Figures with Both Line Symmetry and Rotational Symmetry

Q. What is the order of rotational symmetry of a square?

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

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

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

Q.

Name the center rotation of square?

Q. Question 2 (iv)
Draw, wherever possible, a rough sketch of:
iv) A quadrilateral with line symmetry but not a rotational symmetry of order more than 1?

Q. Question 3
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Q. Question 5
Name the quadrilateral which has both line and rotational symmetry of order more than 1.

Q.

Question 67
State whether the statement is True or False.
An equilateral triangle has six lines of symmetry.

Q.

If a quadrilateral has two or more lines of symmetry, it will have rotational symmetry of order more than ___ .

Q.

Find the order of rotational symmetry for the figure given below.

___

Q. Which of the following type of triangle has both line symmetry and rotational symmetry?

1. Scalene triangle
2. Right angled triangle
3. Equilateral triangle
4. Isosceles triangle

Q.

Name the quadrilateral which has both line and rotational symmetry of order more than 2.

1. Square

2. Isosceles triangle

3. Kite

4. Trapezium

Q. Which of the following shape has both line symmetry and rotational symmetry.

1. Square
2. Scalene triangle
3. Circle
4. Trapezium

Q. Choose the shapes that have both line and rotational symmetry:

1. Equilateral Triangle
2. Square
3. Circle
4. Scalene triangle

Q. How many lines of symmetry does a square have?

1. 0
2. 2
3. 4
4. 8

Q.

Question 122
Which of the figures given below have both line and rotational symmetry?

Q.

Question 103
In each of the following figures, write the number of lines of symmetry and order of rotational symmetry.

[Hint Consider these as 2 - D figures not as 3 - D objects]

Q.

Question 32
Fill in the blank to make the statement true.
___ is a figure that has neither a line of symmetry nor a rotational symmetry.

Q. Equilateral triangle has both line symmetry and rotational symmetry.

1. False
2. True

Q. Which of the following quadrilaterals have both line and rotational symmetry of order more than 1?

1. Square
2. Rectangle
3. Trapezium
4. Rhombus

Q.

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

1. Hexagon

2. Rectangle

3. Triangle

4. Square

Q. Which of the following object possess Rotational symmetry as well as Line symmetry ?

1. 
2. 
3. 
4. 

Q. Give an example of a geometrical figure which has neither a line of symmetry nor a rotational symmetry.

Q. What is the least number of square that must be added so that the line MN becomes a line of symmetry?

Q. An equilateral triangle has both line and rotational symmetry.

1. True
2. False

Q.

How many lines of symmetry does the following figure have?

___

Q.

The alphabet "H" has rotational symmetry of order

1. 3

2. 4

3. 1

4. 2

Q. What is the order of rotational symmetry of kite.

Q. Cut the bold type English alphabets (capital) and paste in your note book. Draw possible number of lines of symmetry for each of the letter.
Which of them have rotational symmetry?

Q. Draw, whenever possible, a rough sketch of
(i) a triangle with both line and rotational symmetries.
(ii) a triangle with only line symmetry and no rotational symmetry.
(iii) a quadrilateral with a rotational symmetry but not a line of symmetry.
(iv) a quadrilateral with line symmetry but not a rotational symmetry.

Q. The order of rotational symmetry of an equilateral triangle is/are:

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