Figures Centre of rotation Order of rotation Angle of rotations Square _____ _____ _____ Rectangle _____ _____ _____ Rhombus _____ _____ _____ Equilateral triangle _____ _____ _____ Regular hexagon _____ _____ _____ Circle _____ _____ _____ Semi-Circle _____ _____ _____

Centre of Rotation is a fixed point about which the object rotates. Order of Rotation is the number of rotational symmetries a shape can have and angle of rotation is the angle with which a shape has to be rotated to get the original shape. Figures Centre of rotation Order of rotation Angle of rotations Square Point of intersection of diagonals 4 90 ° Rectangle Point of intersection of diagonals 2 180 ° Rhombus Point of intersection of diagonals 2 180 ° Equilateral triangle Point of intersection of medians 3 120 ° Regular hexagon Point of intersection of diagonals 6 60 ° Circle Centre of the circle Infinite Every angle Semi-Circle Nil Nil Nil

English alphabet Letter Line Symmetry Number of Lines of Symmetry Rotational Symmetry Order of Rotational Symmetry Z Nil 0 Yes 2 S _____ _____ _____ _____ H Yes _____ Yes _____ O Yes _____ Yes _____ E Yes _____ _____ _____ N _____ _____ Yes _____ C _____ _____ _____ _____

Alphabets that can be folded along a line is said to have line symmetry and which can be rotated by an angle to get the same shape is said to have rotational symmetry. English alphabet Letter Line Symmetry Number of Lines of Symmetry Rotational Symmetry Order of rotational Symmetry Z No 0 Yes 2 S No 0 Yes 2 H Yes 2 Yes 2 O Yes 4 Yes 2 E Yes 1 No 0 N No 0 Yes 2 C Yes 1 No 0

E M B I B E

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 5

EASY

7th CBSE

IMPORTANT

Earn 100

Give an example of a letter of the English alphabet which has rotational symmetry of order $2$ .

Important Questions on Symmetry

EASY

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 6

What is the line of symmetry of a semi-circle? Does it have rotational symmetry?

MEDIUM

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 7

Draw, whenever possible, a rough sketch of a triangle with both line and rotational symmetries.

EASY

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 7

Draw, whenever possible, a rough sketch of a triangle with only line symmetry and no rotational symmetry.

MEDIUM

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 7

Draw, whenever possible, a rough sketch of a quadrilateral with rotational symmetry but not a line of symmetry.

EASY

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 7

Draw, whenever possible, a rough sketch of a quadrilateral with line symmetry but not rotational symmetry.

MEDIUM

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 8

Figures	Centre of rotation	Order of rotation	Angle of rotations
Square	_____	_____	_____
Rectangle	_____	_____	_____
Rhombus	_____	_____	_____
Equilateral triangle	_____	_____	_____
Regular hexagon	_____	_____	_____
Circle	_____	_____	_____
Semi-Circle	_____	_____	_____

MEDIUM

7th CBSE

IMPORTANT

Mathematics for Class 7>Chapter 18 - Symmetry>EXERCISE>Q 9

English alphabet Letter	Line Symmetry	Number of Lines of Symmetry	Rotational Symmetry	Order of Rotational Symmetry
Z	Nil	0	Yes	2
S	_____	_____	_____	_____
H	Yes	_____	Yes	_____
O	Yes	_____	Yes	_____
E	Yes	_____	_____	_____
N	_____	_____	Yes	_____
C	_____	_____	_____	_____