EduSahara™ Worksheet

Question 1

1.

With the data in the figure, △BOC ≅ △EOD by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 2

2.

Which of the following are measures of an isosceles right angled triangle ?

(i)

KL = 14 cm , LM = 15 cm , MK = 11 cm
(ii)

KL = 11 cm , LM = 11 cm , MK = 11 cm
(iii)

KL = 12 cm , LM = 18 cm , MK = 12 cm
(iv)

KL = 14 cm , LM = 14 cm , MK = 19.8 cm
(v)

KL = 12 cm , LM = 15 cm , MK = 13 cm

Question 3

3.

In the given figure, if KI = IL = JL. Find the value of x.

(i)

x

=

78.5°
(ii)

x

=

77.5°
(iii)

x

=

81.5°
(iv)

x

=

79.5°
(v)

x

=

80.5°

Question 4

4.

The point of intersection of the medians of a triangle is called

(i)

incentre
(ii)

orthocentre
(iii)

centroid
(iv)

altitude
(v)

circumcentre

Question 5

5.

With the data in the given figure, △OPR ≅ △QRP by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 6

6.

In below given figure, find ∠DAB

(i)

75.70°
(ii)

73.70°
(iii)

76.70°
(iv)

74.70°
(v)

72.70°

Question 7

7.

Which of the following are measures of an acute angled triangle ?

(i)

CD = 10 cm , DE = 18 cm , EC = 11 cm
(ii)

CD = 11 cm , DE = 10 cm , EC = 10 cm
(iii)

CD = 14 cm , DE = 14 cm , EC = 19.8 cm
(iv)

CD = 14 cm , DE = 26 cm , EC = 14 cm
(v)

CD = 14 cm , DE = 13 cm , EC = 19.1 cm

Question 8

8.

With the data in the figure, △NOR ≅ △NPS by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

FG = 10 cm , GH = 11 cm , HF = 10 cm
(ii)

FG = 14 cm , GH = 12 cm , HF = 10 cm
(iii)

FG = 12 cm , GH = 12 cm , HF = 12 cm
(iv)

FG = 11 cm , GH = 11 cm , HF = 15.56 cm
(v)

FG = 12 cm , GH = 15 cm , HF = 12 cm

Question 10

10.

In the given figure, find the value of x.

(i)

x

=

26.5°
(ii)

x

=

23.5°
(iii)

x

=

25.5°
(iv)

x

=

24.5°
(v)

x

=

27.5°

Question 11

11.

With the data in the figure, △ADB ≅ △ADC by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 12

12.

(i)

119°
(ii)

121°
(iii)

122°
(iv)

120°
(v)

118°

Question 13

13.

Which of the following are measures of an equilateral triangle ?

(i)

GH = 10 cm , HI = 10 cm , IG = 10 cm
(ii)

GH = 10 cm , HI = 13 cm , IG = 10 cm
(iii)

GH = 11 cm , HI = 11 cm , IG = 15.56 cm
(iv)

GH = 13 cm , HI = 11 cm , IG = 14 cm
(v)

GH = 15 cm , HI = 13 cm , IG = 19.85 cm

Question 14

14.

The ratio between the base angle and the vertical angle of an isosceles triangle is 4 : 1. Find each angle of the triangle

(i)

A

=

20°

,

B

=

80°

,

C

=

80°
(ii)

A

=

18°

,

B

=

82°

,

C

=

80°
(iii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iv)

A

=

20°

,

B

=

78°

,

C

=

82°
(v)

A

=

22°

,

B

=

80°

,

C

=

78°

Question 15

15.

In the given figure , if DA ⟂ BC and ∠ABD = 55.35°, find ∠DAB

(i)

33.65°
(ii)

36.65°
(iii)

34.65°
(iv)

32.65°
(v)

35.65°

Question 16

16.

With the data in the figure, △EHF ≅ △FGE by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 17

17.

With the data in the given figure, △PQS ≅ △RQS by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 18

18.

With the data in the given figure, △OPR ≅ △QPR by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 19

19.

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

a)	∠Q = 45°
b)	∠S = 72°
c)	∠S = 63°
d)	∠Q = 72°
e)	∠R = 45°
f)	∠R = 63°

(i)

{d,a,b}
(ii)

{c,a}
(iii)

{e,c,f}
(iv)

{a,b,f}
(v)

{d,b}

Question 20

20.

Which of the following are true?

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

(i)

{a,b,c}
(ii)

{b,c,d}
(iii)

{a,b}
(iv)

{a,e,d}
(v)

{e,c}

Question 21

21.

Which of the following are measures of an obtuse angled triangle ?

(i)

PQ = 12 cm , QR = 19 cm , RP = 11 cm
(ii)

PQ = 13 cm , QR = 15 cm , RP = 10 cm
(iii)

PQ = 13 cm , QR = 12 cm , RP = 17.69 cm
(iv)

PQ = 11 cm , QR = 14 cm , RP = 13 cm
(v)

PQ = 10 cm , QR = 10 cm , RP = 14.14 cm

Question 22

22.

The median corresponding to the side
MN

(i)

MP
(ii)

OR
(iii)

MN
(iv)

MQ
(v)

NQ

Question 23

23.

In the given figure, find the values of x and y.

(i)

x

=

40.17°

,

y

=

67.37°
(ii)

x

=

39.17°

,

y

=

66.37°
(iii)

x

=

43.17°

,

y

=

70.37°
(iv)

x

=

41.17°

,

y

=

68.37°
(v)

x

=

42.17°

,

y

=

69.37°

Question 24

24.

Find the unknown angles in the following figure

(i)

B

=

54°

,

C

=

54°
(ii)

B

=

52°

,

C

=

52°
(iii)

B

=

53°

,

C

=

53°
(iv)

B

=

51°

,

C

=

51°
(v)

B

=

50°

,

C

=

50°

Question 25

25.

In the given triangle, ∠J = 87.36°. Find the measure of ∠K and ∠L

(i)

∠K = ∠L = 46.32°
(ii)

∠K = ∠L = 44.32°
(iii)

∠K = ∠L = 48.32°
(iv)

∠K = ∠L = 47.32°
(v)

∠K = ∠L = 45.32°

Assignment Key