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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)

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

18.

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

19.

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

20.

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