EduSahara™ Worksheet

EduSahara™ Worksheet

Name : Chapter Based Worksheet

Chapter : Triangles

Grade : ICSE Grade IX

License : Non Commercial Use

Question 1

1.

In the given figure, ∠L = 59.63° and ∠M = 67.12°.

Side MN is produced to O, so that ∠MNL and ∠LNO form a linear pair.

(i)

x

=

27.62°

,

y

=

64.38°
(ii)

x

=

26.62°

,

y

=

63.38°
(iii)

x

=

25.62°

,

y

=

62.38°
(iv)

x

=

24.62°

,

y

=

61.38°
(v)

x

=

28.62°

,

y

=

65.38°

Question 2

2.

Which of the following are true?

a)	Area of the union of two polygonal region is not equal to the sum of the individual area.
b)	A polygonal region can be divided into a finite number of triangles in a unique way.
c)	Area of the union of two polygonal region is the sum of the individual area.
d)	Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.

(i)

{b,c,a}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{b,d,a}
(v)

{a,d}

Question 3

3.

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

(i)

MN = 15 cm , NO = 15 cm , OM = 21.21 cm
(ii)

MN = 10 cm , NO = 17 cm , OM = 11 cm
(iii)

MN = 15 cm , NO = 13 cm , OM = 19.85 cm
(iv)

MN = 10 cm , NO = 14 cm , OM = 10 cm
(v)

MN = 11 cm , NO = 15 cm , OM = 10 cm

Question 4

4.

The median corresponding to the side
EF

(i)

DH
(ii)

DG
(iii)

DE
(iv)

EH
(v)

FI

Question 5

5.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency

Question 6

6.

With the data in the figure, △GJH ≅ △IJH by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 7

7.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency

Question 8

8.

In below given figure, find ∠MJK

(i)

75.48°
(ii)

78.48°
(iii)

77.48°
(iv)

79.48°
(v)

76.48°

Question 9

9.

In the given figure, find ∠JKI

(i)

68°
(ii)

66°
(iii)

65°
(iv)

67°
(v)

64°

Question 10

10.

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

(i)

centroid
(ii)

excentre
(iii)

median
(iv)

orthocentre
(v)

altitude

Question 11

11.

In the given figure, △FGH ≅ △QRS. Which of the following are true?

a)	RS = 13 cm
b)	SQ = 16 cm
c)	QR = 11 cm
d)	RS = 11 cm
e)	QR = 13 cm
f)	SQ = 13 cm

(i)

{b,d,e}
(ii)

{f,a,e}
(iii)

{c,b,d}
(iv)

{c,d}
(v)

{a,b}

Question 12

12.

In △JKL, if ∠J = 60° and ∠K = ∠L, find the measure of each of the equal angles of the triangle

(i)

61°
(ii)

60°
(iii)

58°
(iv)

59°
(v)

62°

Question 13

13.

With the given data in the figure, △BCD ≅ △DEB by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 14

14.

The median corresponding to the side
CD

(i)

CG
(ii)

CD
(iii)

DG
(iv)

EH
(v)

CF

Question 15

15.

Which of the following are measures of an equilateral triangle ?

(i)

∠N = 55.3° , ∠O = 76.33° , ∠P = 48.37°
(ii)

∠N = 51.34° , ∠O = 90° , ∠P = 38.66°
(iii)

∠N = 45° , ∠O = 90° , ∠P = 45°
(iv)

∠N = 60° , ∠O = 60° , ∠P = 60°
(v)

∠N = 88.86° , ∠O = 45.57° , ∠P = 45.57°

Question 16

16.

Which of the following are measures of an isosceles triangle ?

(i)

∠B = 52.26° , ∠C = 46.46° , ∠D = 81.28°
(ii)

∠B = 47.12° , ∠C = 90° , ∠D = 42.88°
(iii)

∠B = 73.62° , ∠C = 56.25° , ∠D = 50.13°
(iv)

∠B = 60° , ∠C = 60° , ∠D = 60°
(v)

∠B = 72.44° , ∠C = 53.78° , ∠D = 53.78°

Question 17

17.

Which of the following are measures of an isosceles triangle ?

(i)

∠J = 85.98° , ∠K = 47.01° , ∠L = 47.01°
(ii)

∠J = 52.43° , ∠K = 90° , ∠L = 37.57°
(iii)

∠J = 41.8° , ∠K = 47.16° , ∠L = 91.04°
(iv)

∠J = 60° , ∠K = 60° , ∠L = 60°
(v)

∠J = 45.21° , ∠K = 83.47° , ∠L = 51.32°

Question 18

18.

In the given figure, △FGH ≅ △RQP. Which of the following are true?

a)	∠R = 50°
b)	∠R = 74°
c)	∠Q = 56°
d)	∠Q = 74°
e)	∠P = 50°
f)	∠P = 56°

(i)

{b,a}
(ii)

{e,b,f}
(iii)

{c,d}
(iv)

{a,d,f}
(v)

{c,a,d}

Question 19

19.

In the given figure, calculate the value of x.

(i)

x

=

23.5°
(ii)

x

=

22.5°
(iii)

x

=

21.5°
(iv)

x

=

24.5°
(v)

x

=

20.5°

Question 20

20.

With the data in the given figure, △OJK ≅ △NKJ by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 21

21.

With the data in the figure, △GJH ≅ △IJH by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 22

22.

In the given figure, if HK = LH, find the values of x , y , z and t

(i)

x =62.34°, y =23.7°, z =23° , t =121.17°
(ii)

x =62.34°, y =25.7°, z =26° , t =122.17°
(iii)

x =62.34°, y =25.7°, z =25° , t =121.17°
(iv)

x =62.34°, y =25.7°, z =24° , t =120.17°
(v)

x =62.34°, y =27.7°, z =27° , t =121.17°

Question 23

23.

Which of the following are measures of an equilateral triangle ?

(i)

OP = 10 cm , PQ = 10 cm , QO = 10 cm
(ii)

OP = 13 cm , PQ = 11 cm , QO = 13 cm
(iii)

OP = 15 cm , PQ = 15 cm , QO = 21.21 cm
(iv)

OP = 14 cm , PQ = 13 cm , QO = 19.1 cm
(v)

OP = 13 cm , PQ = 14 cm , QO = 15 cm

Question 24

24.

The vertex opposite to the side
FG

(i)

HI
(ii)

G
(iii)

H
(iv)

F

Question 25

25.

In the given figure , if FC ⟂ DE and ∠CDF = 57.99°, find ∠FEC

(i)

71.44°
(ii)

67.44°
(iii)

69.44°
(iv)

68.44°
(v)

70.44°

Assignment Key