EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

SSS 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)

SSS Congruency
(iv)

RHS Congruency

Question 5

5.

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

(i)

△FGH ≅ △UST
(ii)

△FGH ≅ △STU
(iii)

△FGH ≅ △TUS
(iv)

△FGH ≅ △UTS
(v)

△GHF ≅ △STU

Question 6

6.

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

a)	DE = RQ
b)	∠D = ∠R
c)	DE = SR
d)	∠E = ∠Q
e)	∠C = ∠Q

(i)

{c,a}
(ii)

{c,a,b}
(iii)

{c,e,d}
(iv)

{a,b,d}
(v)

{e,b}

Question 7

7.

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

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

(i)

{f,a,d}
(ii)

{e,c}
(iii)

{a,b}
(iv)

{e,b,c}
(v)

{b,c,d}

Question 8

8.

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

a)	QR = 16 cm
b)	SQ = 16 cm
c)	RS = 15 cm
d)	QR = 15 cm
e)	RS = 16 cm
f)	SQ = 12 cm

(i)

{b,a}
(ii)

{d,a,c}
(iii)

{e,b,f}
(iv)

{d,c}
(v)

{a,c,f}

Question 9

9.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 10

10.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 11

11.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 12

12.

With the given data in the figure, △ABC ≅ △CDA by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 13

13.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 14

14.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 15

15.

With the data in the given figure, △FIO ≅ △GHO by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 16

16.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 17

17.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 18

18.

With the data in the given figure, △QIJ ≅ △RJI by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 19

19.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 20

20.

In the given figure, FGHI is a square and △SFG is an equilateral triangle. △SIF ≅ △SHG by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 21

21.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 22

22.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 23

23.

With the data in the given figure, △EGF ≅ △FHE by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 24

24.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 25

25.

In the given figure, △BCD is an obtuse angled triangle. △BCE ≅ △DCE by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 26

26.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 27

27.

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

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 28

28.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 29

29.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 30

30.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 31

31.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 32

32.

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 33

33.

With the data in the figure, △FOG ≅ △IOH by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 34

34.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 35

35.

With the data in the figure, △EGH ≅ △GEF by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 36

36.

With the data in the figure, △ADB ≅ △ADC by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 37

37.

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

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 38

38.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 39

39.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 40

40.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 41

41.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 42

42.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 43

43.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 44

44.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 45

45.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 46

46.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 47

47.

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

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 48

48.

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

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

ASA Congruency

Question 49

49.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 50

50.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Assignment Key