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Page 1
Symmetry
Points to remember
? A line that divides a figure into two congruent parts is called the line (axis) of
symmetry. There may be one, more than one or no line of symmetry in a figure.
? The angle by which a figure is rotated to get same position is called angle of
rotation.
? One complete rotation is 360°.
? Figures having no line of symmetry can still have rotational symmetry.
? The number of times the shape coincides with the original shape while rotating
it till complete rotation is called its order of rotational symmetry.
? Every object has at least a rotational symmetry of order 1.
Questions:
1. How many lines of symmetry are there in an equilateral triangle?
2. How many lines of symmetry does the following figure have?
3. Name the fixed point about which an object can rotate?
4. What is the order of rotational symmetry?
Page 2
Symmetry
Points to remember
? A line that divides a figure into two congruent parts is called the line (axis) of
symmetry. There may be one, more than one or no line of symmetry in a figure.
? The angle by which a figure is rotated to get same position is called angle of
rotation.
? One complete rotation is 360°.
? Figures having no line of symmetry can still have rotational symmetry.
? The number of times the shape coincides with the original shape while rotating
it till complete rotation is called its order of rotational symmetry.
? Every object has at least a rotational symmetry of order 1.
Questions:
1. How many lines of symmetry are there in an equilateral triangle?
2. How many lines of symmetry does the following figure have?
3. Name the fixed point about which an object can rotate?
4. What is the order of rotational symmetry?
5. What is the order of symmetry of a butterfly?
6. Angle of rotation of a figure is 60°. Find the number of lines of
symmetry.
7. What is the order of rotational symmetry for the given figure?
8. List all the single digit numbers which have both vertical and horizontal
line of symmetry?
9. What is the maximum number of lines of symmetry in a regular
polygon with (n-1) sides?
10. Find the number of lines of symmetry in the given figure and also find
the order of rotational symmetry?
11. Name the centre of rotation for a circle.
12. In the given figure, find the
Page 3
Symmetry
Points to remember
? A line that divides a figure into two congruent parts is called the line (axis) of
symmetry. There may be one, more than one or no line of symmetry in a figure.
? The angle by which a figure is rotated to get same position is called angle of
rotation.
? One complete rotation is 360°.
? Figures having no line of symmetry can still have rotational symmetry.
? The number of times the shape coincides with the original shape while rotating
it till complete rotation is called its order of rotational symmetry.
? Every object has at least a rotational symmetry of order 1.
Questions:
1. How many lines of symmetry are there in an equilateral triangle?
2. How many lines of symmetry does the following figure have?
3. Name the fixed point about which an object can rotate?
4. What is the order of rotational symmetry?
5. What is the order of symmetry of a butterfly?
6. Angle of rotation of a figure is 60°. Find the number of lines of
symmetry.
7. What is the order of rotational symmetry for the given figure?
8. List all the single digit numbers which have both vertical and horizontal
line of symmetry?
9. What is the maximum number of lines of symmetry in a regular
polygon with (n-1) sides?
10. Find the number of lines of symmetry in the given figure and also find
the order of rotational symmetry?
11. Name the centre of rotation for a circle.
12. In the given figure, find the
a) Order of rotational symmetry.
b) Degree measure of the angle of rotation.
13. Find the number of lines of symmetry in the given figure:
14. Find the number of lines of symmetry in the given figure:
15. In the plane figure, find the order of rotational symmetry and the
number of lines of symmetry.
16. Which plane figure can have an angle of any measurement as the angle
of rotation?
Page 4
Symmetry
Points to remember
? A line that divides a figure into two congruent parts is called the line (axis) of
symmetry. There may be one, more than one or no line of symmetry in a figure.
? The angle by which a figure is rotated to get same position is called angle of
rotation.
? One complete rotation is 360°.
? Figures having no line of symmetry can still have rotational symmetry.
? The number of times the shape coincides with the original shape while rotating
it till complete rotation is called its order of rotational symmetry.
