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Worksheets

Congruent Figures

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
Which statement is always true about two congruent polygons?
a)
Corresponding sides are always congruent.
b)
Corresponding angles are always right angles.
c)
Corresponding sides are always parallel.
d)
They are the same shape but different size.
2.
Which statement is always true about two congruent polygons?
a)
The number of angles & sides is always the same.
b)
Corresponding sides are always parallel.
c)
Corresponding angles are always right angles.
d)
They can be different sizes.
3.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

4.
What does x equal?
a)
9
b)
11
c)
17
5.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

6.
a)
A
b)
B
c)
C
d)
D
7.

 JK  ?\overline{JK}\ \cong\ ?  

a)

 KX\overline{KX}  

b)

 JK\overline{JK}  

c)

 XJ\overline{XJ}  

d)

 KI\overline{KI}  

8.

 CB  ?\overline{CB}\ \cong\ ?  

a)

 I\angle I  

b)

 GI\overline{GI}  

c)

 IB\overline{IB}  

d)

 BG\overline{BG}  

9.

 LK  ?\overline{LK}\ \cong\ ?  

a)

 JE\overline{JE}  

b)

 JF\overline{JF}  

c)

 EF\overline{EF}  

d)

 KJ\overline{KJ}  

10.

 ML  ?\overline{ML}\ \cong\ ?  

a)

 CL\overline{CL}  

b)

 LD\overline{LD}  

c)

 DC\overline{DC}  

d)

 NL\overline{NL}  

11.

 BC  ?\overline{BC}\ \cong\ ?  

a)

 XW\overline{XW}  

b)

 XY\overline{XY}  

c)

 YW\overline{YW}  

d)

 BC\overline{BC}  

12.

 D  ?\angle D\ \cong\ ?  

a)

 X\angle X  

b)

 W\angle W  

c)

 Y\angle Y  

d)

 C\angle C  

13.

 NLM  ?\angle NLM\ \cong\ ?  

a)

 DLC\angle DLC  

b)

 D\angle D  

c)

 N\angle N  

d)

 C\angle C  

14.

 EJF  ?\angle EJF\ \cong\ ?  

a)

 L\angle L  

b)

 E\angle E  

c)

 LJK\angle LJK  

d)

 F\angle F  

15.

 CBD  ?\angle CBD\ \cong\ ?  

a)

 G\angle G  

b)

 I\angle I  

c)

 IBG\angle IBG  

d)

 C\angle C  

16.

 I ?\angle I\cong\ ?  

a)

 X\angle X  

b)

 XKJ\angle XKJ  

c)

 KJX\angle KJX  

d)

 IJK\angle IJK  

17.

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

18.

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

19.

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

20.

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