EduSahara™ Worksheet

Question 1

1.

Which of the following figures have one line of symmetry?

a)	isosceles triangle
b)	line segment
c)	angle with equal arms
d)	isosceles right angled triangle
e)	right angled triangle
f)	angle with unequal arms
g)	equilateral triangle
h)	scalene triangle

(i)

{e,c}
(ii)

{f,g,d}
(iii)

{b,a}
(iv)

{h,a,c}
(v)

{a,c,d}

Question 2

2.

Which of the following are line(s) of symmetry for the given trapezium?

(i)

f
(ii)

{ f, h }
(iii)

none
(iv)

g
(v)

e

Question 3

3.

Which of the following are true?

a)	An n-sided regular polygon has n/2 lines of symmetry if n is even.
b)	Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
c)	If a quadrilateral has four lines of symmetry, then it is a regular polygon.
d)	If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
e)	A regular polygon of n sides will have n lines of symmetry.
f)	Line of symmetry divides the polygon into two identical shapes.
g)	If a triangle has two lines of symmetry, then it is a regular polygon.

(i)

{b,f,c}
(ii)

{a,c}
(iii)

{c,d,e,f}
(iv)

{g,a,e}
(v)

{b,d}

Question 4

4.

Which of the following figures have all symmetries viz. line symmetry, point symmetry and rotational symmetry?

a)	regular pentagon
b)	line segment
c)	square
d)	equilateral triangle
e)	circle
f)	angle with equal arms
g)	parallelogram
h)	regular hexagon

(i)

{a,b}
(ii)

{a,h,b}
(iii)

{b,c,e,h}
(iv)

{d,c}
(v)

{f,g,e}

Question 5

5.

Which of the following English alphabet letters has point symmetry?

(i)

Z
(ii)

M
(iii)

C
(iv)

L
(v)

F

Question 6

6.

A median is an axis of symmetry in which of the given figures?

a)	isosceles triangle
b)	equilateral triangle
c)	isosceles right angled triangle
d)	right angle triangle
e)	scalene triangle

(i)

{d,e,c}
(ii)

{d,a}
(iii)

{d,a,b}
(iv)

{a,b,c}
(v)

{e,b}

Question 7

7.

Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?

a)	equilateral triangle
b)	angle with equal arms
c)	scalene triangle
d)	line segment
e)	isosceles triangle

(i)

{c}
(ii)

{a,c}
(iii)

{d,e,c}
(iv)

{b,c}

Question 8

8.

A figure possesses point symmetry if it regain its shape after rotating

(i)

180°
(ii)

90°
(iii)

360°
(iv)

270°

Question 9

9.

Which of the following quadrilaterals have point symmetry?

a)	square
b)	rhombus
c)	trapezium
d)	kite
e)	parallelogram
f)	rectangle
g)	isosceles trapezium

(i)

{c,a}
(ii)

{d,f,a}
(iii)

{g,c,e}
(iv)

{d,b}
(v)

{a,b,e,f}

Question 10

10.

Which of the following are line(s) of symmetry for the given rectangle?

(i)

{ e, g }
(ii)

none
(iii)

h
(iv)

g
(v)

{ e, f, g, h }

Question 11

11.

Identify the line(s) of symmetry in the following figure

(i)

{ p, q, r }
(ii)

q
(iii)

p
(iv)

r
(v)

none

Question 12

12.

Identify the line(s) of symmetry in the following figure

(i)

q
(ii)

none
(iii)

{ p, q, r }
(iv)

r
(v)

p

Question 13

13.

Which of the following English alphabet letters does not have point symmetry?

(i)

H
(ii)

X
(iii)

O
(iv)

A
(v)

S

Question 14

14.

If a figure has rotational symmetry of order 10, then it regain its shape after being rotated by an angle of

(i)

33°
(ii)

41°
(iii)

36°
(iv)

39°
(v)

31°

Question 15

15.

Given figure has how many lines of symmetry?

(i)

6
(ii)

3
(iii)

5
(iv)

4
(v)

7

Question 16

16.

Which of the following figures have infinite lines of symmetry?

a)	sector of a circle
b)	line segment
c)	n-sided polygon where n is very large
d)	circle
e)	semicircle

(i)

{b,d}
(ii)

{a,d}
(iii)

{d}
(iv)

{c,e,d}

Question 17

17.

Which of the following are true?

a)	A circle has rotational symmetry of infinite order.
b)	A polygon need not be regular to have point symmetry.
c)	A polygon need not be regular to have rotational symmetry.
d)	A circle has infinite points of symmetry.
e)	A circle has infinite lines of symmetry.

(i)

{d,e,a}
(ii)

{a,b,c,e}
(iii)

{d,c}
(iv)

{d,a}
(v)

{d,b}

Question 18

18.

In the given figure, △BCD ≅ △VUT. Which of the following are true?

a)	CD = UT
b)	∠C = ∠U
c)	∠D = ∠T
d)	CD = VU
e)	∠B = ∠T

(i)

{d,a}
(ii)

{e,b}
(iii)

{a,b,c}
(iv)

{d,a,b}
(v)

{d,e,c}

Question 19

19.

In the given figure, which of the following is true?

(i)

△FGH ≅ △STR
(ii)

△GHF ≅ △RST
(iii)

△FGH ≅ △RST
(iv)

△FGH ≅ △TRS
(v)

△FGH ≅ △TSR

Question 20

20.

In the given figure, △ABC ∼ △OPQ and BC = 13 cm , PQ = 18.2 cm and

(i)

148.30 sq.cm
(ii)

150.30 sq.cm
(iii)

151.30 sq.cm
(iv)

149.30 sq.cm
(v)

152.30 sq.cm

Question 21

21.

Which of the following are true?

a)	A line segment has one line of symmetry.
b)	Line of symmetry and axis of symmetry are same.
c)	An obtuse angled triangle has zero lines of symmetry.
d)	Axis of symmetry of a figure need not intersect with the figure at any point.
e)	For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
f)	Line of symmetry is perpendicular to axis of symmetry.
g)	A figure can be broken into two congruent shapes about its axis of symmetry.
h)	A figure can have multiple axes of symmetry.

(i)

{c,e}
(ii)

{d,f,g}
(iii)

{a,h,b}
(iv)

{b,e,g,h}
(v)

{a,b}

Question 22

22.

Which of the following quadrilaterals have two lines of symmetry?

a)	isosceles trapezium
b)	rectangle
c)	square
d)	rhombus
e)	trapezium
f)	parallelogram
g)	kite

(i)

{c,d}
(ii)

{e,f,b}
(iii)

{b,d}
(iv)

{a,b}
(v)

{g,d,b}

Question 23

23.

The English alphabet letter 'F' has how many lines of symmetry?

(i)

one
(ii)

two
(iii)

infinite
(iv)

zero
(v)

three

Question 24

24.

Which of the following are line(s) of symmetry for the given square?

(i)

h
(ii)

f
(iii)

{ e, f, g, h }
(iv)

none
(v)

e

Question 25

25.

Which of the following figures have three lines of symmetry?

a)	right angle triangle
b)	isosceles right angled triangle
c)	line segment
d)	equilateral triangle
e)	scalene triangle
f)	isosceles triangle

(i)

{a,d}
(ii)

{c,e,d}
(iii)

{d}
(iv)

{b,d}
(v)

{f,d}

Assignment Key