Order of Rotational Symmetry

Q. What is the order of symmetry for the regular hexagon?

1. 6
2. 2
3. 8
4. 4

Q. What is the order of rotational symmetry of this octagon?

1. 4

Q. Identify the shape that has 2 lines of symmetry, as well as the order of rotational symmetry, is 2.

1. 
2. 
3. 
4. 

Q.

What is the order of rotational symmetry of an equilateral triangle? [2 MARKS]

Q. If the fan has 6 blades, then what is the angle of symmetry of blades in degrees?

1. 60

Q.

If the order of rotational symmetry of the first image is ‘A’ and the second image is ‘B’. Find the value of A + B.

___

Q. You are told that $1331$ is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube root of $4913,12167,32768$.

Q. The number of positions in which an object looks exactly the same as the original during a full turn is called the ___.

1. angle of rotational symmetry
2. order of rotational symmetry
3. order of line symmetry
4. angle of rotational symmetry

Q.

(a) If a fan has a rotational symmetry of order 4, how many blades are there in the fan?
(b) Name the quadrilateral which has both line and rotational symmetry of order more than 1. [2 MARKS]

Q.

A square has an angle of rotation of ______.

1. 90^o

2. 50^o

3. 60^o

4. 180^o

Q. What is the order of the symmetry of the given figure about its centre?

1. $1$
2. $3$
3. $0$
4. $2$

Q. cannot be the angle of rotational symmetry of a regular polygon.

1. ${40}^{\circ }$
2. ${72}^{\circ }$
3. ${180}^{\circ }$
4. ${120}^{\circ }$

Q.

All objects have rotational symmetry of order 1.

1. True

2. False

Q. Which of the following operation symbols have rotational symmetry?
+, -, x, ÷

1. +
2. x
3. -
4. All of the above.

Q.

If the order of rotational symmetry of the first image is ‘A’ and the second image is ‘B’, then the value of A + B is .

1. 1
2. 2
3. 3

Q.

What letters of the English alphabet have reflection symmetry about a horizontal mirror?

Q. Let $A(a,b)$ be a fixed point and $O$ be the origin of coordinates. If $A_1$ is the mid-point of $OA$, $A_2$ is the mid-point of $O{A}_1$ and so on. Then the coordinates of $A_n$ are:

1. $\left(a(1-2^{-(n-1)}),b(1-2^{-(n-1)}\right)$
2. $(\frac{a}{2^n},\frac{b}{2^n})$
3. $\left(a(2^{-n}-1),b(2^{-n}-1)\right)$
4. $\left(a(1-2^{-n}),b(1-2^{-n})\right)$

Q. If '$g$' and '$m$' represent the numbers of times a square and a quadrilateral resume their initial positions while rotating, then find the value of $g\times m$.

1. 1
2. 2
3. 0
4. 3

Q.

Find the order of rotational symmetry in the given image.

1. 6

2. 8

3. 0

4. 10

Q. The order of rotational symmetry of the given image is ___ .

1. 8
2. 3
3. 2
4. 4

Q. What is the order of symmetry for a circle?

1. 1
2. Infinite
3. 0
4. 4

Q.

Fill in the blanks:

Shape Centre of Rotation Order of Rotation Angle of Rotation

Circle _________ __________ __________

Q.

How many angles of rotation a regular polygon will have if it has ‘n’ sides?

1. $n$

2. $n-1$

3. $n+1$

4. $\frac{n}{2}$

Q.

Which of the following cannot be the angle of rotational symmetry of a regular polygon?

1. ${72}^{\circ }$

2. ${40}^{\circ }$

3. ${180}^{\circ }$

4. ${120}^{\circ }$

Q. The order of rotational symmetry of a parallelogram about its centre is:

1. $2$
2. $3$
3. $4$
4. $1$

Q. Order of rotational symmetry is the number of times an object looks exactly the same in a complete turn of _________

1. ${360}^{\circ }$
2. ${180}^{\circ }$
3. ${90}^{\circ }$
4. ${60}^{\circ }$

Q.

What letters of the English alphabet have reflection symmetry about a vertical mirror?