? Every object has at least a rotational symmetry of order 1.
Questions:
1. How many lines of symmetry are there in an equilateral triangle?
2. How many lines of symmetry does the following figure have?
3. Name the fixed point about which an object can rotate?
4. What is the order of rotational symmetry?
5. What is the order of symmetry of a butterfly?
6. Angle of rotation of a figure is 60°. Find the number of lines of
symmetry.
7. What is the order of rotational symmetry for the given figure?
8. List all the single digit numbers which have both vertical and horizontal
line of symmetry?
9. What is the maximum number of lines of symmetry in a regular
polygon with (n-1) sides?
10. Find the number of lines of symmetry in the given figure and also find
the order of rotational symmetry?
11. Name the centre of rotation for a circle.
12. In the given figure, find the
a) Order of rotational symmetry.
b) Degree measure of the angle of rotation.
13. Find the number of lines of symmetry in the given figure:
14. Find the number of lines of symmetry in the given figure:
15. In the plane figure, find the order of rotational symmetry and the
number of lines of symmetry.
16. Which plane figure can have an angle of any measurement as the angle
of rotation?
17. What is the relation between order of rotational symmetry and angle of
rotation?
18. How many lines of symmetry are there in the given figure?
19. If the angle of rotation of a figure is 22°, then what is the number of lines
of symmetry?
20. If the angle of rotation of a figure is 45°, then what is the number of
lines of symmetry?
21. Find the order of rotational symmetry and angle of rotational
symmetry.
22. What is the order of rotation for a line segment?
23. In the given figure, find the
a) Order of rotational symmetry.
b) Degree of measure of the angle of rotation.
Page 5
Symmetry
Points to remember
? A line that divides a figure into two congruent parts is called the line (axis) of
symmetry. There may be one, more than one or no line of symmetry in a figure.
? The angle by which a figure is rotated to get same position is called angle of
rotation.
? One complete rotation is 360°.
? Figures having no line of symmetry can still have rotational symmetry.
? The number of times the shape coincides with the original shape while rotating
it till complete rotation is called its order of rotational symmetry.
? Every object has at least a rotational symmetry of order 1.
Questions:
1. How many lines of symmetry are there in an equilateral triangle?
2. How many lines of symmetry does the following figure have?
3. Name the fixed point about which an object can rotate?
4. What is the order of rotational symmetry?
5. What is the order of symmetry of a butterfly?
6. Angle of rotation of a figure is 60°. Find the number of lines of
symmetry.
7. What is the order of rotational symmetry for the given figure?
8. List all the single digit numbers which have both vertical and horizontal
line of symmetry?
9. What is the maximum number of lines of symmetry in a regular
polygon with (n-1) sides?
10. Find the number of lines of symmetry in the given figure and also find
the order of rotational symmetry?
11. Name the centre of rotation for a circle.
12. In the given figure, find the
a) Order of rotational symmetry.
b) Degree measure of the angle of rotation.
13. Find the number of lines of symmetry in the given figure:
14. Find the number of lines of symmetry in the given figure:
15. In the plane figure, find the order of rotational symmetry and the
number of lines of symmetry.
16. Which plane figure can have an angle of any measurement as the angle
of rotation?
17. What is the relation between order of rotational symmetry and angle of
rotation?
18. How many lines of symmetry are there in the given figure?
19. If the angle of rotation of a figure is 22°, then what is the number of lines
of symmetry?
20. If the angle of rotation of a figure is 45°, then what is the number of
lines of symmetry?
21. Find the order of rotational symmetry and angle of rotational
symmetry.
22. What is the order of rotation for a line segment?
23. In the given figure, find the
a) Order of rotational symmetry.
b) Degree of measure of the angle of rotation.
24. What is the order of rotational symmetry?
25. The alphabets X, H, O have reflection symmetry about both vertical and
horizontal mirror, name one another such alphabet.
26. Find the number of lines of symmetry in the given figure.
27. What is the order of rotational symmetry of a star fish?
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