EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

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

(i)

{b,c,a}
(ii)

{e,f,a}
(iii)

{d,c}
(iv)

{a,c}
(v)

{b,a}

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 triangle is a polygonal region.
d)	A circle is a polygonal region.
e)	A square is a polygonal region.

(i)

{d,a,c}
(ii)

{a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(v)

{b,e}

Question 7

7.

Which of the following are true?

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

(i)

{b,a,d}
(ii)

{a,d,e}
(iii)

{b,c,e}
(iv)

{b,a}
(v)

{c,d}

Question 8

8.

Which of the following are true?

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

{c,d}
(ii)

{a,d,b}
(iii)

{a,c,b}
(iv)

{a,b}
(v)

{b,d}

Question 9

9.

In the given figure, the area of the △LMN is x sq.cm. O,P,Q are the mid-points of the sides MN , NL and LM respectively. The area of the △OPQ is

(i)
1
2

of area of △LMN
(ii)
1
3

of area of △LMN
(iii)
1
4

of area of △LMN
(iv)
2
3

of area of △LMN
(v)
3
4

of area of △LMN

Question 10

10.

If the ratio of the bases of two triangles is B : C and the ratio of the corresponding heights is D : E , the ratio of their areas in the same order is

(i)

BD : CE
(ii)

BE : CD
(iii)

BC : DE
(iv)

CD : BE
(v)

DE : BC

Question 11

11.

In the given figure, points F , G and H are the mid-points of sides DE, EC and CD of △CDE. Which of the following are true?

a)

b)

Area of △CDE = 4 times area of △FGH

c)

Area of trapezium DEGH is thrice the area of △CHG

d)

e)

All four small triangles have equal areas

(i)

{b,c,e}
(ii)

{a,b,c}
(iii)

{a,b}
(iv)

{d,c}
(v)

{a,d,e}

Question 12

12.

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

(i)

{a,d}
(ii)

{b,c,d,e}
(iii)

{a,e,b}
(iv)

{a,c}
(v)

{a,b}

Question 13

13.

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

(i)

△DEC ≅ △STU
(ii)

△CDE ≅ △STU
(iii)

△CDE ≅ △UST
(iv)

△CDE ≅ △UTS
(v)

△CDE ≅ △TUS

Question 14

14.

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

a)	∠S = 76°
b)	∠Q = 58°
c)	∠Q = 76°
d)	∠R = 58°
e)	∠S = 47°
f)	∠R = 47°

(i)

{c,a}
(ii)

{d,a,b}
(iii)

{d,b}
(iv)

{e,c,f}
(v)

{a,b,f}

Question 15

15.

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

a)	UV = 15 cm
b)	WU = 12 cm
c)	VW = 16 cm
d)	WU = 15 cm
e)	UV = 16 cm
f)	VW = 15 cm

(i)

{e,b}
(ii)

{a,b,c}
(iii)

{d,a}
(iv)

{e,a,b}
(v)

{f,d,c}

Question 16

16.

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

(i)

△LON ≅ △LMN
(ii)

△LNO ≅ △NLM
(iii)

△LON ≅ △MNL
(iv)

△LNO ≅ △LMN
(v)

△LNO ≅ △LNM

Question 17

17.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 18

18.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 19

19.

With the given data in the figure, △LKN ≅ △MJN by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 20

20.

With the given data in the figure, △LMN ≅ △NOL by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 21

21.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 22

22.

With the given data in the figure, △UCD ≅ △TDC by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 23

23.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 24

24.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 25

25.

With the data in the given figure, △SNO ≅ △RON by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 26

26.

With the data in the given figure, △TIJ ≅ △UJI by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

RHS Congruency

Question 27

27.

In the given figure, △DBC is an isosceles triangle. AE ⟂ BC passing through D. △ADB ≅ △ADC by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 28

28.

In the given figure, LMNO is a square and △SLM is an equilateral triangle. △SOL ≅ △SNM by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 29

29.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 30

30.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 31

31.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 32

32.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 33

33.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 34

34.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 35

35.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 36

36.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 37

37.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 38

38.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 39

39.

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

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 40

40.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 41

41.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 42

42.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 43

43.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 44

44.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 45

45.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 46

46.

With the data in the figure, △HOI ≅ △JOK 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, △AOB ≅ △COD by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 48

48.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 49

49.

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

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 50

50.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 51

51.

With the data in the figure, △LMP ≅ △MLQ by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 52

52.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 53

53.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 54

54.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 55

55.

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 56

56.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 57

57.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 58

58.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 59

59.

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

(i)

fig 4
(ii)

fig 2
(iii)

fig 3
(iv)

fig 1

Question 60

60.

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

(i)

fig 1
(ii)

fig 4
(iii)

fig 2
(iv)

fig 3

Question 61

61.

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

(i)

fig 1
(ii)

fig 2
(iii)

fig 4
(iv)

fig 3

Assignment Key