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WorksheetsSimilarity & Congruence Review
Total questions: 70
Worksheet time: 5hrs 15mins
Name
Class
Date
1.
Are these triangles similar?
a)
Yes
b)
No
2.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
3.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
4.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
5.
What does congruent mean?
a)
corresponding sides and angles are congruent
b)
corresponding sides are proportional and corresponding angles are congruent
c)
sames shape
d)
neither sides or angles are congruent
6.
What does similar mean?
a)
corresponding sides are proportional and corresponding angles are congruent
b)
corresponding sides and angles are congruent
c)
sames shape but not the same size
d)
neither sides or angles are congruent
7.
What is length of the missing sides?
a)
7ft
b)
2ft
c)
3ft
d)
15ft
8.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
9.
What is the value of the ANGLE A (not just x)?
a)
151
b)
68
c)
171
d)
70
10.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
11.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
12.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
13.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
14.
Are the two ratios proportional?
a)
YES
b)
NO
15.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
16.
What triangle congruence criteria is shown in the given diagram?
a)
AAS
b)
ASA
c)
SSA
d)
SAS
17.
What are the 2 missing pieces of information?
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
18.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
19.
What would be the correct "given" statements for this diagram?
a)
T is the midpoint of segment BG and
∡B≅∡G
∡B≅∡G
b)
∡B≅∡G and ∡A≅∡W
c)
T is the midpoint of segment BG and ∡A≅∡W
d)
T is the midpoint of segment AW and ∡A≅∡W
20.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
21.
What is the "statement" for step 3 of the proof?
a)
AD=DA
b)
AN = AH
c)
HD=ND
d)
HD=DN
22.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
23.
What is the "reason" for step 2 of the proof?
a)
reflexive property
b)
proof
c)
SAS
≅ thrm
≅ thrm
d)
given
24.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
25.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
26.
What is the reason?
a)
Definition of Complementary
b)
Definition of 180
c)
Definition of supplementary
d)
Angle Addition
27.
Which equation would you use to find x?
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
28.
Why are the triangles similar?
a)
AA~
b)
SAS~
c)
SSS~
d)
AAS~
29.
Complete each proportion.
AB / AM = ? / AD
AB / AM = ? / AD
a)
BC
b)
AC
c)
MD
d)
MC
30.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
A
b)
B
c)
C
d)
D
41.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
a)
A
b)
B
c)
C
d)
D
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
a)
A
b)
B
c)
C
d)
D
56.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
57.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
58.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
SSS
c)
Both SSS and SAS
d)
Not necessarily congruent
59.
If angle 1 is 135 degrees, how many degrees is angle 3?
a)
45 degrees
b)
65 degrees
c)
135 degrees
d)
225 degrees
60.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
61.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
62.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
63.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
64.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
65.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
66.
A line that passes through parallel lines is called a ______________.
a)
vertical lines
b)
a passer through line
c)
transversal
d)
perpendicular line
67.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
68.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
69.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
70.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
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