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)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency

Question 5

5.

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

(i)

△EFG ≅ △SQR
(ii)

△EFG ≅ △QRS
(iii)

△EFG ≅ △SRQ
(iv)

△EFG ≅ △RSQ
(v)

△FGE ≅ △QRS

Question 6

6.

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

a)	∠H = ∠S
b)	GH = UT
c)	∠G = ∠T
d)	∠F = ∠S
e)	GH = TS

(i)

{d,c}
(ii)

{b,a,c}
(iii)

{a,c,e}
(iv)

{b,d,e}
(v)

{b,a}

Question 7

7.

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

a)	∠T = 73°
b)	∠T = 63°
c)	∠S = 73°
d)	∠U = 44°
e)	∠U = 63°
f)	∠S = 44°

(i)

{e,b,c}
(ii)

{b,c,d}
(iii)

{a,b}
(iv)

{e,c}
(v)

{f,a,d}

Question 8

8.

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

a)	WU = 16 cm
b)	UV = 11 cm
c)	VW = 16 cm
d)	UV = 16 cm
e)	WU = 15 cm
f)	VW = 11 cm

(i)

{a,d}
(ii)

{d,e,f}
(iii)

{b,d,e}
(iv)

{c,a,f}
(v)

{b,e}

Question 9

9.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 10

10.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 11

11.

With the given data in the figure, △FEH ≅ △GDH by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 12

12.

With the given data in the figure, △DEF ≅ △FGD by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 13

13.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 14

14.

With the given data in the figure, △UEF ≅ △TFE by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 15

15.

With the data in the given figure, △GJO ≅ △HIO by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 16

16.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 17

17.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 18

18.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 19

19.

In the given figure, △KIJ is an isosceles triangle. HL ⟂ IJ passing through K. △HKI ≅ △HKJ by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 20

20.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 21

21.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 22

22.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 23

23.

With the data in the given figure, △MON ≅ △NPM 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, △NOR ≅ △NPQ by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 25

25.

In the given figure, △CDE is an obtuse angled triangle. △CDF ≅ △EDF by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 26

26.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 27

27.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 28

28.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 29

29.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 31

31.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 32

32.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 33

33.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 34

34.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 35

35.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 36

36.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 37

37.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 38

38.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 39

39.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 41

41.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 42

42.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 43

43.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 44

44.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 45

45.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 46

46.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 48

48.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 49

49.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 50

50.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Assignment Key