EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency

Question 5

5.

Which of the following are true?

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

(i)

{a,f}
(ii)

{b,f,a}
(iii)

{c,f}
(iv)

{b,a}
(v)

{d,e,a}

Question 6

6.

Which of the following are true?

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

(i)

{a,c}
(ii)

{b,e}
(iii)

{d,a,c}
(iv)

{b,e,c}
(v)

{c,e}

Question 7

7.

Which of the following are true?

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

(i)

{c,e,d}
(ii)

{a,b,d}
(iii)

{c,a,b}
(iv)

{e,b}
(v)

{c,a}

Question 8

8.

Which of the following are true?

a)	Area of the union of two polygonal region is the sum of the individual area.
b)	Area of the union of two polygonal region is not equal to the sum of the individual area.
c)	A polygonal region can be divided into a finite number of triangles in a unique way.
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)

{a,c,b}
(ii)

{b,d}
(iii)

{a,d,b}
(iv)

{a,b}
(v)

{c,d}

Question 9

9.

In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?

a)

Area of △JKL = 4 times area of △MNO

b)

c)

d)

All four small triangles have equal areas

e)

Area of trapezium KLNO is thrice the area of △JON

(i)

{c,d}
(ii)

{b,a}
(iii)

{b,a,d}
(iv)

{a,d,e}
(v)

{b,c,e}

Question 10

10.

In the given figure, points N , O and P are the mid-points of sides LM, MK and KL of △KLM. Which of the following are true?

a)	△PLN ≅ △NOP
b)	△KPO ≅ △NPO
c)	△KPO ≅ △NOP
d)	△PLN ≅ △KPO
e)	△KPO ≅ △ONM

(i)

{b,e,a}
(ii)

{b,c}
(iii)

{b,d}
(iv)

{a,c,d,e}
(v)

{b,a}

Question 11

11.

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

(i)

△GHF ≅ △STU
(ii)

△FGH ≅ △UTS
(iii)

△FGH ≅ △UST
(iv)

△FGH ≅ △TUS
(v)

△FGH ≅ △STU

Question 12

12.

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

a)	∠F = ∠T
b)	∠G = ∠S
c)	FG = UT
d)	FG = TS
e)	∠E = ∠S

(i)

{e,b}
(ii)

{c,e,d}
(iii)

{c,a}
(iv)

{c,a,b}
(v)

{a,b,d}

Question 13

13.

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

a)	∠U = 73°
b)	∠T = 73°
c)	∠S = 51°
d)	∠S = 57°
e)	∠T = 51°
f)	∠U = 57°

(i)

{d,b,c}
(ii)

{e,a,f}
(iii)

{d,c}
(iv)

{a,b}
(v)

{b,c,f}

Question 14

14.

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

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

(i)

{a,d,f}
(ii)

{c,a,d}
(iii)

{c,d}
(iv)

{e,b,f}
(v)

{b,a}

Question 15

15.

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

(i)

△EGH ≅ △GEF
(ii)

△EHG ≅ △EFG
(iii)

△EGH ≅ △EGF
(iv)

△EHG ≅ △FGE
(v)

△EGH ≅ △EFG

Question 16

16.

With the data in the given figure, △LMO ≅ △LNO by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 17

17.

With the data in the given figure, △OIH ≅ △OGF by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 18

18.

With the given data in the figure, △HGJ ≅ △IFJ by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 19

19.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 20

20.

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

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 21

21.

With the given data in the figure, △QIJ ≅ △PJI by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 22

22.

With the data in the given figure, △CFO ≅ △DEO 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, △FIH ≅ △FGH by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 24

24.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 25

25.

With the data in the given figure, △RIJ ≅ △SJI by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 26

26.

In the given figure, △IGH is an isosceles triangle. FJ ⟂ GH passing through I. △FIG ≅ △FIH by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 27

27.

In the given figure, ABCD is a square and △RAB is an equilateral triangle. △RDA ≅ △RCB by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 28

28.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 29

29.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 30

30.

With the data in the given figure, △KML ≅ △LNK by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 31

31.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 32

32.

In the given figure, △KLM is an obtuse angled triangle. △KLN ≅ △MLN by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 33

33.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 34

34.

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

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 35

35.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 36

36.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 37

37.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 38

38.

With the data in the figure, △LOM ≅ △MNL by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 39

39.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 40

40.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 41

41.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 42

42.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 43

43.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 44

44.

With the data in the figure, △EHF ≅ △FGE by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 45

45.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 46

46.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 47

47.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 48

48.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 49

49.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 50

50.

With the data in the figure, △HIL ≅ △IHM by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 51

51.

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

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SAS Congruency

Question 52

52.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 53

53.

With the data in the figure, △OPS ≅ △OQT by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

ASA Congruency

Question 54

54.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 55

55.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 56

56.

With the data in the given figure, △NOQ ≅ △PQO by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 57

57.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 58

58.

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

(i)

fig 4
(ii)

fig 2
(iii)

fig 1
(iv)

fig 3

Question 59

59.

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

(i)

fig 2
(ii)

fig 3
(iii)

fig 4
(iv)

fig 1

Question 60

60.

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

(i)

fig 2
(ii)

fig 4
(iii)

fig 1
(iv)

fig 3

Assignment Key