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Chapter 8-1 Congruent Figures

Total questions: 25

Worksheet time: 20mins

Name
Class
Date
1.
a)
B
b)
A
c)
D
d)
C
2.
a)
3 inches
b)
4 inches
c)
5 inches
d)
90 inches
3.
a)
A
b)
B
c)
C
d)
D
4.

 JK  ?\overline{JK}\ \cong\ ?  

a)

 KX\overline{KX}  

b)

 JK\overline{JK}  

c)

 XJ\overline{XJ}  

d)

 KI\overline{KI}  

5.

 CB  ?\overline{CB}\ \cong\ ?  

a)

 I\angle I  

b)

 GI\overline{GI}  

c)

 IB\overline{IB}  

d)

 BG\overline{BG}  

6.

 LK  ?\overline{LK}\ \cong\ ?  

a)

 JE\overline{JE}  

b)

 JF\overline{JF}  

c)

 EF\overline{EF}  

d)

 KJ\overline{KJ}  

7.

 ML  ?\overline{ML}\ \cong\ ?  

a)

 CL\overline{CL}  

b)

 LD\overline{LD}  

c)

 DC\overline{DC}  

d)

 NL\overline{NL}  

8.

 BC  ?\overline{BC}\ \cong\ ?  

a)

 XW\overline{XW}  

b)

 XY\overline{XY}  

c)

 YW\overline{YW}  

d)

 BC\overline{BC}  

9.

 D  ?\angle D\ \cong\ ?  

a)

 X\angle X  

b)

 W\angle W  

c)

 Y\angle Y  

d)

 C\angle C  

10.

 NLM  ?\angle NLM\ \cong\ ?  

a)

 DLC\angle DLC  

b)

 D\angle D  

c)

 N\angle N  

d)

 C\angle C  

11.

 EJF  ?\angle EJF\ \cong\ ?  

a)

 L\angle L  

b)

 E\angle E  

c)

 LJK\angle LJK  

d)

 F\angle F  

12.

 CBD  ?\angle CBD\ \cong\ ?  

a)

 G\angle G  

b)

 I\angle I  

c)

 IBG\angle IBG  

d)

 C\angle C  

13.

 I ?\angle I\cong\ ?  

a)

 X\angle X  

b)

 XKJ\angle XKJ  

c)

 KJX\angle KJX  

d)

 IJK\angle IJK  

14.

Write a congruence statement for the triangles.

a)

ΔTUVΔLJV\Delta TUV\cong\Delta LJV

b)

ΔTUVΔJVL\Delta TUV\cong\Delta JVL

c)

ΔUTVΔLVJ\Delta UTV\cong\Delta LVJ

d)

ΔUTVΔJVL\Delta UTV\cong\Delta JVL

15.

Write a congruence statement for the triangles.

a)

ΔIHGΔQRP\Delta IHG\cong\Delta QRP

b)

ΔHIGΔQPR\Delta HIG\cong\Delta QPR

c)

ΔIHGΔRQP\Delta IHG\cong\Delta RQP

d)

ΔGHIΔQPR\Delta GHI\cong\Delta QPR

16.

Write a congruence statement for the triangles.

a)

ΔRQSΔWRV\Delta RQS\cong\Delta WRV

b)

ΔQSRΔVRW\Delta QSR\cong\Delta VRW

c)

ΔRQSΔRVW\Delta RQS\cong\Delta RVW

d)

ΔSRQΔVWR\Delta SRQ\cong\Delta VWR

17.

Write a congruence statement for the triangles.

a)

ΔSRTΔWUS\Delta SRT\cong\Delta WUS

b)

ΔSRTΔSUW\Delta SRT\cong\Delta SUW

c)

ΔSTRΔSUW\Delta STR\cong\Delta SUW

d)

ΔTSRΔUSW\Delta TSR\cong\Delta USW

18.

Write a congruence statement for the triangles.

a)

ΔLMKΔYXZ\Delta LMK\cong\Delta YXZ

b)

ΔLMKΔZYX\Delta LMK\cong\Delta ZYX

c)

ΔMLKΔZYX\Delta MLK\cong\Delta ZYX

d)

ΔMLKΔXYZ\Delta MLK\cong\Delta XYZ

19.
a)
24 ft
b)
32 ft
c)
20 ft
d)
12 ft
20.
a)
4m
b)
5m
c)
3m
d)
4.5m
21.
What does x equal?
a)
9
b)
11
c)
17
22.
Solve for x
a)
8
b)
4
c)
12
d)
6
23.

If Triangle XYZ is congruent to Triangle MNL, then what is m∠L?

a)

33

b)

12

c)

124

d)

23

24.

If Triangle XYZ is congruent to Triangle MNL, then what is m∠Y?

a)

33

b)

12

c)

124

d)

23

25.

If Triangle XYZ is congruent to Triangle MNL, then what is m∠M?

a)

33

b)

12

c)

124

d)

23