EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency

Question 5

5.

Which of the following are true?

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

(i)

{d,b}
(ii)

{e,f,a}
(iii)

{c,a}
(iv)

{a,b}
(v)

{c,b,a}

Question 6

6.

Which of the following are true?

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

(i)

{c,e}
(ii)

{c,e,b}
(iii)

{a,b}
(iv)

{d,a,b}
(v)

{b,e}

Question 7

7.

Which of the following are true?

a)	Similar and congruent are not synonymous.
b)	Similar figures have same area.
c)	If two figures are similar, then they are congruent too.
d)	Congruent figures have same area.
e)	If two figures are congruent, then they are similar too.

(i)

{b,a}
(ii)

{b,a,d}
(iii)

{c,d}
(iv)

{a,d,e}
(v)

{b,c,e}

Question 8

8.

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)

{d,c}
(ii)

{b,d,a}
(iii)

{b,c,a}
(iv)

{b,a}
(v)

{a,c}

Question 9

9.

In the given figure, the area of the △EFG is x sq.cm. H,I,J are the mid-points of the sides FG , GE and EF respectively. The area of the △HIJ is

(i)
2
3

of area of △EFG
(ii)
1
3

of area of △EFG
(iii)
3
4

of area of △EFG
(iv)
1
2

of area of △EFG
(v)
1
4

of area of △EFG

Question 10

10.

If the ratio of the bases of two triangles is H : I and the ratio of the corresponding heights is J : K , the ratio of their areas in the same order is

(i)

IJ : HK
(ii)

HI : JK
(iii)

JK : HI
(iv)

HJ : IK
(v)

HK : IJ

Question 11

11.

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)

b)

Area of △BCD = 4 times area of △EFG

c)

All four small triangles have equal areas

d)

e)

Area of trapezium CDFG is thrice the area of △BGF

(i)

{a,d,e}
(ii)

{a,b,c}
(iii)

{b,c,e}
(iv)

{d,c}
(v)

{a,b}

Question 12

12.

In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?

a)	△FKJ ≅ △IJK
b)	△KGI ≅ △FKJ
c)	△FKJ ≅ △IKJ
d)	△FKJ ≅ △JIH
e)	△KGI ≅ △IJK

(i)

{c,a}
(ii)

{c,e,a}
(iii)

{c,b}
(iv)

{c,d}
(v)

{a,b,d,e}

Question 13

13.

In the given figure, which of the following is true?

(i)

△FGH ≅ △RPQ
(ii)

△FGH ≅ △RQP
(iii)

△FGH ≅ △PQR
(iv)

△GHF ≅ △PQR
(v)

△FGH ≅ △QRP

Question 14

14.

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

a)	∠P = 57°
b)	∠Q = 73°
c)	∠P = 73°
d)	∠R = 57°
e)	∠R = 51°
f)	∠Q = 51°

(i)

{b,d}
(ii)

{a,c}
(iii)

{c,d,f}
(iv)

{e,a,f}
(v)

{b,c,d}

Question 15

15.

In the given figure, △EFG ≅ △RST. Which of the following are true?

a)	ST = 14 cm
b)	RS = 14 cm
c)	TR = 12 cm
d)	RS = 12 cm
e)	ST = 12 cm
f)	TR = 16 cm

(i)

{c,a,d}
(ii)

{a,d,f}
(iii)

{b,a}
(iv)

{e,b,f}
(v)

{c,d}

Question 16

16.

In the given figure, which of the following is true?

(i)

△BED ≅ △BCD
(ii)

△BDE ≅ △DBC
(iii)

△BED ≅ △CDB
(iv)

△BDE ≅ △BCD
(v)

△BDE ≅ △BDC

Question 17

17.

With the data in the given figure, △FGI ≅ △FHI by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 18

18.

With the data in the given figure, △ODC ≅ △OBA by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 19

19.

With the given data in the figure, △JIL ≅ △KHL by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 20

20.

With the given data in the figure, △HIJ ≅ △JKH by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 21

21.

With the given data in the figure, △IJK ≅ △LKJ by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 22

22.

With the given data in the figure, △QBC ≅ △PCB by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 23

23.

With the data in the given figure, △BEO ≅ △CDO by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 24

24.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 25

25.

With the data in the given figure, △FAB ≅ △EBA by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 26

26.

With the data in the given figure, △THI ≅ △UIH by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 27

27.

In the given figure, △LJK is an isosceles triangle. IM ⟂ JK passing through L. △ILJ ≅ △ILK by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

RHS Congruency

Question 28

28.

In the given figure, HIJK is a square and △PHI is an equilateral triangle. △PKH ≅ △PJI by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 29

29.

With the data in the given figure, △GHJ ≅ △GIK by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 30

30.

With the data in the given figure, △ADB ≅ △ADC by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 31

31.

With the data in the given figure, △OQP ≅ △PRO by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 32

32.

With the data in the given figure, △NOR ≅ △NPQ by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 33

33.

In the given figure, △JKL is an obtuse angled triangle. △JKM ≅ △LKM by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 34

34.

With the data in the given figure, △COD ≅ △COE by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 35

35.

With the data in the figure, △JMK ≅ △LMK by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SAS Congruency

Question 36

36.

With the data in the figure, △ILJ ≅ △ILK by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 37

37.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 38

38.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 39

39.

With the data in the figure, △PSQ ≅ △QRP by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 40

40.

With the data in the figure, △KNL ≅ △KNM by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 41

41.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 42

42.

With the data in the figure, △FGI ≅ △GFH by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 43

43.

With the data in the figure, △DFG ≅ △FDE by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 44

44.

With the data in the figure, △ADB ≅ △ADC by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 45

45.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 46

46.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 47

47.

With the data in the figure, △COD ≅ △EOF by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 48

48.

With the data in the figure, △BCE ≅ △CBD by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 49

49.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 50

50.

With the data in the figure, △EFH ≅ △GFH by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 51

51.

With the data in the figure, △IJM ≅ △JIN by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 52

52.

With the data in the figure, △DFG ≅ △DFE by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 53

53.

With the data in the figure, △IML ≅ △JMK by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 54

54.

With the data in the figure, △NOR ≅ △NPS by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 55

55.

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

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 56

56.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 57

57.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 58

58.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 59

59.

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

(i)

fig 4
(ii)

fig 1
(iii)

fig 2
(iv)

fig 3

Question 60

60.

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

(i)

fig 1
(ii)

fig 2
(iii)

fig 4
(iv)

fig 3

Question 61

61.

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

(i)

fig 3
(ii)

fig 2
(iii)

fig 4
(iv)

fig 1

Assignment Key