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17 CK SAS OR SSS

Total questions: 98

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
3.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
6.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
8.

Are the triangles congruent by SSS or SAS?

a)

Not Congruent

b)

SSS

c)

SAS

d)

SSA

9.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
10.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
11.

ΔLMO ≅ _______ by ______

a)

ΔNOM , SSS

b)

ΔMON , SSS

c)

ΔNOM , SAS

d)

Cannot Be Determined

12.
How are the triangles congruent?
a)
SAS
b)
SSS
c)
AAS
d)
HL
13.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
14.

ΔWXZ ≅ Δ_____ by _____

a)

ΔWXY , SAS

b)

ΔWXY , ASA

c)

ΔWZY , SAS

d)

Cannot Be Determined

15.

ΔLMO ≅ _______ by ______

a)

ΔNOM , SSS

b)

ΔMON , SSS

c)

ΔNOM , SAS

d)

Cannot Be Determined

16.

Which postulate can we use to prove the two triangles are congruent?

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

17.

Which Triangle Congruence Criteria do the triangles meet?

a)

ASA

b)

SAS

c)

SSS

18.

Which Triangle Congruence Criteria do the triangles meet?

a)

ASA

b)

SAS

c)

SSS

19.

Which Triangle Congruence Criteria do the triangles meet?

a)

ASA

b)

SAS

c)

SSS

20.

ΔABC ≅ Δ_____ by _____

a)

ΔDFE , SAS

b)

ΔDFE , SSA

c)

ΔDEF , SSA

d)

Cannot Be Determined

21.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
22.
Which segment is congruent to EF? 
a)
HG
b)
HF
c)
GF
d)
IE
23.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
24.
What shortcut would you use to prove the triangles congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
25.
What shortcut would you use to prove the triangles congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
26.
What shortcut would you use to prove the triangles congruent?
a)
Not enough information
b)
SAS
c)
ASA
d)
SSA
27.
How are these triangles congruent?
a)
AAA
b)
Not enough information
c)
ASA
d)
HL
28.

ΔCZH ≅ Δ_____ by _____

a)

ΔZET , AAA

b)

ΔEZT , AAA

c)

ΔZET , SAS

d)

Cannot Be Determined

29.

ΔABC ≅ Δ_____ by _____

a)

ΔDFE , SAS

b)

ΔDFE , SSA

c)

ΔDEF , SSA

d)

Cannot Be Determined

30.

ΔLMO ≅ _______ by ______

a)

ΔNOM , SSS

b)

ΔMON , SSS

c)

ΔNOM , SAS

d)

Cannot Be Determined

31.

ΔEDC ≅ Δ_____ by _____

a)

ΔEDB , SSS

b)

ΔEBC , SSS

c)

ΔEBC , AAS

d)

Cannot Be Determined

32.

ΔXVW ≅ Δ_____ by _____

a)

ΔTUS , SSS

b)

ΔUTS , SSS

c)

ΔUST , SSS

d)

Cannot Be Determined

33.

ΔADC ≅ Δ_____ by _____

a)

ΔCBA , SAS

b)

ΔABC , ASA

c)

ΔCBA , ASA

d)

Cannot Be Determined

34.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
35.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
36.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
37.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
38.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
39.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
40.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
41.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
42.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
43.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
44.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
45.

  RS\overline{RS}\cong  _____   because ________

a)

UT\overline{UT}  because given by marks

b)

not congruent to anything

c)

UT\overline{UT}  because reflexive/shared side

46.

RS\overline{RS}\cong  _____

a)

VT\overline{VT}  

b)

UV\overline{UV}  

c)

UT\overline{UT}  

d)

TU\overline{TU}  

47.

RSUT\overline{RS}\cong\overline{UT}  and  RSVUTV\angle RSV\cong\angle UTV What else is congruent?

a)

no other congruent parts

b)

SVRTVU\angle SVR\cong\angle TVU  ; vertical angles

c)

RVUV\overline{RV}\cong\overline{UV}  ; Shared side/reflexive

48.

ACBNYP\angle ACB\cong\angle NYP  because ______

a)

vertical angles

b)

not congruent

c)

given by marks

49.

What congruence statement is true? 

a)

BCDC\overline{BC}\cong\overline{DC}

b)

BACDAC\angle BAC\cong\angle DAC  

c)

ABCADC\angle ABC\cong\angle ADC

d)

ABAD\overline{AB}\cong\overline{AD}

50.

ACAC\overline{AC}\cong\overline{AC}  for what reason?

a)

they are not congruent

b)

given

c)

shared side/reflexive

51.

Select the congruence statements that can be made from the triangle:

a)

MERE\overline{ME}\cong\overline{RE}

b)

TMPR\overline{TM}\cong\overline{PR}

c)

MTERPE\angle MTE\cong\angle RPE

52.

