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4.1 - 4.2: Congruent Figures & SSS and SAS

Total questions: 28

Worksheet time: 21mins

Name
Class
Date
1.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
2.

 JK‾ ≅ ?\overline{JK}\ \cong\ ?  

a)

 KX‾\overline{KX}  

b)

 JK‾\overline{JK}  

c)

 XJ‾\overline{XJ}  

d)

 KI‾\overline{KI}  

3.

 CB‾ ≅ ?\overline{CB}\ \cong\ ?  

a)

 ∠I\angle I  

b)

 GI‾\overline{GI}  

c)

 IB‾\overline{IB}  

d)

 BG‾\overline{BG}  

4.

 LK‾ ≅ ?\overline{LK}\ \cong\ ?  

a)

 JE‾\overline{JE}  

b)

 JF‾\overline{JF}  

c)

 EF‾\overline{EF}  

d)

 KJ‾\overline{KJ}  

5.

 ML‾ ≅ ?\overline{ML}\ \cong\ ?  

a)

 CL‾\overline{CL}  

b)

 LD‾\overline{LD}  

c)

 DC‾\overline{DC}  

d)

 NL‾\overline{NL}  

6.

 BC‾ ≅ ?\overline{BC}\ \cong\ ?  

a)

 XW‾\overline{XW}  

b)

 XY‾\overline{XY}  

c)

 YW‾\overline{YW}  

d)

 BC‾\overline{BC}  

7.

 ∠D ≅ ?\angle D\ \cong\ ?  

a)

 ∠X\angle X  

b)

 ∠W\angle W  

c)

 ∠Y\angle Y  

d)

 ∠C\angle C  

8.

 ∠NLM ≅ ?\angle NLM\ \cong\ ?  

a)

 ∠DLC\angle DLC  

b)

 ∠D\angle D  

c)

 ∠N\angle N  

d)

 ∠C\angle C  

9.

 ∠EJF ≅ ?\angle EJF\ \cong\ ?  

a)

 ∠L\angle L  

b)

 ∠E\angle E  

c)

 ∠LJK\angle LJK  

d)

 ∠F\angle F  

10.

 ∠CBD ≅ ?\angle CBD\ \cong\ ?  

a)

 ∠G\angle G  

b)

 ∠I\angle I  

c)

 ∠IBG\angle IBG  

d)

 ∠C\angle C  

11.

 ∠I≅ ?\angle I\cong\ ?  

a)

 ∠X\angle X  

b)

 ∠XKJ\angle XKJ  

c)

 ∠KJX\angle KJX  

d)

 ∠IJK\angle IJK  

12.

Write a congruence statement for the triangles.

a)

ΔTUV≅ΔLJV\Delta TUV\cong\Delta LJV

b)

ΔTUV≅ΔJVL\Delta TUV\cong\Delta JVL

c)

ΔUTV≅ΔLVJ\Delta UTV\cong\Delta LVJ

d)

ΔUTV≅ΔJVL\Delta UTV\cong\Delta JVL

13.

Write a congruence statement for the triangles.

a)

ΔIHG≅ΔQRP\Delta IHG\cong\Delta QRP

b)

ΔHIG≅ΔQPR\Delta HIG\cong\Delta QPR

c)

ΔIHG≅ΔRQP\Delta IHG\cong\Delta RQP

d)

ΔGHI≅ΔQPR\Delta GHI\cong\Delta QPR

14.

Write a congruence statement for the triangles.

a)

ΔRQS≅ΔWRV\Delta RQS\cong\Delta WRV

b)

ΔQSR≅ΔVRW\Delta QSR\cong\Delta VRW

c)

ΔRQS≅ΔRVW\Delta RQS\cong\Delta RVW

d)

ΔSRQ≅ΔVWR\Delta SRQ\cong\Delta VWR

15.

Write a congruence statement for the triangles.

a)

ΔSRT≅ΔWUS\Delta SRT\cong\Delta WUS

b)

ΔSRT≅ΔSUW\Delta SRT\cong\Delta SUW

c)

ΔSTR≅ΔSUW\Delta STR\cong\Delta SUW

d)

ΔTSR≅ΔUSW\Delta TSR\cong\Delta USW

16.

Write a congruence statement for the triangles.

a)

ΔLMK≅ΔYXZ\Delta LMK\cong\Delta YXZ

b)

ΔLMK≅ΔZYX\Delta LMK\cong\Delta ZYX

c)

ΔMLK≅ΔZYX\Delta MLK\cong\Delta ZYX

d)

ΔMLK≅ΔXYZ\Delta MLK\cong\Delta XYZ

17.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
18.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
19.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
20.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
21.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
22.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
23.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

24.

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

a)

SSS

b)

SAS

c)

ASA

d)

HL

25.

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

26.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
27.

Determine which congruency theorem proves the triangles congruent.

a)

SAS

b)

SSS

c)

Neither

28.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB