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Congruence and Similarity

Total questions: 30

Worksheet time: 40mins

Name
Class
Date
1.
ABC∼XYZ
Which angles corresponds to ∠A
a)
∠X
b)
∠Y
c)
∠Z
d)
∠B
2.
ABC∼XYZ
Which angles corresponds to ∠B
a)
∠X
b)
∠Y
c)
∠Z
d)
∠A
3.
ABC∼XYZ
Which angles corresponds to ∠C
a)
∠X
b)
∠Y
c)
∠Z
d)
∠A
4.
EFGH∼MATB
Which angles corresponds to ∠E
a)
∠M
b)
∠T
c)
∠B
d)
∠A
5.
EFGH∼MATB
Which angles corresponds to ∠F
a)
∠M
b)
∠T
c)
∠B
d)
∠A
6.
EFGH∼MATB
Which angles corresponds to ∠H
a)
∠M
b)
∠T
c)
∠B
d)
∠A
7.
QRST∼XZWY
Which side corresponds to QR
a)
XZ
b)
ZW
c)
WY
d)
XY
8.
QRST∼XZWY
Which side corresponds to RS
a)
XZ
b)
ZW
c)
WY
d)
XY
9.
What is another name for ∠LMN
a)
∠Bob
b)
∠L
c)
∠M
d)
∠N
10.
QRST∼XZWY
Which side corresponds to QT
a)
XZ
b)
ZW
c)
WY
d)
XY
11.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
12.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
13.
If AB = BC and BC = CD, then CD = AB is an example of what?
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
Transformative Property
14.
Complete the congruence statement:
a)
CDE
b)
ECD
c)
DCE
d)
CED
15.
Find the value of x:
a)
58.3
b)
1.7
c)
21
d)
18
16.
a)
20 
b)
40
c)
60
d)
80
17.
a)
105
b)
75
c)
70
d)
65
18.
a)
2
b)
5
c)
7
19.
FD = ≅
a)
IK
b)
KJ
c)
JI
d)
EF
20.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
21.
∠U = ≅
a)
∠F
b)
∠G
c)
∠E
22.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
23.
x = 
a)
90°
b)
65°
c)
25°
24.
x = 
a)
60
b)
70
c)
50
d)
25
25.
x = 
a)
24
b)
40
c)
32
26.
If ∆PIG ≅ ∆COW, ∠P + ∠G = ?
a)
∠C + ∠W
b)
∠O + ∠W
c)
∠C + ∠O
27.
Which statement is the congruence statement for the 2 triangles?
a)
∆EFG ≅ ∆MLF
b)
∆EFG ≅ ∆MFL
c)
∆EGF ≅ ∆FML
d)
∆GEF ≅ ∆FML
28.
Two shapes that are similar are also congruent.
a)
True
b)
False
29.
Sides in similar figures must be proportional.  
a)
True
b)
False 
30.
The pair of polygons at the right are congruent. What is the m<J?
a)
45
b)
90
c)
135
d)
145