TEMPER\angle TEM\cong\angle PER   because_______

a)

False. They are not congruent

b)

shared side/reflexive

c)

vertical angles

d)

given by mark

53.

Select correct congruence statement with the correct reasoning.

a)

AC\overline{AC} is NOT congruent to BD\overline{BD}

b)

ACBD\overline{AC}\cong\overline{BD} ; Shared side

c)

ACBD\overline{AC}\cong\overline{BD} ; given by mark

d)

ACDB\overline{AC}\cong\overline{DB} ; given by mark

54.

Select all congruence statements that are true.

a)

CFDF\overline{CF}\cong\overline{DF}  ; shared side

b)

CFDF\overline{CF}\cong\overline{DF}  ; given by marks

c)

AFCBFD\angle AFC\cong\angle BFD  ; vertical angles

d)

CADB\overline{CA}\cong\overline{DB}  ; given by marks

55.

Select the statement that is true

a)

QPRSPR\angle QPR\cong\angle SPR  

b)

PQPS\overline{PQ}\cong\overline{PS}  

c)

QRSR\overline{QR}\cong\overline{SR}  

d)

RR\angle R\cong\angle R  

56.

RQPRSP\angle RQP\cong\angle RSP   and  QRSR\overline{QR}\cong\overline{SR}   What else is congruent and why?

a)

Nothing else

b)

PQPS\overline{PQ}\cong\overline{PS}  ; given by mark

c)

PRPR\overline{PR}\cong\overline{PR}  ; shared side/reflexive

d)

PP\angle P\cong\angle P  ; vertical angles

57.

Select all the correct congruence statements

a)

YZBC\overline{YZ}\cong\overline{BC}

b)

XZAC\overline{XZ}\cong\overline{AC}

c)

YXBA\overline{YX}\cong\overline{BA}

58.

BAYX\overline{BA}\cong\overline{YX}  and  XZAC\overline{XZ}\cong\overline{AC}   What else is congruent?

a)

Nothing else

b)

XYZABC\angle XYZ\cong\angle ABC  

c)

YZBC\overline{YZ}\cong\overline{BC}  

d)

XZYACB\angle XZY\cong\angle ACB  

59.

Select the true statement.

a)

WZYX\overline{WZ}\cong\overline{YX} , shared side

b)

Not enough information

c)

ZXZX\overline{ZX}\cong\overline{ZX} , shared side

d)

ZYXZWX\angle ZYX\cong\angle ZWX , vertical angles

60.

Select the true statement.

a)

DBCB\overline{DB}\cong\overline{CB} , given

b)

Not enough information

c)

ABAB\overline{AB}\cong\overline{AB} , shared side

d)

DABCAB\angle DAB\cong\angle CAB , vertical angles

61.

Select all true statements.

a)

ZYCB\overline{ZY}\cong\overline{CB} , given

b)

ZYBC\overline{ZY}\cong\overline{BC}  ; given

c)

ABXY\overline{AB}\cong\overline{XY} , given

d)

BACYXZ\angle BAC\cong\angle YXZ , vertical angles

62.

Side AB\overline{AB}  is congruent to (a)  

63.

PQR\angle PQR  is congruent to \angle   (a)  

64.

PRQ\angle PRQ  is congruent to \angle   (a)  

65.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
66.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

67.

Which side of ΔYDW corresponds with side AC in ΔABC  

a)

Side YW

b)

Side DW

c)

Side YD

68.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
69.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
70.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
71.
What is the value of x?
a)
51
b)
49
c)
78
72.

In a ____________ triangle one angle is exactly 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

73.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

74.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

75.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

76.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

77.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

78.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

79.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

80.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

81.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

82.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

83.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

84.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

85.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
SSS
c)
Both SSS and SAS
d)
Not necessarily congruent
86.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
87.
Which side corresponds to CB?
a)
ZY
b)
YX
c)
XZ
d)
AC
88.
a)
Congruent by ASA
b)
Congruent by HL
c)
Congruent by SAS
d)
Not Necessarily Congruent
89.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
SAS
c)
AAS
d)
ASA
90.
a)
SAS
b)
SSA
c)
AAS
d)
SSS
91.

Select the congruency statement that matches the pair of congruent triangles.

a)

A

b)

B

c)

C

d)

D

92.

Complete each congruency statement by selecting the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

93.
Find x. 
a)
90
b)
55
c)
35
d)
180
94.
Remember order matters. Which of the following is true?
a)
∆FGH ≅ ∆VHW
b)
∆HFG ≅ ∆HWV
c)
∆HGF ≅ ∆VHW
d)
∆FGH ≅ ∆VWH
95.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
96.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
97.
Which segment is congruent to EF? 
a)
HG
b)
HF
c)
GF
d)
IE
98.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F