EduSahara™ Worksheet

Question 1

1.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{a,c}
(ii)

{g,f,c}
(iii)

{d,e,c}
(iv)

{b,f}
(v)

{c,f}

Question 2

2.

Which of the following are true?

a)	Any two triangles are similar if the corresponding sides are proportional.
b)	Any two triangles are similar if the corresponding angles are equal.
c)	Any two quadrilaterals are similar if the corresponding sides are proportional.
d)	Any two quadrilaterals are similar if the corresponding angles are equal.

(i)

{d,c}
(ii)

{d,a,b}
(iii)

{d,a}
(iv)

{d,b}
(v)

{a,b,c}

Question 3

3.

Which of the following English alphabet letters have two lines of symmetry?

(i)

I
(ii)

F
(iii)

U
(iv)

Z
(v)

C

Question 4

4.

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

(i)

g
(ii)

h
(iii)

{ e, g }
(iv)

f
(v)

{ f, h }

Question 5

5.

Which of the following are true?

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

(i)

{g,h,e}
(ii)

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

{a,f,c}
(iv)

{b,d}
(v)

{a,c}

Question 6

6.

Which of the following English alphabet letters have infinite lines of symmetry?

(i)

D
(ii)

X
(iii)

I
(iv)

M
(v)

O

Question 7

7.

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

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

(i)

{e,d,a}
(ii)

{e,a}
(iii)

{a,b,c,d}
(iv)

{g,h,c}
(v)

{f,b}

Question 8

8.

In the given figure, △DEF ≅ △SRQ. Which of the following are true?

a)	∠R = 57°
b)	∠Q = 73°
c)	∠S = 57°
d)	∠S = 73°
e)	∠R = 51°
f)	∠Q = 51°

(i)

{c,a,d}
(ii)

{a,d,f}
(iii)

{c,d}
(iv)

{b,a}
(v)

{e,b,f}

Question 9

9.

In the given two similar triangles, if j = 15 cm, k = 15 cm, l = 16 cm, m = 9 cm, find n

(i)

7.00 cm
(ii)

8.00 cm
(iii)

11.00 cm
(iv)

9.00 cm
(v)

10.00 cm

Question 10

10.

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

(i)

{ f, h }
(ii)

h
(iii)

g
(iv)

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

e

Question 11

11.

In the given figure, △CDE ≅ △STU. Which of the following are true?

a)	ST = 15 cm
b)	TU = 16 cm
c)	US = 16 cm
d)	US = 11 cm
e)	TU = 15 cm
f)	ST = 16 cm

(i)

{a,d}
(ii)

{c,a,f}
(iii)

{b,e}
(iv)

{d,e,f}
(v)

{b,d,e}

Question 12

12.

Which of the following are true?

a)	All regular polygons have point symmetry.
b)	If a figure does not have line symmetry, it does not have rotational symmetry too.
c)	If a figure does not have point symmetry, it does not have line symmetry too.
d)	If a figure does not have point symmetry, it does not have rotational symmetry too.
e)	If a figure does not have rotational symmetry, it does not have point symmetry too.
f)	A circle has infinite points of symmetry.
g)	If a figure has line symmetry, it also has rotational symmetry.

(i)

{b,e}
(ii)

{a,e}
(iii)

{c,d,e}
(iv)

{f,e}
(v)

{e}

Question 13

13.

Which of the following figures have two lines of symmetry?

a)	kite
b)	scalene triangle
c)	line segment
d)	angle with equal arms
e)	rectangle
f)	square
g)	isosceles triangle
h)	isosceles trapezium

(i)

{b,e}
(ii)

{a,c}
(iii)

{g,e,c}
(iv)

{c,e}
(v)

{d,f,c}

Question 14

14.

Given figure has how many lines of symmetry?

(i)

8
(ii)

3
(iii)

7
(iv)

6
(v)

5

Question 15

15.

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

(i)

none
(ii)

r
(iii)

q
(iv)

p
(v)

{ p, q, r }

Question 16

16.

Which of the following English alphabet letters has point symmetry?

(i)

A
(ii)

C
(iii)

J
(iv)

S
(v)

K

Question 17

17.

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

(i)

90°
(ii)

360°
(iii)

270°
(iv)

180°

Question 18

18.

Which of the following figures have point symmetry?

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

(i)

{a,c}
(ii)

{f,c}
(iii)

{c}
(iv)

{d,e,c}
(v)

{b,c}

Question 19

19.

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

a)	270°
b)	360°
c)	180°
d)	90°

(i)

{b,a}
(ii)

{b,d}
(iii)

{b,a,c}
(iv)

{a,c,d}
(v)

{b,c}

Question 20

20.

In the given figure, △DEF ∼ △QRS and DE = 13 cm, QR = 18.2 cm.

(i)

124.98 sq.cm
(ii)

127.98 sq.cm
(iii)

126.98 sq.cm
(iv)

125.98 sq.cm
(v)

128.98 sq.cm

Question 21

21.

Which of the following figures have point symmetry?

a)	regular octagon
b)	regular heptagon
c)	semicircle
d)	regular pentagon
e)	regular hexagon
f)	circle
g)	sector of a circle

(i)

{d,g,f}
(ii)

{c,e}
(iii)

{a,e,f}
(iv)

{b,a}
(v)

{b,a,e}

Question 22

22.

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

(i)

{ p, q, r }
(ii)

p
(iii)

none
(iv)

q
(v)

r

Question 23

23.

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

(i)

none
(ii)

h
(iii)

e
(iv)

g
(v)

{ e, f, g, h }

Question 24

24.

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

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

(i)

{a,b,d}
(ii)

{a,c,e}
(iii)

{b,d,e}
(iv)

{c,d}
(v)

{a,b}

Question 25

25.

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

(i)

f
(ii)

h
(iii)

e
(iv)

g
(v)

none

Assignment Key