EduSahara™ Worksheet

Question 1

1.

Calculate the value of the lettered angle in the following figure

(i)

x

=

45°
(ii)

x

=

44°
(iii)

x

=

46°
(iv)

x

=

47°
(v)

x

=

43°

Question 2

2.

Find the value of x in the given figure.

(i)

x

=

26°
(ii)

x

=

25°
(iii)

x

=

23°
(iv)

x

=

24°
(v)

x

=

22°

Question 3

3.

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

a)	∠T = 59°
b)	∠U = 52°
c)	∠V = 52°
d)	∠V = 59°
e)	∠U = 69°
f)	∠T = 69°

(i)

{a,b}
(ii)

{c,d}
(iii)

{b,d,f}
(iv)

{c,b,d}
(v)

{e,a,f}

Question 4

4.

Which of the following are measures of an isosceles triangle ?

(i)

PQ = 15 cm , QR = 13 cm , RP = 19.85 cm
(ii)

PQ = 13 cm , QR = 14 cm , RP = 13 cm
(iii)

PQ = 11 cm , QR = 11 cm , RP = 11 cm
(iv)

PQ = 13 cm , QR = 11 cm , RP = 12 cm
(v)

PQ = 11 cm , QR = 13 cm , RP = 14 cm

Question 5

5.

In the given triangle, ∠B = 100.26°. Find the measure of ∠C and ∠D

(i)

∠C = ∠D = 40.87°
(ii)

∠C = ∠D = 38.87°
(iii)

∠C = ∠D = 41.87°
(iv)

∠C = ∠D = 37.87°
(v)

∠C = ∠D = 39.87°

Question 6

6.

Find the unknown angle in the following figure

(i)

x

=

46.32°
(ii)

x

=

47.32°
(iii)

x

=

44.32°
(iv)

x

=

48.32°
(v)

x

=

45.32°

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

∠L = 57.56° , ∠M = 76.87° , ∠N = 45.57°
(ii)

∠L = 47.49° , ∠M = 90° , ∠N = 42.51°
(iii)

∠L = 45° , ∠M = 90° , ∠N = 45°
(iv)

∠L = 60° , ∠M = 60° , ∠N = 60°
(v)

∠L = 50.06° , ∠M = 64.97° , ∠N = 64.97°

Question 8

8.

In an equilateral triangle ABC, the side BC is trisected at D. Then

(i)
7 AD

2

=

9 AB

2
(ii)
7 AD

2

=

3 AB

2
(iii)
3 AD

2

=

7 AB

2
(iv)
9 AD

2

=

7 AB

2

Question 9

9.

With the data in the figure, △HIK ≅ △IHJ by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 10

10.

With the data in the given figure, △TGH ≅ △UHG by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

ASA Congruency

Question 11

11.

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

(i)

∠J = 33.69° , ∠K = 90° , ∠L = 56.31°
(ii)

∠J = 45° , ∠K = 90° , ∠L = 45°
(iii)

∠J = 94.41° , ∠K = 35.91° , ∠L = 49.68°
(iv)

∠J = 62.97° , ∠K = 54.07° , ∠L = 62.96°
(v)

∠J = 96.92° , ∠K = 37.92° , ∠L = 45.16°

Question 12

12.

The side opposite to the vertex
R

(i)

RV
(ii)

ST
(iii)

RS
(iv)

US
(v)

TR

Question 13

13.

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

(i)

JK = 14 cm , KL = 21 cm , LJ = 13 cm
(ii)

JK = 13 cm , KL = 12 cm , LJ = 12 cm
(iii)

JK = 11 cm , KL = 10 cm , LJ = 14.87 cm
(iv)

JK = 12 cm , KL = 12 cm , LJ = 16.97 cm
(v)

JK = 11 cm , KL = 13 cm , LJ = 11 cm

Question 14

14.

Find the measures of the three sides suitable to form a triangle?

(i)

KL = 13 cm , LM = 13 cm , MK = 13 cm
(ii)

KL = 6 cm , LM = 17 cm , MK = 8 cm
(iii)

KL = 20 cm , LM = 5 cm , MK = 14 cm
(iv)

KL = 18 cm , LM = 8 cm , MK = 6 cm
(v)

KL = 6 cm , LM = 16 cm , MK = 5 cm

Question 15

15.

Which of the following are measures of a right angled triangle ?

(i)

∠D = 60° , ∠E = 60° , ∠F = 60°
(ii)

∠D = 68.49° , ∠E = 68.49° , ∠F = 43.02°
(iii)

∠D = 132.72° , ∠E = 21.55° , ∠F = 25.73°
(iv)

∠D = 46.95° , ∠E = 61.26° , ∠F = 71.79°
(v)

∠D = 56.31° , ∠E = 90° , ∠F = 33.69°

Question 16

16.

The vertex opposite to the side
MN

(i)

P
(ii)

NO
(iii)

M
(iv)

L

Question 17

17.

With the data in the figure, △FHI ≅ △HFG by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 18

18.

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

(i)

∠H = 57.2° , ∠I = 57.2° , ∠J = 65.6°
(ii)

∠H = 103.34° , ∠I = 41.56° , ∠J = 35.1°
(iii)

∠H = 45° , ∠I = 90° , ∠J = 45°
(iv)

∠H = 57.61° , ∠I = 57.61° , ∠J = 64.78°
(v)

∠H = 37.57° , ∠I = 90° , ∠J = 52.43°

Question 19

19.

Two angles of a triangle measure 61° and 53° respectively. Find the measure of the third angle of the triangle

(i)

65°
(ii)

64°
(iii)

67°
(iv)

66°
(v)

68°

Question 20

20.

With the given data in the figure, △TFG ≅ △SGF by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 21

21.

If all the three angles of a triangle are of the same measure, find the measure of each of the angles.

(i)

61°
(ii)

58°
(iii)

59°
(iv)

62°
(v)

60°

Question 22

22.

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

(i)

△JLM ≅ △JKL
(ii)

△JML ≅ △KLJ
(iii)

△JLM ≅ △LJK
(iv)

△JML ≅ △JKL
(v)

△JLM ≅ △JLK

Question 23

23.

With the data in the given figure, △IKJ ≅ △JLI by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 24

24.

Find the unknown marked angles in the following figure

(i)

x

=

111°

,

y

=

111°
(ii)

x

=

114°

,

y

=

114°
(iii)

x

=

112°

,

y

=

112°
(iv)

x

=

115°

,

y

=

115°
(v)

x

=

113°

,

y

=

113°

Question 25

25.

With the data in the figure, △JNM ≅ △KNL by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Assignment Key