EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency

Question 5

5.

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

(i)

△EFG ≅ △UVW
(ii)

△FGE ≅ △UVW
(iii)

△EFG ≅ △WVU
(iv)

△EFG ≅ △VWU
(v)

△EFG ≅ △WUV

Question 6

6.

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

a)	DE = WV
b)	∠C = ∠U
c)	∠E = ∠U
d)	DE = VU
e)	∠D = ∠V

(i)

{a,c}
(ii)

{c,d,e}
(iii)

{a,c,d}
(iv)

{a,b,e}
(v)

{b,d}

Question 7

7.

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

a)	∠W = 60°
b)	∠U = 54°
c)	∠V = 60°
d)	∠U = 67°
e)	∠W = 67°
f)	∠V = 54°

(i)

{d,c}
(ii)

{f,a,e}
(iii)

{d,b,c}
(iv)

{b,c,e}
(v)

{a,b}

Question 8

8.

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

a)	UV = 12 cm
b)	TU = 12 cm
c)	TU = 13 cm
d)	VT = 13 cm
e)	UV = 13 cm
f)	VT = 16 cm

(i)

{e,b,f}
(ii)

{b,a}
(iii)

{d,c}
(iv)

{a,c,f}
(v)

{d,a,c}

Question 9

9.

With the data in the given figure, △KLN ≅ △KMN by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 10

10.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 11

11.

With the given data in the figure, △KJM ≅ △LIM by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 12

12.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 13

13.

With the given data in the figure, △CDE ≅ △FED by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 14

14.

With the given data in the figure, △VCD ≅ △UDC by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 15

15.

With the data in the given figure, △ADO ≅ △BCO by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SAS Congruency

Question 16

16.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 17

17.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 18

18.

With the data in the given figure, △PHI ≅ △QIH by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 19

19.

In the given figure, △JHI is an isosceles triangle. GK ⟂ HI passing through J. △GJH ≅ △GJI by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 20

20.

In the given figure, ABCD is a square and △TAB is an equilateral triangle. △TDA ≅ △TCB by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 21

21.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

RHS Congruency

Question 22

22.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

RHS Congruency

Question 23

23.

With the data in the given figure, △NPO ≅ △OQN by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 24

24.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

RHS Congruency

Question 25

25.

In the given figure, △LMN is an obtuse angled triangle. △LMO ≅ △NMO by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 26

26.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 27

27.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 28

28.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

SAS Congruency

Question 29

29.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 30

30.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 31

31.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 32

32.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 33

33.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 34

34.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 35

35.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 36

36.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SAS Congruency

Question 37

37.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 38

38.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 39

39.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 41

41.

With the data in the figure, △BCE ≅ △FDE 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, △KLN ≅ △MLN by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 43

43.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 44

44.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 45

45.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 46

46.

With the data in the figure, △MNQ ≅ △MOR by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 47

47.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

ASA Congruency

Question 48

48.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 49

49.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 50

50.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Assignment Key