WorksheetsChapter 5 Test Review - Triangle Congruence (Honors)
Total questions: 45
Worksheet time: 2hrs 41mins
Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
2.
What is the correct congruence statement? ΔLEU≅______
a)
ΔLGE
b)
ΔLEG
c)
ΔELG
d)
Not Congruent
3.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
4.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
6.
Which congruence statement describes the triangles?
a)
A
b)
B
c)
C
d)
D
7.
From the given congruence statement which is true?
a)
A
b)
B
c)
C
d)
D
8.
Decide whether enough information is given to show triangles congruent. If so, state the theorem or postulate you would use.
a)
A
b)
B
c)
C
d)
D
9.
Decide whether enough information is given to show triangles congruent. If so, state the theorem or postulate you would use.
a)
A
b)
B
c)
C
d)
D
10.
What congruence do you need to know in order to use the indicated postulate or theorem to conclude that the triangles are congruent?
a)
A
b)
B
c)
C
d)
D
11.
What congruence do you need to know in order to use the indicated postulate or theorem to conclude that the triangles are congruent?
a)
A
b)
B
c)
C
d)
D
12.
What congruence do you need to know in order to use the indicated postulate or theorem to conclude that the triangles are congruent?
a)
A
b)
B
c)
C
d)
D
13.
All of the following can be used to prove triangles congruent except which one?
a)
SSS
b)
SAS
c)
CPCTC
d)
HL
14.
How many ways do we have to prove triangles congruent?
a)
4
b)
5
c)
6
d)
infinite
15.
When does one use Definition of ≅ ∆'s or CPCTC?
a)
Before triangles are congruent
b)
After triangles are congruent
c)
Whenever one wants, there are no restrictions
d)
There is no such thing as CPCTC
16.
Name the postulate, if possible, that makes the triangles congruent.
a)
AAS
b)
ASA
c)
HL
d)
Not enough information
17.
In the diagram ∠ACB≅∠DBC and AC ≅DB. By what postulate or theorem can you prove ∆ACB≅∆DBC
a)
HL
b)
AAS
c)
SAS
d)
ASA
18.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
19.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
20.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
21.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
22.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
23.
What is the measure of angle 2?
a)
50
b)
65
c)
115
24.
What is the value of x?
a)
51
b)
49
c)
78
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
Use the picture to answer the question.
a)
76
b)
28
c)
152
d)
56
29.
Use the picture to answer the question.
(Find the m∠M )
a)
30
b)
60
c)
15
d)
120
30.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
31.
Find the value of each base angle.
(Note: Figure not drawn to scale)
a)
30
b)
120
c)
60
d)
180
32.
Identify any common angles or sides
a)
JK
b)
Angle MJK
c)
LK
d)
Angle MKJ
33.
Identify common angles or sides
a)
Angle E
b)
Angle D
c)
Angle F
d)
Angle DGF
34.
The red and blue triangles are congruent. Identify a common side or angle.
a)
Side XY
b)
Side XZ
c)
Angle TWZ
d)
Side YT
35.
According to the diagram at the right, which statement is true?
a)
Triangle DEH is congruent to triangle GFH by AAS
b)
Triangle DEH is congruent to triangle GFH by SAS
c)
Triangle DEF is congruent to triangle GFE by AAS
d)
Triangle DEF is congruent to triangle GFE by SAS
36.
If triangle ABC is congruent KJC, which statement is NOT necessarily true?
a)
Angle ACB is congruent to angle KCJ
b)
Angle J is congruent to angle B
c)
JK is congruent to BC
37.
Which CANNOT be used to prove that triangle MNK is congruent to triangle KLM?
a)
SAS
b)
ASA
c)
HL Theorem
38.
Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.
a)
Yes, △ABC≅△NLM
b)
Yes, △CBA≅△NLM
c)
Yes, △CBA≅△MLN
d)
No
39.
What additional information is required in order to know that the triangles are congruent by HL Theorem?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠V
c)
GI ≅ XV
d)
GH ≅ XW
40.
When can we use the HL Congruence Theorem?
a)
Right Triangles
b)
Isosceles Triangles
c)
When we have a reflexive side
d)
SSA
41.
Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.
a)
Yes, △ABC≅△YXW
b)
Yes, △CBA≅△WXY
c)
Yes, △BCA≅△XYW
d)
No
42.
Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?
a)
No
b)
Yes, SSS
c)
Yes, HL
d)
Yes, SAS
43.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
44.
What is the correct congruence statement? ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
45.
Which of the following is NOT a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
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