Important Questions for CBSE Class 7 Maths Chapter 12 - Symmetry

(1 Mark)

1. Tell whether the dotted line is a line of symmetry?

Ans: Yes

2. Draw the line of symmetry for the diagram below.

Ans:

3. Draw a line of symmetry for the figure given below.

Ans:

4. Does a triangle have a line of symmetry as well as rotational symmetry?

Ans: Yes

5. Does the letter below have a line of symmetry?

Ans: 

Ans: Yes

6. State the number of lines of symmetry for the following figures.

(a) A Rhombus

(b) An Equilateral triangle

Ans:

(a) 2

(b) 3

7. Name two examples with no line of symmetry.

Ans: Trapezius and scalene triangle.

8. Give two examples for figures having line symmetry and also rotational symmetry.

Ans: Regular hexagon and equilateral triangle.

9. Name the quadrilateral which have both line and rotational symmetry of order more than 1.

Ans: Square, rectangle, rhombus.

10. Write the order of symmetry.

Ans: Rotational symmetry

Two

11. Does the given figure have a line of symmetry?

(a)

(b)

Ans:

(a) Yes

(b) Yes

12. Draw the second half of each symmetrical shape.

(a)

(b)

Ans:

(a)

(b)

13. Draw the line of symmetry for the following alphabets.

(a)

(b)

Ans:

(a)

(b)

14. Draw the second half of the letters (symmetrical shapes).

(a)

(b)

Ans:

(a)

(b)

15. Give the order of rotational symmetry.

Ans: Number of symmetry’s = Four

3-Marks

16. Can we have a rotational symmetry of order more than one whose angle of rotation is

1. \[90^0\]

2. \[22^0\]

Ans:

(a) If angle of symmetry of a figure is a factor of \[360^0\] then it will have rotational symmetry of order more than 1.

(b) \[90^0\] is factor of \[360^0\] but \[22^0\] is not.

The figure having angle of rotation \[90^0\] will have rotational symmetry more than 1.

17. List the alphabets which are having a reflection about vertical symmetry.

Ans: A, H, I, M, O, T, U, V, W, X, Y.

18. List the alphabets which are having a reflection about horizontal symmetry.

Ans: B, C, D, E, H, I, K, O, X.

19. List the alphabets having both vertical and horizontal rotational symmetry.

Ans: H, I, O, X.

20. Draw the line of symmetry

(a)

(b)

(c)

Ans:

(a)

(b)

(c)

Or

21. What is symmetry?

Ans.  Symmetry is a balanced arrangement of parts on either side of an axis or a center. If one part mirrors the other, it is symmetrical.

22. How do you identify the axis of symmetry in a shape?

Ans. The axis of symmetry is an imaginary line where a shape can be folded to create two identical halves. To find it, look for a line along which the shape's two halves match.

23. Can all shapes have symmetry?

Ans. No, not all shapes have symmetry. Only specific arrangements of lines, curves, or patterns result in symmetry. For example, a circle has infinite lines of symmetry, while irregular shapes may not have any.

24. Explain rotational symmetry?

Ans. Rotational symmetry is when a shape looks the same after a certain degree of rotation around its center. For instance, a square has rotational symmetry of 90 degrees, as it looks the same after a quarter turn.

25. How can symmetry be applied in real life?

Ans. Symmetry is seen in many everyday objects, from buildings to nature. Architects use symmetry in designing structures, and understanding symmetry helps artists create balanced and visually appealing artworks. Even in biology, living organisms often display symmetrical patterns.

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Conclusion

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