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Worksheets

Congruent Figures

Total questions: 24

Worksheet time: 2hrs 42mins

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.
a)
4m
b)
5m
c)
3m
d)
4.5m
5.
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
6.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

7.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

8.

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

a)

Q and W

b)

R and Z

c)

S and Z

d)

T and P

9.

Tell whether the two figures are congruent. Explain your reasoning.

a)

Yes, same size and shape

b)

No, not same size

c)

No, not same shape

10.

Tell whether the two figures are congruent. Explain your reasoning.

a)

Yes, same size and shape

b)

No, not same size

c)

No, not same shape

11.

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

a)

12 ft

b)

20 ft

c)

32 ft

12.

The fronts of the houses are identical. Which angle of JKLMN corresponds to angle D?

a)

J

b)

K

c)

L

d)

M

e)

N

13.

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

14.
Are these shapes congruent?
a)
Yes
b)
No
15.

What angle corresponds to ∠B\angle B  ?

a)

∠X\angle X  

b)

∠Y\angle Y  

c)

∠Z\angle Z  

d)

∠C\angle C  

16.

What angle corresponds to ∠A\angle A  ?

a)

∠X\angle X  

b)

∠Y\angle Y  

c)

∠Z\angle Z  

d)

∠B\angle B  

17.

What angle corresponds to ∠C\angle C  ?

a)

∠X\angle X  

b)

∠Y\angle Y  

c)

∠Z\angle Z  

d)

∠A\angle A  

18.

What side corresponds to AB ?

a)

 XZ

b)

 XY

c)

 YZ

d)

 AB

19.

What side corresponds to YZ ?

a)

BC

b)

CA

c)

AB

d)

XY

20.

What side corresponds to XZ?

a)

BC

b)

AB

c)

CA

d)

XY

21.

What angle corresponds to ∠A\angle A  ?

a)

∠E\angle E  

b)

∠F\angle F  

c)

∠D\angle D  

d)

∠B\angle B  

22.

What angle corresponds to ∠C\angle C  ?

a)

∠E\angle E  

b)

∠F\angle F  

c)

∠D\angle D  

d)

∠B\angle B  

23.

What side corresponds to AC  ?

a)

 DF

b)

 ED

c)

 FE

d)

 AB

24.

What side corresponds to BA?

a)

 DF

b)

FE

c)

 ED

d)

 AB