EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency

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.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency

Question 5

5.

Which of the following are true?

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

(i)

{c,d}
(ii)

{e,f,c}
(iii)

{a,d,c}
(iv)

{a,c}
(v)

{b,d}

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 triangle is a polygonal region.
d)	A circle is a polygonal region.
e)	A semi-circle is a polygonal region.

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{a,b}
(v)

{d,c}

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 congruent, then they are similar too.
d)	If two figures are similar, then they are congruent too.
e)	Congruent figures have same area.

(i)

{b,a}
(ii)

{b,a,c}
(iii)

{b,d,e}
(iv)

{d,c}
(v)

{a,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)

{b,a}
(ii)

{a,c}
(iii)

{b,c,a}
(iv)

{d,c}
(v)

{b,d,a}

Question 9

9.

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)

Area of trapezium GHJK is thrice the area of △FKJ

b)

c)

All four small triangles have equal areas

d)

e)

Area of △FGH = 4 times area of △IJK

(i)

{b,a}
(ii)

{b,a,c}
(iii)

{d,c}
(iv)

{a,c,e}
(v)

{b,d,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,e,a}
(iv)

{c,b}
(v)

{a,b,d,e}

Question 11

11.

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

(i)

△FGH ≅ △RSQ
(ii)

△FGH ≅ △QRS
(iii)

△FGH ≅ △SRQ
(iv)

△GHF ≅ △QRS
(v)

△FGH ≅ △SQR

Question 12

12.

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

a)	CD = RQ
b)	CD = QP
c)	∠B = ∠P
d)	∠C = ∠Q
e)	∠D = ∠P

(i)

{a,b}
(ii)

{a,b,d}
(iii)

{a,c,e}
(iv)

{c,d}
(v)

{b,d,e}

Question 13

13.

In the given figure, △CDE ≅ △SRQ. Which of the following are true?

a)	∠R = 64°
b)	∠S = 64°
c)	∠Q = 74°
d)	∠S = 74°
e)	∠R = 41°
f)	∠Q = 41°

(i)

{a,d,f}
(ii)

{e,b,f}
(iii)

{b,a}
(iv)

{c,d}
(v)

{c,a,d}

Question 14

14.

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

a)	ST = 12 cm
b)	TU = 15 cm
c)	ST = 15 cm
d)	TU = 12 cm
e)	US = 15 cm
f)	US = 13 cm

(i)

{a,c}
(ii)

{b,d}
(iii)

{e,a,f}
(iv)

{c,d,f}
(v)

{b,c,d}

Question 15

15.

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

(i)

△HJK ≅ △JHI
(ii)

△HJK ≅ △HIJ
(iii)

△HKJ ≅ △HIJ
(iv)

△HJK ≅ △HJI
(v)

△HKJ ≅ △IJH

Question 16

16.

With the data in the given figure, △ABD ≅ △ACD by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 17

17.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 18

18.

With the given data in the figure, △IHK ≅ △JGK by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

RHS Congruency

Question 19

19.

With the given data in the figure, △BCD ≅ △DEB by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

SAS Congruency

Question 20

20.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 21

21.

With the given data in the figure, △QEF ≅ △PFE by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 22

22.

With the data in the given figure, △EHO ≅ △FGO by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 23

23.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 24

24.

With the data in the given figure, △HCD ≅ △GDC by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

RHS Congruency

Question 25

25.

With the data in the given figure, △RBC ≅ △SCB by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 26

26.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 27

27.

In the given figure, BCDE is a square and △QBC is an equilateral triangle. △QEB ≅ △QDC by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SAS Congruency

Question 28

28.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

SAS Congruency

Question 29

29.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 30

30.

With the data in the given figure, △PRQ ≅ △QSP by which property?

(i)

not congruent
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 31

31.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 32

32.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 33

33.

With the data in the given figure, △AOB ≅ △AOC by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 34

34.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 35

35.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 36

36.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 37

37.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 38

38.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 39

39.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 40

40.

With the data in the figure, △AOB ≅ △DOC by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 41

41.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 42

42.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 43

43.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 44

44.

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

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 45

45.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 46

46.

With the data in the figure, △IOJ ≅ △KOL by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 47

47.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 48

48.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 49

49.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 50

50.

With the data in the figure, △BCF ≅ △CBG by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

RHS Congruency

Question 51

51.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 52

52.

With the data in the figure, △FJI ≅ △GJH 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, △LMP ≅ △LNQ by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 54

54.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 55

55.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 56

56.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 57

57.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(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 1
(iii)

fig 4
(iv)

fig 2

Question 59

59.

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

(i)

fig 2
(ii)

fig 4
(iii)

fig 3
(iv)

fig 1

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