EduSahara™ Worksheet

Question 1

1.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency

Question 2

2.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency

Question 3

3.

Identify the property by which the two given triangles are congruent

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency

Question 5

5.

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

(i)

△CDE ≅ △RPQ
(ii)

△CDE ≅ △PQR
(iii)

△CDE ≅ △RQP
(iv)

△DEC ≅ △PQR
(v)

△CDE ≅ △QRP

Question 6

6.

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

a)	FG = VU
b)	∠F = ∠U
c)	FG = UT
d)	∠G = ∠T
e)	∠E = ∠T

(i)

{b,c,d}
(ii)

{a,b,c}
(iii)

{a,e,d}
(iv)

{a,b}
(v)

{e,c}

Question 7

7.

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

a)	∠S = 46°
b)	∠Q = 81°
c)	∠S = 52°
d)	∠R = 81°
e)	∠R = 46°
f)	∠Q = 52°

(i)

{d,c}
(ii)

{b,c,e}
(iii)

{a,b}
(iv)

{f,a,e}
(v)

{d,b,c}

Question 8

8.

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

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

(i)

{c,d}
(ii)

{f,b,e}
(iii)

{a,d,e}
(iv)

{b,a}
(v)

{c,a,d}

Question 9

9.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 10

10.

With the data in the given figure, △OKJ ≅ △OIH by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 11

11.

With the given data in the figure, △IHK ≅ △JGK by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

ASA Congruency

Question 12

12.

With the given data in the figure, △JKL ≅ △LMJ 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, △BCD ≅ △EDC by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 14

14.

With the given data in the figure, △RGH ≅ △QHG by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 15

15.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 16

16.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 17

17.

With the data in the given figure, △LGH ≅ △KHG by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 18

18.

With the data in the given figure, △PGH ≅ △QHG by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(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)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 20

20.

In the given figure, KLMN is a square and △TKL is an equilateral triangle. △TNK ≅ △TML by which property?

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 21

21.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 22

22.

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

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 23

23.

With the data in the given figure, △BDC ≅ △CEB by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SAS Congruency

Question 24

24.

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

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 25

25.

In the given figure, △IJK is an obtuse angled triangle. △IJL ≅ △KJL by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 26

26.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 27

27.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 28

28.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 29

29.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 30

30.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 31

31.

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

(i)

SSS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 32

32.

With the data in the figure, △BEC ≅ △BED by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 33

33.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 34

34.

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

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 35

35.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 36

36.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 37

37.

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

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 38

38.

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

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

RHS Congruency

Question 39

39.

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

(i)

RHS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 40

40.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 41

41.

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

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 42

42.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 43

43.

With the data in the figure, △BCF ≅ △CBG by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 44

44.

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

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 45

45.

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

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 47

47.

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

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 48

48.

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

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

ASA Congruency

Question 49

49.

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

(i)

SAS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 50

50.

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

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

SSS Congruency

Assignment Key