EduSahara™ Worksheet

Question 1

1.

The point of intersection of the bisectors of the interior angle and the two exterior opposite angles of a triangle is called

(i)

excentre
(ii)

median
(iii)

circumcentre
(iv)

incentre
(v)

orthocentre

Question 2

2.

The side opposite to the vertex
V

(i)

UY
(ii)

WU
(iii)

UV
(iv)

VW
(v)

XV

Question 3

3.

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

(i)

∠M = 75.31° , ∠N = 64.53° , ∠O = 40.16°
(ii)

∠M = 33.69° , ∠N = 90° , ∠O = 56.31°
(iii)

∠M = 57.12° , ∠N = 78.46° , ∠O = 44.42°
(iv)

∠M = 96.89° , ∠N = 31.5° , ∠O = 51.61°
(v)

∠M = 60° , ∠N = 60° , ∠O = 60°

Question 4

4.

The vertex opposite to the side
UV

(i)

X
(ii)

VW
(iii)

T
(iv)

U

Question 5

5.

a)

b)

c)

d)

e)

(i)

{b,a,d}
(ii)

{c,d}
(iii)

{a,d,e}
(iv)

{b,c,e}
(v)

{b,a}

Question 6

6.

In the given figure , if IF ⟂ GH and ∠FGI = 41.13°, find ∠HFI

(i)

36.49°
(ii)

33.49°
(iii)

34.49°
(iv)

35.49°
(v)

32.49°

Question 7

7.

With the data in the given figure, △MNP ≅ △NMO by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 8

8.

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

(i)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(ii)

∠O = 52.02° , ∠P = 59.3° , ∠Q = 68.68°
(iii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iv)

∠O = 106.26° , ∠P = 36.87° , ∠Q = 36.87°
(v)

∠O = 75.31° , ∠P = 40.16° , ∠Q = 64.53°

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

OP = 14 cm , PQ = 14 cm , QO = 19.8 cm
(ii)

OP = 15 cm , PQ = 10 cm , QO = 15 cm
(iii)

OP = 11 cm , PQ = 11 cm , QO = 11 cm
(iv)

OP = 13 cm , PQ = 15 cm , QO = 14 cm
(v)

OP = 12 cm , PQ = 15 cm , QO = 12 cm

Question 10

10.

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

(i)

x

=

22.22°

,

y

=

50.12°
(ii)

x

=

25.22°

,

y

=

53.12°
(iii)

x

=

26.22°

,

y

=

54.12°
(iv)

x

=

24.22°

,

y

=

52.12°
(v)

x

=

23.22°

,

y

=

51.12°

Question 11

11.

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

(i)

∠M = 40.91° , ∠N = 90° , ∠O = 49.09°
(ii)

∠M = 137.92° , ∠N = 21.04° , ∠O = 21.04°
(iii)

∠M = 45° , ∠N = 90° , ∠O = 45°
(iv)

∠M = 57.61° , ∠N = 57.61° , ∠O = 64.78°
(v)

∠M = 68.68° , ∠N = 59.3° , ∠O = 52.02°

Question 12

12.

The line joining each vertex to the mid-point of the opposite side of a triangle is called

(i)

excentre
(ii)

centroid
(iii)

altitude
(iv)

incentre
(v)

median

Question 13

13.

In the given figure, BCDE is a square and △QBC is an equilateral triangle. △QEB ≅ △QDC by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

SAS Congruency

Question 14

14.

The angles of a triangle ABC are in the ratio 15 : 16 : 29. Find the measure of each angle of the triangle

(i)

A

=

43°

,

B

=

48°

,

C

=

89°
(ii)

A

=

45°

,

B

=

48°

,

C

=

87°
(iii)

A

=

47°

,

B

=

48°

,

C

=

85°
(iv)

A

=

43°

,

B

=

50°

,

C

=

87°
(v)

A

=

45°

,

B

=

46°

,

C

=

89°

Question 15

15.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency

Question 16

16.

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

(i)

x

=

56°

,

y

=

36°

,

z

=

92°
(ii)

x

=

60°

,

y

=

34°

,

z

=

90°
(iii)

x

=

58°

,

y

=

32°

,

z

=

94°
(iv)

x

=

58°

,

y

=

34°

,

z

=

92°
(v)

x

=

56°

,

y

=

34°

,

z

=

94°

Question 17

17.

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

(i)

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

IJ = 10 cm , JK = 15 cm , KI = 18.03 cm
(iii)

IJ = 12 cm , JK = 12 cm , KI = 12 cm
(iv)

IJ = 13 cm , JK = 24 cm , KI = 15 cm
(v)

IJ = 13 cm , JK = 10 cm , KI = 12 cm

Question 18

18.

Find the unknown angles in the following figure

(i)

G

=

45°

,

H

=

45°
(ii)

G

=

42°

,

H

=

42°
(iii)

G

=

43°

,

H

=

43°
(iv)

G

=

44°

,

H

=

44°
(v)

G

=

41°

,

H

=

41°

Question 19

19.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

145°
(ii)

x

=

118°

,

y

=

149°
(iii)

x

=

117°

,

y

=

148°
(iv)

x

=

115°

,

y

=

146°
(v)

x

=

116°

,

y

=

147°

Question 20

20.

In the given figure, in △DEF, 'O' is a point inside the triangle. OG ⟂ EF, OH ⟂ DF and OI ⟂ DE. Then

(i)
DI

2

+

EG

2

+

FH

2

=

DH

2

+

FG

2

+

EI

2
(ii)
DI

2

+

EG

2

+

FH

2

=

OG

2

+

OH

2

+

OI

2
(iii)
DI

2

+

EG

2

+

FH

2

=

OI

.

OG

+

OG

.

OH

+

OH

.

OI
(iv)
DI

2

+

EG

2

+

FH

2

=

OD

.

OE

+

OE

.

OF

+

OF

.

OD

Question 21

21.

With the data in the figure, △CDF ≅ △DCE by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 22

22.

In the given figure, △ABC is an acute angled triangle and AD ⟂ BC. Then

(i)
AC

2

=

AB

2

+

BC

2

−

2

BC

.

BD
(ii)
AC

2

=

AB

2

+

BC

2

−

AD

2
(iii)
AC

2

=

AB

2

+

BC

2

+

2

AB

.

BC
(iv)
AC

2

=

AB

2

+

BC

2

+

2

BC

.

BD
(v)
AC

2

=

AB

2

+

BC

2

−

2

AB

.

BC

Question 23

23.

With the data in the given figure, △GJI ≅ △GHI by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 24

24.

In the given figure, find ∠NOM

(i)

23°
(ii)

24°
(iii)

25°
(iv)

26°
(v)

22°

Question 25

25.

With the data in the given figure, △IJL ≅ △IKL by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Assignment Key