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Congruent figures

Total questions: 20

Worksheet time: 17mins

Name
Class
Date
1.
What does congruent mean?
a)
angles faces and sides or two of the same things
b)
Same size and shape 
c)
same geometric angles 
d)
equal measurement 
2.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
3.
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
4.
What is the length of US?
a)
22
b)
17
c)
31
5.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
6.
What does x equal?
a)
9
b)
11
c)
17
7.
If ∆LMK ≅ ∆LMT, then
MK= ____
a)
LM
b)
K
c)
MT
d)
LT
8.

Which shapes are congruent?

a)
b)
c)
d)
9.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
10.
What triangle is congruent to EFI? 
a)
HFG
b)
GHI
c)
FHI
d)
GFH
11.
Which angle is congruent to <C? 
a)
<O
b)
<E
c)
<G
d)
<A
12.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
13.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
14.

 If ΔMPQ≅ΔABCIf\ \Delta MPQ\cong\Delta ABC  then which of the following are corresponding parts?

a)

 PQ‾\overline{PQ}  and  AB‾\overline{AB}  

b)

 ∠M and ∠P\angle M\ and\ \angle P  

c)

 ∠M and ∠B\angle M\ and\ \angle B  

d)

 QM ‾and CA‾\overline{QM\ }and\ \overline{CA}  

15.
a)

x = 54, y = 63

b)

x = 117, y = 54

c)

x = 63, y = 54

d)

x = 117, y = 63

16.



(a)  

17.



(a)  

18.



(a)  

19.



(a)  

20.

Based on the polygons shown, which of the following congruency statements is true?

a)

AB‾ ≅ LM‾\overline{AB}\ \cong\ \overline{LM}

b)

AB‾ ≅ MN‾\overline{AB}\ \cong\ \overline{MN}

c)

BC‾ ≅ LM‾\overline{BC}\ \cong\ \overline{LM}

d)

CA‾ ≅ NM‾\overline{CA}\ \cong\ \overline{NM}