EduSahara™ Worksheet

Question 1

1.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 2

2.

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

(i)

∠G = 132.72° , ∠H = 25.73° , ∠I = 21.55°
(ii)

∠G = 40.24° , ∠H = 90° , ∠I = 49.76°
(iii)

∠G = 45° , ∠H = 90° , ∠I = 45°
(iv)

∠G = 74.85° , ∠H = 49.32° , ∠I = 55.83°
(v)

∠G = 67.97° , ∠H = 52.62° , ∠I = 59.41°

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency

Question 4

4.

With the data in the figure, △DOE ≅ △FOG by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 5

5.

In the given figure, find the value of x.

(i)

x

=

26.5°
(ii)

x

=

29.5°
(iii)

x

=

25.5°
(iv)

x

=

27.5°
(v)

x

=

28.5°

Question 6

6.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

∠D = 60° , ∠E = 60° , ∠F = 60°
(ii)

∠D = 45° , ∠E = 90° , ∠F = 45°
(iii)

∠D = 38.94° , ∠E = 70.53° , ∠F = 70.53°
(iv)

∠D = 53.13° , ∠E = 67.38° , ∠F = 59.49°
(v)

∠D = 51.84° , ∠E = 90° , ∠F = 38.16°

Question 8

8.

The foot of a ladder resting on a wall from the foot of the wall is 13 m. If the height of the top of the ladder from ground is 15 m, find the length of the ladder

(i)

21.85 m
(ii)

20.85 m
(iii)

18.85 m
(iv)

17.85 m
(v)

19.85 m

Question 9

9.

Identify the figure below

(i)

nonagon
(ii)

circle
(iii)

pentagon
(iv)

triangle
(v)

quadrilateral

Question 10

10.

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

(i)
7 AD

2

=

3 AB

2
(ii)
3 AD

2

=

7 AB

2
(iii)
7 AD

2

=

9 AB

2
(iv)
9 AD

2

=

7 AB

2

Question 11

11.

In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.

(i)

B

=

45°

,

C

=

52°

,

D

=

83°
(ii)

B

=

45°

,

C

=

54°

,

D

=

81°
(iii)

B

=

47°

,

C

=

54°

,

D

=

79°
(iv)

B

=

43°

,

C

=

54°

,

D

=

83°
(v)

B

=

43°

,

C

=

56°

,

D

=

81°

Question 12

12.

In the given figure, calculate the value of x.

(i)

x

=

146°
(ii)

x

=

145°
(iii)

x

=

148°
(iv)

x

=

144°
(v)

x

=

147°

Question 13

13.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 14

14.

Which of the following are measures of a scalene triangle ?

(i)

BC = 13 cm , CD = 13 cm , DB = 13 cm
(ii)

BC = 12 cm , CD = 13 cm , DB = 12 cm
(iii)

BC = 13 cm , CD = 14 cm , DB = 13 cm
(iv)

BC = 12 cm , CD = 12 cm , DB = 16.97 cm
(v)

BC = 11 cm , CD = 13 cm , DB = 14 cm

Question 15

15.

The sides of the triangle are

(i)

EF

,

FD

,

DE
(ii)

DE

,

EC

,

CD
(iii)

FG

,

GE

,

EF
(iv)

EG

,

GD

,

DE
(v)

DF

,

FC

,

CD

Question 16

16.

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

(i)

A

=

62°

,

B

=

60°

,

C

=

58°
(ii)

A

=

60°

,

B

=

58°

,

C

=

62°
(iii)

A

=

58°

,

B

=

62°

,

C

=

60°
(iv)

A

=

58°

,

B

=

60°

,

C

=

62°
(v)

A

=

60°

,

B

=

60°

,

C

=

60°

Question 17

17.

Which of the following are measures of an equilateral triangle ?

(i)

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

IJ = 15 cm , JK = 15 cm , KI = 21.21 cm
(iii)

IJ = 11 cm , JK = 13 cm , KI = 17.03 cm
(iv)

IJ = 10 cm , JK = 13 cm , KI = 12 cm
(v)

IJ = 12 cm , JK = 15 cm , KI = 12 cm

Question 18

18.

In the given figure, HIJK is a rhombus. Which of the following are true?

a)

b)

HI

2
+
IJ

2
=
HJ

2

c)

IJ

2
+
JK

2
=
IK

2

d)

e)

(i)

{b,a}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{a,e}
(v)

{c,e,a}

Question 19

19.

With the data in the given figure, △HKI ≅ △HKJ by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 20

20.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 21

21.

In the given figure, O is a point in the interior of the rectangle DEFG. Then

(i)
OD

2

−

OF

2

=

OE

2

−

OG

2
(ii)
OD

2

+

OF

2

=

OE

2

+

OG

2
(iii)
OD

2

+

OE

2

+

OF

2

+

OG

2

=

DE

2

+

EF

2

+

FG

2

+

GD

2
(iv)
OD

2

+

OE

2

+

OF

2

+

OG

2

=

DF

2

+

EG

2

Question 22

22.

With the data in the given figure, △RDE ≅ △SED by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠A = 97.18° , ∠B = 41.41° , ∠C = 41.41°
(ii)

∠A = 72.62° , ∠B = 62.96° , ∠C = 44.42°
(iii)

∠A = 60° , ∠B = 60° , ∠C = 60°
(iv)

∠A = 54.56° , ∠B = 62.72° , ∠C = 62.72°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 24

24.

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

(i)

∠B = 119.46° , ∠C = 30.27° , ∠D = 30.27°
(ii)

∠B = 38.16° , ∠C = 90° , ∠D = 51.84°
(iii)

∠B = 60° , ∠C = 60° , ∠D = 60°
(iv)

∠B = 55.3° , ∠C = 76.33° , ∠D = 48.37°
(v)

∠B = 68.68° , ∠C = 52.02° , ∠D = 59.3°

Question 25

25.

In the given figure, in △FGH, 'O' is a point inside the triangle. OI ⟂ GH, OJ ⟂ FH and OK ⟂ FG. Then

(i)
FK

2

+

GI

2

+

HJ

2

=

OF

2

+

OG

2

+

OH

2

+

OI

2

+

OJ

2

+

OK

2
(ii)
FK

2

+

GI

2

+

HJ

2

=

OF

2

+

OG

2

+

OH

2

−

OI

2

−

OJ

2

−

OK

2
(iii)
FK

2

+

GI

2

+

HJ

2

=

FG

2

+

IH

2

+

HF

2

−

GK

2

−

HI

2

−

JF

2
(iv)
FK

2

+

GI

2

+

HJ

2

=

OK

2

+

OJ

2

+

OI

2

Assignment Key