EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency

Question 5

5.

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

(i)

△CDE ≅ △TUS
(ii)

△CDE ≅ △UST
(iii)

△CDE ≅ △STU
(iv)

△DEC ≅ △STU
(v)

△CDE ≅ △UTS

Question 6

6.

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

a)	∠B = ∠T
b)	CD = UT
c)	∠C = ∠U
d)	∠D = ∠T
e)	CD = VU

(i)

{e,c}
(ii)

{a,e,d}
(iii)

{a,b}
(iv)

{a,b,c}
(v)

{b,c,d}

Question 7

7.

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

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

(i)

{b,a}
(ii)

{a,e,f}
(iii)

{d,b,f}
(iv)

{c,e}
(v)

{c,a,e}

Question 8

8.

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

a)	UV = 11 cm
b)	UV = 15 cm
c)	TU = 11 cm
d)	TU = 15 cm
e)	VT = 14 cm
f)	VT = 11 cm

(i)

{d,b,c}
(ii)

{d,c}
(iii)

{a,b}
(iv)

{b,c,e}
(v)

{f,a,e}

Question 9

9.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 10

10.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 11

11.

With the given data in the figure, △EDG ≅ △FCG by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 12

12.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 13

13.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 14

14.

With the given data in the figure, △SGH ≅ △RHG by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 15

15.

With the data in the given figure, △HKO ≅ △IJO by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 16

16.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 17

17.

With the data in the given figure, △VQR ≅ △URQ by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 18

18.

With the data in the given figure, △UIJ ≅ △VJI by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 19

19.

In the given figure, △GEF is an isosceles triangle. DH ⟂ EF passing through G. △DGE ≅ △DGF by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 20

20.

In the given figure, ABCD is a square and △QAB is an equilateral triangle. △QDA ≅ △QCB by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SSS Congruency

Question 21

21.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 22

22.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 23

23.

With the data in the given figure, △OQP ≅ △PRO by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 24

24.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

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)

ASA Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 26

26.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 28

28.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 29

29.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 30

30.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 31

31.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 32

32.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 33

33.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 35

35.

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

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 36

36.

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

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 37

37.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 38

38.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 39

39.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 40

40.

With the data in the figure, △CDF ≅ △DCE by which property?

(i)

SSS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 41

41.

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

(i)

not congruent
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 42

42.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SAS Congruency

Question 43

43.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 44

44.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 45

45.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 46

46.

With the data in the figure, △OPS ≅ △OQT by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Question 47

47.

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

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SAS Congruency

Question 48

48.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 49

49.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 50

50.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Assignment Key