Haryana State Board HBSE 7th Class Maths Solutions Chapter 14 Symmetry Ex 14.1 Textbook Exercise Questions and Answers.

## Haryana Board 7th Class Maths Solutions Chapter 14 Symmetry Exercise 14.1

Question 1.

Copy the figures with punched holes and find the axis of symmetry for the

Solution:

Ifone half a shape can be folded into other half, then the shape is said to have a line of symmetry or axis of symmetry, shapes which have one or two lines of symmetry are called symmetrical.

(a) Line of symmetry,

(b) Line of symmetry.

(c) Line of symmetry,

(d) Not symmetry.

(e) Line of symmetry.

(f) Not symmetry.

(g) Line of symmetry.

(h) Line of symmetry.

(i) Not symmetry.

(j) Line of symmetry.

(k) Line of symmetry.

(l) Not symmetry

Question 2.

Given the find the other hole line(s) of symmetry, find the other holes(s):

Solution:

Question 3.

In the following figures, the mirror line (i.ethe line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure.

Solution:

Question 4.

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

Identify multiple lines of symmetry, if any, in each of the following figures :

Solution:

i.e., Fig. (b), (d), (e), (g) and (h) are the multiple lines of symmetry.

Question 5.

Copy the figure given here. (Fig.)

Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that ? Will the figure be symmetric about both the diagonals ?

Solution:

Question 6.

Copy the diagram and complete each shape to be symmetric about the mirror line(s):

Solution:

Question 7.

State the number of lines of symmetry for the following figures :

(a) An equilateral triangle

(b) An isosceles triangle

(c) A scalene triangle

(d) A square

(e) A rectangle

(f) A Rhombus

(g) A parallelogram

(h) A quadrilateral

(i) A regular hexagon

(j) A circle

Solution:

Shape :: No. of lines of Symmetry

(a) An equilateral triangle :: Three

(b) An isosceles triangle :: One

(c) A scalene triangle :: Nill

(d) A square :: Four

(e) A rectangle :: Two

(f) A Rhombus :: Two

(g) A parallelogram :: Nill

(h) A quadrilateral :: Nill

(i) A regular hexagon :: Six

(j) A circle :: Infinite

Question 8.

What letters of the English alphabet have reflectional symmetry i.e., symmetry related to mirror reflection) about, (a) a vertical mirror; (6) a horizontal mirror; (c) both horizontal and vertical mirrors.

Solution:

The English alphabets A to Z having

(a) Vertical lines of mirrors reflectional symmetry (like A) are

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

(b) Horizontal lines of 1 mirrors reflectional symmetry (like B) are

B, C, D, E, H, I, K, O, and X.

(c) Both horizontal and

vertical lines of mirrors reflectional symmetry (like H) are H, 1,0 and X

Question 9.

Identify three examples of shapes with no line of symmetry.

Solution:

Question 10.

What other name can you give to the line of symmetry of

(a) an isosceles triangle ?

(b) a circle ?

Solution:

(a) an isosceles triangle : Right angled triangle.

(b) a circle : Semi-circle.