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)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency

Question 5

5.

Which of the following are true?

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

(i)

{d,c}
(ii)

{a,b}
(iii)

{e,f,b}
(iv)

{b,c}
(v)

{a,c,b}

Question 6

6.

Which of the following are true?

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

(i)

{c,a,d}
(ii)

{a,d}
(iii)

{b,e}
(iv)

{b,e,d}
(v)

{d,e}

Question 7

7.

Which of the following are true?

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

(i)

{b,a}
(ii)

{d,c}
(iii)

{a,c,e}
(iv)

{b,d,e}
(v)

{b,a,c}

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)

{a,c}
(ii)

{b,d,a}
(iii)

{d,c}
(iv)

{b,a}
(v)

{b,c,a}

Question 9

9.

In the given figure, points D , E and F are the mid-points of sides BC, CA and AB of △ABC. Which of the following are true?

a)

b)

All four small triangles have equal areas

c)

d)

Area of trapezium BCEF is thrice the area of △AFE

e)

Area of △ABC = 4 times area of △DEF

(i)

{b,d,e}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{a,b,d}
(v)

{a,c,e}

Question 10

10.

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)	△OKM ≅ △JON
b)	△OKM ≅ △MNO
c)	△JON ≅ △MON
d)	△JON ≅ △NML
e)	△JON ≅ △MNO

(i)

{c,d}
(ii)

{c,a}
(iii)

{c,b}
(iv)

{c,e,a}
(v)

{a,b,d,e}

Question 11

11.

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

(i)

△BCA ≅ △RST
(ii)

△ABC ≅ △TSR
(iii)

△ABC ≅ △STR
(iv)

△ABC ≅ △TRS
(v)

△ABC ≅ △RST

Question 12

12.

In the given figure, △BCD ≅ △WVU. Which of the following are true?

a)	∠C = ∠V
b)	CD = VU
c)	CD = WV
d)	∠D = ∠U
e)	∠B = ∠U

(i)

{c,a,b}
(ii)

{c,e,d}
(iii)

{e,b}
(iv)

{c,a}
(v)

{a,b,d}

Question 13

13.

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

a)	∠P = 59°
b)	∠R = 42°
c)	∠Q = 42°
d)	∠P = 79°
e)	∠R = 59°
f)	∠Q = 79°

(i)

{a,c}
(ii)

{b,c,d}
(iii)

{b,d}
(iv)

{f,a,e}
(v)

{c,d,e}

Question 14

14.

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

a)	ST = 16 cm
b)	TU = 12 cm
c)	US = 13 cm
d)	ST = 12 cm
e)	US = 16 cm
f)	TU = 16 cm

(i)

{e,b}
(ii)

{d,a}
(iii)

{a,b,c}
(iv)

{f,d,c}
(v)

{e,a,b}

Question 15

15.

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

(i)

△KNM ≅ △KLM
(ii)

△KMN ≅ △MKL
(iii)

△KNM ≅ △LMK
(iv)

△KMN ≅ △KLM
(v)

△KMN ≅ △KML

Question 16

16.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 17

17.

With the data in the given figure, △OED ≅ △OCB by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 18

18.

With the given data in the figure, △EDG ≅ △FCG by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 19

19.

With the given data in the figure, △FGH ≅ △HIF by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SAS Congruency

Question 20

20.

With the given data in the figure, △KLM ≅ △NML by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 21

21.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 22

22.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 23

23.

With the data in the given figure, △EHG ≅ △EFG by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

RHS Congruency

Question 24

24.

With the data in the given figure, △GBC ≅ △FCB by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 25

25.

With the data in the given figure, △RGH ≅ △SHG by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 26

26.

In the given figure, △ECD is an isosceles triangle. BF ⟂ CD passing through E. △BEC ≅ △BED by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(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)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 28

28.

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

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 29

29.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SAS Congruency

Question 30

30.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 32

32.

In the given figure, △EFG is an obtuse angled triangle. △EFH ≅ △GFH by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 33

33.

With the data in the given figure, △GOH ≅ △GOI by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 34

34.

With the data in the figure, △FIG ≅ △HIG by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 35

35.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 36

36.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 37

37.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 38

38.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 39

39.

With the data in the figure, △FIG ≅ △FIH by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 40

40.

With the data in the figure, △HOI ≅ △KOJ by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 41

41.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 42

42.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 43

43.

With the data in the figure, △DGE ≅ △DGF by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 44

44.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 45

45.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 46

46.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 47

47.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 48

48.

With the data in the figure, △JKM ≅ △NLM by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 49

49.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 50

50.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 51

51.

With the data in the figure, △BDE ≅ △BDC by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 52

52.

With the data in the figure, △CGF ≅ △DGE by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 53

53.

With the data in the figure, △KLO ≅ △KMP by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 54

54.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 55

55.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 56

56.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 57

57.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 58

58.

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

(i)

fig 3
(ii)

fig 4
(iii)

fig 1
(iv)

fig 2

Question 59

59.

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

(i)

fig 2
(ii)

fig 1
(iii)

fig 3
(iv)

fig 4

Question 60

60.

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

(i)

fig 3
(ii)

fig 4
(iii)

fig 2
(iv)

fig 1

Assignment Key