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Chapter 4 Review

Total questions: 59

Worksheet time: 15hrs 45mins

Name
Class
Date
1.

What is the reason for number 1?

(a)  

2.

What is the reason for number 3?

(a)  

3.

What is the reason for number 2?

(a)  

4.

Name the 2 triangles for number 4. Separate the two triangles with a comma. For example: ABC, DEF

(a)  

5.

State the reason for number 5.

(a)  

6.

What statement would go where letter B is?

a)

Because

b)

Triangles

c)

Given

d)

Prove

7.

What statement would go where letter C is?

a)

DA≅MA

b)

angle Z≅angle J

c)

MZ≅DJ

d)

angle JAD≅angle ZAM

8.
What statement would go where letter D is?
a)
These triangles are not congruent.
b)
by S.S.S.
c)
by S.A.S.
d)
by A.S.A.
9.
What statement would go where letter A is?
a)
DA≅MA
b)
angle Z≅angle J
c)
MZ≅DJ
d)
angle JAD≅angle ZAM
10.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
11.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
12.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
13.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
14.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
15.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
16.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
17.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
AAS
c)
SAS
d)
SSS
18.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
19.
All of the following prove triangles congruent except
a)
SSS
b)
SAS
c)
CPCTC
d)
HL
20.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
21.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
22.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
23.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
24.
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.
25.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
26.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
27.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
28.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
29.
Solve for x.
a)
-11
b)
9
c)
-9
d)
10
30.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
31.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
32.

Find <S

a)

A

b)

B

c)

C

d)

D

33.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
34.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
35.
a)
x = 54
b)
x = 9
c)
x = 24
d)
x = 144
36.

What is x?

a)

12

b)

11

c)

8

d)

6

37.
Determine x
a)
93
b)
71
c)
81
d)
55
38.

Find x.

a)

72

b)

67

c)

65

d)

54

39.
What is the value of x?
a)
51
b)
49
c)
78
40.
Find x
a)
90
b)
45
c)
22
d)
35
41.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
42.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
43.
Where would the largest angle of a triangle be located?
a)
Across from the longest side.
b)
Across from the shortest side
c)
I need more information to get an answer.
44.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
45.
Name the sides from LARGEST to SMALLEST
a)
KJ, KH, JH
b)
JH, KH, KJ
c)
KH, KJ, JH
d)
KH, JH, KJ
46.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
47.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
48.
Can a triangle be formed with side lengths:
10, 12, 22
a)
yes
b)
no
c)
not enough information
49.
Can a triangle be formed with side lengths:
17, 9, 30
a)
yes
b)
no
c)
not enough information
50.
What is an angle bisector?
a)
Makes two 90 degree angles
b)
splits a 90 degree angle in half
c)
splits any angle in half
d)
splits 2 sides in half
51.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
52.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
53.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
54.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
55.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
56.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
57.

In the given picture CD is the angle bisector. If angle A is 44 degrees, what is the measure of angle B? Type your answer as just a number.

(a)  

58.

In the given picture, CD is an angle bisector. What is the measure of angle CDB? Type in your answer as just a number

(a)  

59.

In the given picture, CD is an angle bisector. What is special about point D?

a)

It is a midpoint

b)

It is a median

c)

It is a midsegment

d)

It is a centroid