Worksheet Question: Symmetry

Symmetry Class 7 Worksheet Maths Chapter 12

Q.1. Fill in the blanks : (i) Rotation turns an object above a fixed point. This fixed point is called .............

(ii) Order of rotational symmetry of a circle is ..................
(iii) Rhombus is a figure that has ............... lines of symmetry and has a rotational symmetry of order .....................
(iv) ....................... is a figure that has neither a line of symmetry non a rotational symmetry.

Ans. (i) Centre of rotation
(ii) Infinite or uncountable
(iii) 2, 2

Q.2. State whether the given statements are True or False :
(i) A regular pentagon has no lines of symmetry.
(ii) Mirror reflection leads to symmetry always.
(iii) The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.
(iv) An angle has two line symmetry.

Ans. (i) False
(ii) False
(iii) Trure
(iv) False

Q.3. Draw all the lines of symmetry for the following letters of they exist.

Ans.

Q.4. In each of the following figures write the number of lines of symmetry and order of rotational symmetry.

(i) (ii) (iii) (iv)

Ans. (i) 1
(ii) 2, 2
(iii) 0, 1
(iv) 4, 4

Q.5. Angle of rotation of a figure is 40°. What is the number of lines of symmetry?

Ans. 9

Q.6. What is the centre of rotation of a an equilateral triangle?

Ans. Centroid

Q.7. In the given square

(i) Find the number of lines of symmetry. (ii) What is the order of rotational symmetry?

Ans. 4, 4

Q.8. In the given figure :

(i) Find the order of rotational symmetry. (ii) Find the degree measure of the anlge of rotation.

Ans. 4, 90°

Q.9. Draw all lines of symmetry for each of the following figures given below :

(i)(ii)  (iii) (iv)

Ans.

(i)

Q.10. Tell whether each figure has rotational symmetry or not.

(i)  (ii)  (iii)  (iv)

Ans. (i) No

(ii) Yes

(iii) No

(iv) Yes

The document Symmetry Class 7 Worksheet Maths Chapter 12 is a part of the Class 7 Course Mathematics (Maths) Class 7.
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FAQs on Symmetry Class 7 Worksheet Maths Chapter 12

 1. What is symmetry?
Ans. Symmetry is a concept in mathematics that refers to the balance or equal arrangement of parts on opposite sides of an axis or point. Objects or shapes are considered symmetrical if they can be divided into two identical halves that mirror each other.
 2. How do you determine if an object has symmetry?
Ans. To determine if an object has symmetry, you can try to fold it along an axis and see if the two halves match perfectly. If they do, the object is symmetrical. Another way is to check if the object has rotational symmetry, meaning it can be rotated and still look the same from certain angles.
 3. What are the different types of symmetry?
Ans. There are several types of symmetry, including reflectional symmetry (also known as mirror symmetry), rotational symmetry, and translational symmetry. Reflectional symmetry is the most common type and occurs when an object can be divided into two identical halves by a line of reflection.
 4. How is symmetry used in everyday life?
Ans. Symmetry is used in various aspects of everyday life, such as architecture, art, design, and nature. Architects often use symmetrical designs to create visually pleasing structures. Artists use symmetry to create balance and harmony in their compositions. Symmetry can also be found in natural objects like flowers, butterflies, and snowflakes.
 5. Can symmetry be found in non-living things?
Ans. Yes, symmetry can be found in non-living things as well. Many man-made objects, such as furniture, buildings, and vehicles, are designed with symmetrical features. Even simple objects like a book or a box can exhibit symmetry if they have identical sides or faces.

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