Page 265 - Ganit Kaushal

6. State whether the following statements are True (T) or False (F).
(a) A rhombus has four lines of symmetry.

(b) A circle has no lines of symmetry.
(c) Linear symmetry and mirror image are related to each other.
(d) An isosceles triangle has two axes of symmetry.
(e) The digits 6 and 9 are mirror images of each other.
7. Fill in the blanks.
(a) A regular polygon of n sides has ________ lines of symmetry.
(b) The numeral 9 has ________ lines of symmetry.

(c) A trapezium has ________ line(s) of symmetry.
(d) A circle has ________ lines of symmetry.
(e) A trapezium with equal base angles has ________ line(s) of symmetry.
Subjective/Competency Based Questions
8. In a figure, 60° is the smallest angle of symmetry. What are the other angles of symmetry in this figure?
(NCERT)
9. In a figure, 60° is an angle of symmetry. The figure has two angles of symmetry less than 60°. What
is its smallest angle of symmetry? (NCERT)
10. Can we have a figure with rotational symmetry whose least angle of symmetry is: (NCERT)
(a) 45°? (b) 23°?
11. How many lines of symmetry do the shapes in the first shape sequence in Chapter 1, the Regular
Polygons, have? What number sequence do you get? (NCERT)
12. How many lines of symmetry and angles of symmetry does the Ashoka Chakra have?
What is the least angle of symmetry? (NCERT)
13. Examine the number of lines of symmetry, angles of symmetry and the least angle of
symmetry for each of the following figures:

(a) (b) (c)

14. Write the letters of the word ‘MATHEMATICS’ which have
(a) no lines of symmetry (b) 1 line of symmetry (c) 2 lines of symmetry
15. Draw the mirror image concerning the given mirror line.
Also, draw the line of symmetry of the figure so obtained.
Is the mirror image of W in the question also a letter of the English alphabet? If yes, which letter?

16. Give two letters of the English alphabet which have a rotational symmetry of order 2 but no line of
symmetry.

17. Which of the following flags are symmetrical? Draw the lines of symmetry, if any:

(a) (b) (c) (d)

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