of order 4 about its centre, In this case:
(a) The centre of rotation is the centre of the square.
(b) The angle of rotation is 90°.
(c) The direction of rotation is clock wise.
(d) The order is 4.
11.
Isosceles triangle has only one line of symmetry
12.
(a) Rectangular Pyramid
(b) Triangular Prism
13.
After rotating by 60° about a centre, a figure looks exactly the same as its original position. This will also happen for the figure at angles 120°,180°,240°, 300°,360°respectively
14.

Since, each of the above three positions fits into the original.
∴ It has a rotational symmetry of order 3.
15.
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.
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