EduSahara™ Worksheet

Question 1

1.

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

(i)

x

=

44.27°

,

y

=

52.12°
(ii)

x

=

42.27°

,

y

=

50.12°
(iii)

x

=

40.27°

,

y

=

48.12°
(iv)

x

=

41.27°

,

y

=

49.12°
(v)

x

=

43.27°

,

y

=

51.12°

Question 2

2.

In the given figure, find ∠CGF

(i)

143°
(ii)

140°
(iii)

139°
(iv)

141°
(v)

142°

Question 3

3.

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

(i)

34.01°
(ii)

32.01°
(iii)

30.01°
(iv)

31.01°
(v)

33.01°

Question 4

4.

The side opposite to the vertex
E

(i)

FD
(ii)

GE
(iii)

DH
(iv)

EF
(v)

DE

Question 5

5.

The sides of the triangle are

(i)

HI

,

IG

,

GH
(ii)

JK

,

KI

,

IJ
(iii)

IJ

,

JH

,

HI
(iv)

HJ

,

JG

,

GH
(v)

IK

,

KH

,

HI

Question 6

6.

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

(i)

x

=

37°

,

y

=

72°

,

z

=

36°
(ii)

x

=

35°

,

y

=

72°

,

z

=

38°
(iii)

x

=

39°

,

y

=

72°

,

z

=

34°
(iv)

x

=

37°

,

y

=

70°

,

z

=

38°
(v)

x

=

35°

,

y

=

74°

,

z

=

36°

Question 7

7.

The name of the triangle is

(i)

△HIK
(ii)

△JKL
(iii)

△IJL
(iv)

△HIJ
(v)

△IJK

Question 8

8.

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

(i)

EF = 12 cm , FG = 11 cm , GE = 15 cm
(ii)

EF = 13 cm , FG = 13 cm , GE = 18.38 cm
(iii)

EF = 14 cm , FG = 13 cm , GE = 19.1 cm
(iv)

EF = 15 cm , FG = 24 cm , GE = 13 cm
(v)

EF = 10 cm , FG = 23 cm , GE = 15 cm

Question 9

9.

With the data in the given figure, △NPO ≅ △OQN by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 10

10.

Which of the following are true?

a)	A semi-circle is a polygonal region.
b)	A circle is a polygonal region.
c)	A triangle is a polygonal region.
d)	A square is a polygonal region.
e)	A sector is a polygonal region.

(i)

{e,a,c}
(ii)

{b,d,c}
(iii)

{a,c}
(iv)

{c,d}
(v)

{b,d}

Question 11

11.

With the data in the figure, △DEG ≅ △EDF by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 12

12.

Which of the following are true?

a)	Any two triangles are similar.
b)	Any two circles are congruent.
c)	Any two squares are similar.
d)	Any two squares are congruent.
e)	Any two triangles are congruent.
f)	Any two circles are similar.

(i)

{d,e,c}
(ii)

{a,f,c}
(iii)

{a,c}
(iv)

{c,f}
(v)

{b,f}

Question 13

13.

Which of the following are measures of a scalene triangle ?

(i)

CD = 11 cm , DE = 11 cm , EC = 15.56 cm
(ii)

CD = 15 cm , DE = 15 cm , EC = 15 cm
(iii)

CD = 10 cm , DE = 15 cm , EC = 12 cm
(iv)

CD = 12 cm , DE = 11 cm , EC = 12 cm
(v)

CD = 14 cm , DE = 15 cm , EC = 14 cm

Question 14

14.

The altitude corresponding to the side
MK

(i)

KL
(ii)

LO
(iii)

KO
(iv)

KN
(v)

MP

Question 15

15.

The vertex opposite to the side
PN

(i)

PQ
(ii)

R
(iii)

N
(iv)

O

Question 16

16.

Find the unknown marked angle in the following figure

(i)

x

=

47.23°
(ii)

x

=

45.23°
(iii)

x

=

44.23°
(iv)

x

=

46.23°
(v)

x

=

48.23°

Question 17

17.

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)	Area of the union of two polygonal region is the sum of the individual area.
c)	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.
d)	A polygonal region can be divided into a finite number of triangles in a unique way.

(i)

{b,c,a}
(ii)

{d,c}
(iii)

{b,d,a}
(iv)

{a,c}
(v)

{b,a}

Question 18

18.

In a right-angled triangle, the two acute angles are in the ratio 7 : 11. Find these angles.

(i)

A

=

34°

,

C

=

54°
(ii)

A

=

33°

,

C

=

53°
(iii)

A

=

35°

,

C

=

55°
(iv)

A

=

37°

,

C

=

57°
(v)

A

=

36°

,

C

=

56°

Question 19

19.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 20

20.

In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.

(i)

A

=

20°

,

B

=

80°

,

C

=

80°
(ii)

A

=

18°

,

B

=

82°

,

C

=

80°
(iii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iv)

A

=

22°

,

B

=

80°

,

C

=

78°
(v)

A

=

20°

,

B

=

78°

,

C

=

82°

Question 21

21.

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

(i)

LM = 11 cm , MN = 11 cm , NL = 14 cm
(ii)

LM = 10 cm , MN = 6 cm , NL = 19 cm
(iii)

LM = 18 cm , MN = 8 cm , NL = 8 cm
(iv)

LM = 8 cm , MN = 6 cm , NL = 18 cm
(v)

LM = 7 cm , MN = 10 cm , NL = 20 cm

Question 22

22.

In the given figure, △JHI is an isosceles triangle. GK ⟂ HI passing through J. △GJH ≅ △GJI by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 23

23.

The point of intersection of the perpendicular bisectors of the sides of a triangle is called

(i)

centroid
(ii)

circumcentre
(iii)

orthocentre
(iv)

altitude
(v)

excentre

Question 24

24.

In the given figure, which pair of triangles are not congruent ?

(i)

fig 2
(ii)

fig 1
(iii)

fig 3
(iv)

fig 4

Question 25

25.

In the given triangle, ∠F = 90°. Find the measure of ∠G and ∠H

(i)

∠G = ∠H = 47°
(ii)

∠G = ∠H = 45°
(iii)

∠G = ∠H = 44°
(iv)

∠G = ∠H = 46°
(v)

∠G = ∠H = 43°

Assignment Key