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Q1. An object looks exactly similar to the original object if it is rotated by some angle. This type of symmetry is called ______ symmetry.

• line
• Rotational
• Angle
• Mirror

Solution

Rotational

Q2. Which of the following figure has only one line of symmetry?

• Circle
• Square
• Equilateral Triangle
• Isosceles Trapezium

Solution

Isosceles trapezium has only one line of symmetry.

Q3. A line which divides a figure into two identical parts is known as ________ of symmetry.

• Axis
• Ray
• Angle
• Order

Solution

Axis of symmetry

Q4. The alphabet "H" has rotational symmetry of order    

• 4
• 3
• 2
• 1

Solution

Hence, order of rotation is 2.

Q5. English alphabet "E" has ______ line of symmetry.

• 1
• 2
• 3
• 4

Solution

Thus, 1 line of symmetry.

Q6. Alphabet 'A' has __________ line of symmetry.

• Vertical
• Horizontal
• Diagonal
• Curved

Solution

Hence, vertical line of symmetry.

Q7. A regular pentagon has

• 5 lines of symmetry
• 6 lines of symmetry
• 7 lines of symmetry
• 4 lines of symmetry

Solution

Number of sides of a polygon is equal to its lines of Symmetry. So, pentagon has 5 lines of symmetry.

Q8. English alphabet "Z" has  rotational symmetry of order ______.

• 2
• 1
• 4
• 3

Solution

  Hence, order of rotation is 2.

Q9. A square has an angle of rotation of ______.

• 50^o
• 180^o
• 90^o
• 60^o

Solution

For regular polygon,

Q10. A regular hexagon has ______ center of rotation.

• 1
• 2
• 3
• 4

Solution

1

Q11. The order of rotational symmetry of wall clock is

• 1
• 2
• 3
• 4

Solution

As the wall clock has no symmetry, the order of rotational symmetry is 1.

Q12. A polygon having rotational symmetry of order more than 1 cannot have angle of rotation equal to

• 36^o
• 90^o
• 120^o
• 125^o

Solution

For a regular polygon, number of rotational symmetry exactly divides 360⁰. Since 360⁰ is not divisible by 125⁰, hence the answer.

Q13. Which of the following figure has 7 lines of symmetry?

• Regular hexagon
• Regular octagon
• Regular heptagon
• Regular triangle

Solution

Number of lines of symmetry of a regular polygon is equal to its number of sides. Since, regular heptagon has 7 sides, it has 7 lines of symmetry.  

Q14. If a figure is rotated by 180^o the figure looks exactly same then it has rotational symmetry of order ______ .

• 4
• 3
• 2
• 1

Solution

2

Q15. Which of the following letter has only rotational symmetry i.e. there is no line symmetry?

• Z
• S
• N
• A

Solution

The only letter among the given option is S which can be rotated at an angle of 180⁰, to hold the symmetry.

Q16. What is the total number of lines of symmetry for the letter L?

• 0
• 1
• 2
• 3

Solution

The letter L has no line of symmetry.

Q17. A regular polygon is rotated about an angle of 60⁰, the new object is symmetric about the original figure. The original figure could be

• Hexagon
• Triangle
• Square
• Rectangle

Solution

Number of sides = = 6 Hence, Hexagon.

Q18. For a circle, the order of rotation is 

• 0
• 1
• 2
• Infinite

Solution

The order of rotation for circle is infinite.

Q19. If a figure is rotated around its centre point through an angle less than ______ and the figure still appears unchanged then the figure has a rotational symmetry.

• 270^o
• 180^o
• 160^o
• 360^o

Solution

360^o

Q20. A regular ______ is symmetric when rotated by an angle of rotation of 45^o.

• Triangle
• Septagon
• Octagon
• Hexagon

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