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Total questions: 39

Worksheet time: 44mins

Name
Class
Date
1.

Are the 2 triangles congruent by SSS and give a congruence statement

a)

Yes ΔADB ≅ΔCDB\Delta ADB\ \cong\Delta CDB

b)

Yes ΔADB ≅ΔCBD\Delta ADB\ \cong\Delta CBD

c)

No

d)

Yes ΔBAD≅ΔBDC\Delta BAD\cong\Delta BDC

2.

Are these triangles congruent by SSS? Give a congruence statement

a)

Yes ΔACB≅ΔXYZ\Delta ACB\cong\Delta XYZ

b)

No

c)

Yes ΔCBA ≅ΔYXZ\Delta CBA\ \cong\Delta YXZ

d)

Yes ΔCBA≅ΔYZX\Delta CBA\cong\Delta YZX

3.

Are these triangles congruent by SSS?

a)

Yes

b)

NO

4.

Are these triangles congruent by SSS?

a)

Yes

b)

No

5.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
6.

Which statement would make these 2 triangles congruent by SSS?

a)

DE‾ ≅AB‾\overline{DE}\ \cong\overline{AB}

b)

ED‾≅AB‾\overline{ED}\cong\overline{AB}

c)

BA‾≅ED‾\overline{BA}\cong\overline{ED}

d)

CA‾≅CE‾\overline{CA}\cong\overline{CE}

7.

Which statement will make ΔDNG ≅ ΔPNG\Delta DNG\ \cong\ \Delta PNG  by SSS?

a)

N is the midpoint of  DP‾\overline{DP}  

b)

∠D≅∠P\angle D\cong\angle P  

c)

PG‾ ≅DG‾\overline{PG}\ \cong\overline{DG}  

d)

GN‾ ⊥ DP‾\overline{GN}\ \perp\ \overline{DP}  

8.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
9.

What is the value of y?

a)

20

b)

40

c)

13

d)

7

10.

Based on the picture, which congruence statement is FALSE?

a)

ΔXYZ≅ΔZWX\Delta XYZ\cong\Delta ZWX

b)

ΔWZX≅ΔYXZ\Delta WZX\cong\Delta YXZ

c)

ΔWXZ≅ΔYXZ\Delta WXZ\cong\Delta YXZ

d)

ΔZXY≅ΔXZW\Delta ZXY\cong\Delta XZW

11.

Are the 2 triangles congruenct by SSS? If yes, write a congruence statement

a)

Yes ΔPNM ≅ΔTQR\Delta PNM\ \cong\Delta TQR

b)

Yes ΔMNP≅ΔRTQ\Delta MNP\cong\Delta RTQ

c)

No

d)

Yes ΔPMN ≅ΔRQT\Delta PMN\ \cong\Delta RQT

12.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
13.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
14.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
15.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
16.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
17.

Which congruency statement can be written for the triangles pictured?

a)

ΔACB≅ΔABD\Delta ACB\cong\Delta ABD

b)

ΔBAC≅ΔBAD\Delta BAC\cong\Delta BAD

c)

ΔCAB≅ΔDBA\Delta CAB\cong\Delta DBA

d)

ΔADB≅ΔBCA\Delta ADB\cong\Delta BCA

18.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

19.

Use the congruency statement to answer the following: 

∠F=?\angle F=?  

a)

∠H\angle H  

b)

∠I\angle I

c)

∠G\angle G  

d)

not congruent to another angle

20.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
21.

Determine which congruency theorem proves the triangles congruent.

a)

SAS

b)

SSS

c)

Neither

22.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

23.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

24.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

25.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

26.

Which congruency statement can be written for the triangles pictured?

a)

ΔLEO≅ΔOVE\Delta LEO\cong\Delta OVE

b)

ΔOEV≅ΔOLE\Delta OEV\cong\Delta OLE

c)

ΔOVL≅ΔOLV\Delta OVL\cong\Delta OLV

d)

ΔOLE≅ΔOVE\Delta OLE\cong\Delta OVE

27.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

28.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

MK‾ =GI‾\overline{MK}\ =\overline{GI}

b)

∠GIH = ∠MKL\angle GIH\ =\ \angle MKL

c)

∠MLK=∠GHI\angle MLK=\angle GHI

29.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

RT‾ =XZ‾\overline{RT}\ =\overline{XZ}

b)

∠RST = ∠XYZ\angle RST\ =\ \angle XYZ

c)

SR‾ =YX‾\overline{SR}\ =\overline{YX}

30.
a)
SSS
b)
AAA
c)
ASA
d)
SAS
31.
a)
SAA
b)
SAS
c)
ASA
32.
a)
AAA
b)
SAS
c)
SSS
d)
SSA
33.
a)
ASA
b)
SAS
c)
SSA
34.
a)
ASA
b)
SAS
c)
SAA
35.
a)
SAS
b)
SSA
36.
a)
SAS
b)
SAA
c)
ASA
d)
AAA
37.
a)
SAS
b)
AAA
c)
ASA
d)
SAA
38.
Which is NOT a Shortcut that proves triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
39.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent