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Worksheets

Congruent Figures

Total questions: 25

Worksheet time: 26mins

Name
Class
Date
1.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
2.
∠U = ≅
a)
∠F
b)
∠G
c)
∠E
3.
a)
3 inches
b)
5 inches
c)
90 inches
d)
4 inches
4.
x = 
a)
9
b)
11
c)
17
5.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
6.
a)
4m
b)
5m
c)
3m
d)
4.5m
7.
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
8.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

9.

The figures are congruent. Name one pair of corresponding angles.

a)

∠\angle Q and ∠\angle W

b)

∠\angle R and ∠\angle Z

c)

∠\angle S and ∠\angle Z

d)

∠\angle T and ∠\angle P

10.

The fronts of the houses are identical. What is the length of side LM?

a)

12 ft

b)

20 ft

c)

32 ft

11.

The fronts of the houses are identical. Side AB is congruent to side AE. What is the length of side AB?

a)

12 ft

b)

20 ft

c)

32 ft

12.

 CB‾ ≅ ?\overline{CB}\ \cong\ ?  

a)

 ∠I\angle I  

b)

 GI‾\overline{GI}  

c)

 IB‾\overline{IB}  

d)

 BG‾\overline{BG}  

13.

 LK‾ ≅ ?\overline{LK}\ \cong\ ?  

a)

 JE‾\overline{JE}  

b)

 JF‾\overline{JF}  

c)

 EF‾\overline{EF}  

d)

 KJ‾\overline{KJ}  

14.

 ML‾ ≅ ?\overline{ML}\ \cong\ ?  

a)

 CL‾\overline{CL}  

b)

 LD‾\overline{LD}  

c)

 DC‾\overline{DC}  

d)

 NL‾\overline{NL}  

15.

 BC‾ ≅ ?\overline{BC}\ \cong\ ?  

a)

 XW‾\overline{XW}  

b)

 XY‾\overline{XY}  

c)

 YW‾\overline{YW}  

d)

 BC‾\overline{BC}  

16.

 ∠D ≅ ?\angle D\ \cong\ ?  

a)

 ∠X\angle X  

b)

 ∠W\angle W  

c)

 ∠Y\angle Y  

d)

 ∠C\angle C  

17.

 ∠NLM ≅ ?\angle NLM\ \cong\ ?  

a)

 ∠DLC\angle DLC  

b)

 ∠D\angle D  

c)

 ∠N\angle N  

d)

 ∠C\angle C  

18.

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

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)

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

21.

 ∠I≅ ?\angle I\cong\ ?  

a)

 ∠X\angle X  

b)

 ∠XKJ\angle XKJ  

c)

 ∠KJX\angle KJX  

d)

 ∠IJK\angle IJK  

22.

In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?

a)

angle E

b)

angle F

c)

angle G

d)

angle H

23.
a)
B
b)
A
c)
D
d)
C
24.
a)
A
b)
B
c)
C
d)
D
25.

Are the following congruent? Why or why not?

a)

Yes, they have the same shape & same size.

b)

No, they have the same shape & different sizes.

c)

No, they have different shapes.