**Chapter 14 Symmetry**

### Very Short Answer Type

Question 1.

Draw any two English alphabets having an only a vertical line of symmetry.

Solution:

Question 2.

Draw any two English alphabets having a horizontal line of symmetry.

Solution:

Question 3.

Draw any two English alphabets having both horizontal and vertical line of symmetry.

Solution:

Question 4.

Dray any two English alphabets which has no line of symmetry.

Solution:

Question 5.

Draw any two figures which have the order of rotational symmetry 4.

Solution:

Question 6.

Draw any two figures which have the order of rotational symmetry 2.

Solution:

Question 7.

State the order of rotational symmetry of the following figures.

Solution:

(i) Order of equilateral triangle = 3

(ii) Order of regular pentagon = 5.

Question 8.

Draw a figure having an infinite number of lines of symmetry.

Solution:

A circle has the infinite number of lines of symmetry.

Question 9.

Draw any two figure having no lines of symmetry.

Solution:

English alphabet R and P have no lines of symmetry.

Question 10.

State the English alphabet which has only the horizontal line of symmetry.

Solution:

B, C, D, E, H, I, O, X and K are the English alphabets having an only horizontal line of symmetry.

### Short Answer Type

Question 11.

Give the order of rotational symmetry of each of the following figures:

Solution:

(a) Order of rotational symmetry = 4

(b) Order of rotational symmetry = 5

(c) Order of rotational symmetry = 3

(d) Order of rotational symmetry = 6

(e) Order of rotational symmetry = 3

(f) Order of rotational symmetry = 4

Question 12.

How many lines of symmetry do the following have:

(a) a parallelogram

(b) an equilateral triangle

(c) a right angle with equal legs

(d) an angle with equal arms

(e) a semicircle

(f) a rhombus

(g) a square

(h) scalene triangle

Solution:

Question 13.

What letters of the English alphabet have reflectional symmetry about

(а) a vertical mirror

(b) a horizontal mirror

(c) both horizontal and vertical mirrors

Solution:

(a) The letters of English alphabet having reflectional symmetry about a vertical mirror are:

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

(b) Letters of the English alphabets having reflectional symmetry about a horizontal mirror are:

B, C, D, E, H, I, O, X

(c) Letters of the English alphabet having reflectional of symmetry about vertical and horizontal mirror are:

O, X, I, H.