EduSahara™ Worksheet

Question 1

1.

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

(i)

△CDE ≅ △RPQ
(ii)

△CDE ≅ △PQR
(iii)

△DEC ≅ △PQR
(iv)

△CDE ≅ △RQP
(v)

△CDE ≅ △QRP

Question 2

2.

Which of the following are true?

a)	A semi-circle is a polygonal region.
b)	A square is a polygonal region.
c)	A circle is a polygonal region.
d)	A sector is a polygonal region.
e)	A triangle is a polygonal region.

(i)

{c,e,b}
(ii)

{d,a,b}
(iii)

{b,e}
(iv)

{c,e}
(v)

{a,b}

Question 3

3.

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

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

(i)

{d,e,a}
(ii)

{c,a}
(iii)

{a}
(iv)

{b,a}

Question 4

4.

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

a)	270°
b)	180°
c)	90°
d)	360°

(i)

{d,a,b}
(ii)

{a,b,c}
(iii)

{d,b}
(iv)

{d,c}
(v)

{d,a}

Question 5

5.

Which of the following are true?

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

(i)

{a,d,e,f}
(ii)

{c,d}
(iii)

{g,h,e}
(iv)

{b,a}
(v)

{b,f,a}

Question 6

6.

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

a)	TU = 13 cm
b)	VT = 13 cm
c)	VT = 14 cm
d)	TU = 16 cm
e)	UV = 16 cm
f)	UV = 13 cm

(i)

{a,c,e}
(ii)

{b,a}
(iii)

{d,c}
(iv)

{d,a,c}
(v)

{f,b,e}

Question 7

7.

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

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

(i)

{f,h,e}
(ii)

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

{b,g,a}
(iv)

{d,c}
(v)

{b,a}

Question 8

8.

Which of the following are true?

a)	A semi-circle has rotational symmetry of order two.
b)	A square has rotational symmetry of order four.
c)	A rhombus has rotational symmetry of order four.
d)	A rectangle has rotational symmetry of order four.
e)	A parallelogram has rotational symmetry of order four.

(i)

{b}
(ii)

{c,b}
(iii)

{d,e,b}
(iv)

{a,b}

Question 9

9.

Which of the following quadrilaterals have four lines of symmetry?

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

(i)

{b,f}
(ii)

{c,d,f}
(iii)

{e,f}
(iv)

{a,f}
(v)

{f}

Question 10

10.

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

(i)

H
(ii)

I
(iii)

N
(iv)

A
(v)

C

Question 11

11.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{e,f,b}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{g,d,b}
(v)

{a,b}

Question 12

12.

Which of the following triangles have rotational symmetry?

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

(i)

{c,b}
(ii)

{b}
(iii)

{d,e,b}
(iv)

{a,b}

Question 13

13.

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

(i)

r
(ii)

{ p, q, r }
(iii)

none
(iv)

p
(v)

q

Question 14

14.

If a figure has rotational symmetry of order 8, then it regain its shape after being rotated by an angle of

(i)

42°
(ii)

50°
(iii)

45°
(iv)

48°
(v)

40°

Question 15

15.

Which of the following figures have three lines of symmetry?

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

(i)

{f,a}
(ii)

{a}
(iii)

{b,a}
(iv)

{d,e,a}
(v)

{c,a}

Question 16

16.

Which of the following English alphabet letters has rotational symmetry?

(i)

K
(ii)

R
(iii)

C
(iv)

F
(v)

O

Question 17

17.

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

(i)

{ e, g }
(ii)

h
(iii)

e
(iv)

f
(v)

{ f, h }

Question 18

18.

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

(i)

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

e
(iii)

{ f, h }
(iv)

g
(v)

none

Question 19

19.

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

(i)

I
(ii)

B
(iii)

X
(iv)

C
(v)

O

Question 20

20.

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

(i)

infinite
(ii)

three
(iii)

two
(iv)

zero
(v)

one

Question 21

21.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{b,c,e}
(ii)

{a,b,c}
(iii)

{d,c}
(iv)

{f,g,e}
(v)

{a,b}

Question 22

22.

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

(i)

f
(ii)

{ e, g }
(iii)

e
(iv)

g
(v)

none

Question 23

23.

Which of the following are true?

a)	Any two circles are congruent.
b)	Any two triangles are similar.
c)	Any two squares are congruent.
d)	Any two triangles are congruent.
e)	Any two circles are similar.
f)	Any two squares are similar.

(i)

{b,f}
(ii)

{c,d,e}
(iii)

{a,e}
(iv)

{e,f}
(v)

{a,f,e}

Question 24

24.

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

(i)

270°
(ii)

90°
(iii)

180°
(iv)

360°

Question 25

25.

In the given figure, △CDE & △PQR are similar triangles. If the ratio of the heights CF : PS = 10 : 14, then the ratio of their areas is

(i)

100

sq.cm

:

198

sq.cm
(ii)

100

sq.cm

:

194

sq.cm
(iii)

101

sq.cm

:

196

sq.cm
(iv)

99

sq.cm

:

196

sq.cm
(v)

100

sq.cm

:

196

sq.cm

Assignment Key