EduSahara™ Worksheet

Question 1

1.

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

(i)

incentre
(ii)

median
(iii)

orthocentre
(iv)

excentre
(v)

altitude

Question 2

2.

In the given figure, points E , F and G are the mid-points of sides CD, DB and BC of △BCD. Which of the following are true?

a)

Area of △BCD = 4 times area of △EFG

b)

Area of trapezium CDFG is thrice the area of △BGF

c)

d)

e)

All four small triangles have equal areas

(i)

{c,a}
(ii)

{a,b,e}
(iii)

{c,a,b}
(iv)

{d,b}
(v)

{c,d,e}

Question 3

3.

In a right angled triangle, if one of the angles is 36.25°, find the third angle

(i)

63.75°
(ii)

83.75°
(iii)

53.75°
(iv)

68.75°
(v)

58.75°

Question 4

4.

In the given figure, △CDE is an obtuse angled triangle. △CDF ≅ △EDF by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 5

5.

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

(i)

∠A = 45° , ∠B = 90° , ∠C = 45°
(ii)

∠A = 68.68° , ∠B = 52.02° , ∠C = 59.3°
(iii)

∠A = 60° , ∠B = 60° , ∠C = 60°
(iv)

∠A = 49.32° , ∠B = 55.83° , ∠C = 74.85°
(v)

∠A = 102.91° , ∠B = 36.56° , ∠C = 40.53°

Question 6

6.

In the given figure, CD ∥ EF and CE = EG. Find the values of x,y and z.

(i)

x

=

30°

,

y

=

68°

,

z

=

42°
(ii)

x

=

30°

,

y

=

70°

,

z

=

40°
(iii)

x

=

28°

,

y

=

72°

,

z

=

40°
(iv)

x

=

32°

,

y

=

70°

,

z

=

38°
(v)

x

=

28°

,

y

=

70°

,

z

=

42°

Question 7

7.

With the data in the figure, △ACD ≅ △ACB by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

SAS Congruency

Question 8

8.

The side opposite to the vertex
U

(i)

TX
(ii)

VT
(iii)

TU
(iv)

UV
(v)

WU

Question 9

9.

With the data in the figure, △BFE ≅ △CFD by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 10

10.

Which of the following are measures of an isosceles triangle ?

(i)

JK = 12 cm , KL = 11 cm , LJ = 16.28 cm
(ii)

JK = 15 cm , KL = 10 cm , LJ = 15 cm
(iii)

JK = 10 cm , KL = 15 cm , LJ = 11 cm
(iv)

JK = 14 cm , KL = 14 cm , LJ = 14 cm
(v)

JK = 11 cm , KL = 10 cm , LJ = 13 cm

Question 11

11.

With the given data in the figure, △LMN ≅ △ONM by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 12

12.

In a right-angled triangle, the two acute angles are in the ratio 2 : 1. Find these angles.

(i)

A

=

62°

,

C

=

32°
(ii)

A

=

58°

,

C

=

28°
(iii)

A

=

61°

,

C

=

31°
(iv)

A

=

60°

,

C

=

30°
(v)

A

=

59°

,

C

=

29°

Question 13

13.

The vertex opposite to the side
MN

(i)

P
(ii)

L
(iii)

NO
(iv)

M

Question 14

14.

In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.

(i)

x

=

54°

,

y

=

43°

,

z

=

83°
(ii)

x

=

52°

,

y

=

47°

,

z

=

81°
(iii)

x

=

54°

,

y

=

45°

,

z

=

81°
(iv)

x

=

52°

,

y

=

45°

,

z

=

83°
(v)

x

=

56°

,

y

=

45°

,

z

=

79°

Question 15

15.

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

a)	∠T = 79°
b)	∠V = 53°
c)	∠T = 48°
d)	∠U = 53°
e)	∠V = 79°
f)	∠U = 48°

(i)

{b,c,d}
(ii)

{c,d,e}
(iii)

{f,a,e}
(iv)

{a,c}
(v)

{b,d}

Question 16

16.

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

(i)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(ii)

∠P = 58.67° , ∠Q = 80.25° , ∠R = 41.08°
(iii)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(iv)

∠P = 117.82° , ∠Q = 33.56° , ∠R = 28.62°
(v)

∠P = 44.42° , ∠Q = 62.96° , ∠R = 72.62°

Question 17

17.

In △JKL, if ∠J = 30° and ∠K = ∠L, find the measure of each of the equal angles of the triangle

(i)

74°
(ii)

77°
(iii)

76°
(iv)

75°
(v)

73°

Question 18

18.

In the given figure, ∠M = 78.06° and ∠N = 50.35°.

Side NO is produced to P, so that ∠NOM and ∠MOP form a linear pair.

(i)

x

=

24.8°

,

y

=

63.2°
(ii)

x

=

26.8°

,

y

=

65.2°
(iii)

x

=

23.8°

,

y

=

62.2°
(iv)

x

=

25.8°

,

y

=

64.2°
(v)

x

=

27.8°

,

y

=

66.2°

Question 19

19.

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

(i)

IJ = 13 cm , JK = 19 cm , KI = 13 cm
(ii)

IJ = 10 cm , JK = 10 cm , KI = 11 cm
(iii)

IJ = 13 cm , JK = 10 cm , KI = 16.4 cm
(iv)

IJ = 10 cm , JK = 10 cm , KI = 14.14 cm
(v)

IJ = 13 cm , JK = 11 cm , KI = 14 cm

Question 20

20.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 21

21.

Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle

(i)

X

=

43°

,

Y

=

92°

,

Z

=

45°
(ii)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(iii)

X

=

45°

,

Y

=

90°

,

Z

=

45°
(iv)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(v)

X

=

47°

,

Y

=

90°

,

Z

=

43°

Question 22

22.

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

(i)

DE = 13 cm , EF = 23 cm , FD = 13 cm
(ii)

DE = 15 cm , EF = 15 cm , FD = 21.21 cm
(iii)

DE = 11 cm , EF = 19 cm , FD = 11 cm
(iv)

DE = 14 cm , EF = 10 cm , FD = 17.2 cm
(v)

DE = 13 cm , EF = 13 cm , FD = 12 cm

Question 23

23.

With the data in the figure, △CFD ≅ △DEC by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 24

24.

Which of the following are measures of an equilateral triangle ?

(i)

∠C = 60° , ∠D = 60° , ∠E = 60°
(ii)

∠C = 77.36° , ∠D = 51.32° , ∠E = 51.32°
(iii)

∠C = 35.54° , ∠D = 90° , ∠E = 54.46°
(iv)

∠C = 85.46° , ∠D = 41.65° , ∠E = 52.89°
(v)

∠C = 45° , ∠D = 90° , ∠E = 45°

Question 25

25.

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

(i)

MN = 13 cm , NO = 12 cm , OM = 17.69 cm
(ii)

MN = 11 cm , NO = 12 cm , OM = 12 cm
(iii)

MN = 14 cm , NO = 14 cm , OM = 19.8 cm
(iv)

MN = 15 cm , NO = 19 cm , OM = 11 cm
(v)

MN = 13 cm , NO = 12 cm , OM = 13 cm

Assignment Key