EduSahara™ Worksheet

Question 1

1.

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)

40°
(v)

48°

Question 2

2.

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

(i)

△BCD ≅ △STR
(ii)

△BCD ≅ △TSR
(iii)

△CDB ≅ △RST
(iv)

△BCD ≅ △RST
(v)

△BCD ≅ △TRS

Question 3

3.

Which of the following are true?

a)	If two figures are congruent, then they are similar too.
b)	Similar and congruent are not synonymous.
c)	If two figures are similar, then they are congruent too.
d)	Congruent figures have same area.
e)	Similar figures have same area.

(i)

{c,a}
(ii)

{a,b,d}
(iii)

{c,a,b}
(iv)

{e,b}
(v)

{c,e,d}

Question 4

4.

In the given figure, △BCD ∼ △NOP and CD = 10 cm , OP = 14 cm and

(i)

122.28 sq.cm
(ii)

123.28 sq.cm
(iii)

124.28 sq.cm
(iv)

121.28 sq.cm
(v)

120.28 sq.cm

Question 5

5.

Which of the following figures have point symmetry?

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

(i)

{b,a,f}
(ii)

{a,f,g}
(iii)

{d,e,g}
(iv)

{b,a}
(v)

{c,f}

Question 6

6.

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

(i)

e
(ii)

g
(iii)

f
(iv)

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

none

Question 7

7.

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

(i)

180°
(ii)

270°
(iii)

360°
(iv)

90°

Question 8

8.

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

(i)

e
(ii)

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

{ f, h }
(iv)

none
(v)

h

Question 9

9.

Which of the following English alphabet letters have one line of symmetry?

(i)

B
(ii)

I
(iii)

F
(iv)

Q
(v)

H

Question 10

10.

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

(i)

none
(ii)

r
(iii)

q
(iv)

{ p, q, r }
(v)

p

Question 11

11.

Which of the following figures have no line of symmetry?

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

(i)

{b,a}
(ii)

{b,d,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{e,f,a}

Question 12

12.

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

a)	∠U = 43°
b)	∠W = 49°
c)	∠W = 88°
d)	∠U = 49°
e)	∠V = 88°
f)	∠V = 43°

(i)

{d,b}
(ii)

{d,a,b}
(iii)

{c,a}
(iv)

{a,b,e}
(v)

{f,c,e}

Question 13

13.

Which of the following are true?

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

(i)

{b,c}
(ii)

{a,c,d}
(iii)

{b,a,c}
(iv)

{b,d}
(v)

{b,a}

Question 14

14.

Which of the following are true?

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

(i)

{a,e,d}
(ii)

{d,e}
(iii)

{b,e}
(iv)

{a,d}
(v)

{c,f,d}

Question 15

15.

A vertical stick
16 m
long casts a shadow of
11 m
long on the ground.

At the same time, a tower casts the shadow
88 m
long on the ground.

Find the height of the tower.

(i)

129 m
(ii)

127 m
(iii)

126 m
(iv)

128 m
(v)

130 m

Question 16

16.

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

(i)

q
(ii)

p
(iii)

{ p, q, r }
(iv)

r
(v)

none

Question 17

17.

Which of the following figures have three lines of symmetry?

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

(i)

{a}
(ii)

{f,a}
(iii)

{c,a}
(iv)

{b,a}
(v)

{d,e,a}

Question 18

18.

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

(i)

q
(ii)

{ p, q, r }
(iii)

none
(iv)

r
(v)

p

Question 19

19.

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

(i)

{ f, h }
(ii)

e
(iii)

none
(iv)

{ e, g }
(v)

{ e, f, g, h }

Question 20

20.

Which of the following quadrilaterals have two lines of symmetry?

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

(i)

{f,g,d}
(ii)

{d,g}
(iii)

{b,g}
(iv)

{a,d}
(v)

{c,e,d}

Question 21

21.

Which of the following English alphabet letters has point symmetry?

(i)

E
(ii)

A
(iii)

O
(iv)

P
(v)

F

Question 22

22.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{g,e,a}
(ii)

{b,a}
(iii)

{a,e}
(iv)

{d,f,a}
(v)

{c,e}

Question 23

23.

Given figure has how many lines of symmetry?

(i)

3
(ii)

6
(iii)

8
(iv)

4
(v)

5

Question 24

24.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{a,e}
(ii)

{e,f,g}
(iii)

{c,d,g}
(iv)

{a,e,f}
(v)

{b,f}

Question 25

25.

In the given figure, △EFG & △MNO are similar triangles. If the ratio of the heights EH : MP = 7 : 10, then the ratio of their areas is

(i)

48

sq.cm

:

100

sq.cm
(ii)

50

sq.cm

:

100

sq.cm
(iii)

49

sq.cm

:

103

sq.cm
(iv)

49

sq.cm

:

97

sq.cm
(v)

49

sq.cm

:

100

sq.cm

Assignment Key