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Worksheets

Geo Ch. 4 Review

Total questions: 119

Worksheet time: 10hrs 55mins

Name
Class
Date
1.
Look at the sides of this triangle. What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Obtuse
2.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

3.

In a ____________ triangle one angle is exactly 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

4.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

5.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
6.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
7.

What is the value of x?

a)

130

b)

65

c)

123

d)

61.5

8.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

9.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

10.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
11.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
12.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

13.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
14.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
15.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

16.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

17.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

18.

What is the measure of angle x?

a)

70

b)

160

c)

135

d)

20

19.

Solve for x.

a)

8

b)

9

c)

13

d)

15

20.

Solve for x.

a)

24

b)

25

c)

36

d)

48

21.

Solve for x.

a)

25

b)

48

c)

60

d)

70

22.

Solve for x.

a)

48

b)

55

c)

60

d)

70

23.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
24.
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
25.
What is the measure of <C?
a)
5º
b)
25º
c)
100º
d)
125º
26.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
27.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

28.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
29.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

30.

What is the value of the < A

a)

151

b)

68

c)

80

d)

78

31.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
32.
Find x.
a)
180
b)
57
c)
61.5
d)
32.7
33.
Which segment is the base?
a)
Segment AB
b)
Segment BC
c)
Segment AC
34.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

35.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
36.

Find the value of x.

a)

1

b)

4

c)

5

d)

8

37.
Solve for x. 
a)
A
b)
B
c)
C
d)
D
38.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
39.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
40.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
41.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
42.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

43.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
44.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
45.

Which is not a postulate to prove triangle congruence?

a)

AAA

b)

ASA

c)

SSS

d)

SAS

46.

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____ 

a)

LL  

b)

L\angle L  

c)

T\angle T  

d)

T

47.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
48.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\  
A  ?\angle A\ \cong\ ?  

a)

D\angle D  

b)

E\angle E  

c)

F\angle F  

d)

C\angle C  

49.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\   BC  ?\overline{BC}\ \cong\ ?  

a)

DE\overline{DE}  

b)

EF\overline{EF}  

c)

DF\overline{DF}  

d)

FD\overline{FD}  

50.

Solve for the value of X.

X= (a)  

51.
a)
72
b)
67
c)
65
d)
54
52.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

53.
Classify the triangle by angles and sides.
a)
Right Scalene
b)
Right Isosceles
c)
Acute Isosceles
d)
Right Obtuse
54.
Classify the triangle by angles and sides.
a)
Obtuse Scalene
b)
Obtuse Isosceles
c)
Acute Isosceles
d)
Equiangular Scalene
55.
Classify the triangle by angles and sides.
a)
Obtuse Scalene
b)
Obtuse Isosceles
c)
Right Scalene
d)
Acute Isosceles
56.
Classify the triangle by angles and sides.
a)
Equiangular Equilateral
b)
Right Isosceles
c)
Right Scalene
d)
Acute Isosceles
57.

Triangles can be classified by what two things?

a)

Side length and angle measure

b)

Number of Vertices and number of sides

c)

Angle color and side height

d)

Number of points and number of lines

58.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

59.

A scalene triangle has _____

a)

3 different angle names

b)

no congruent sides

c)

all sides congruent

d)

3 congruent angles

60.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

61.
How many acute angles must an acute triangle have?
a)
2
b)
1
c)
4
d)
3
62.
Classify by sides
a)
Right
b)
Isosceles
c)
scalene
d)
equilateral
63.

.

.

.

What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

64.

An _____________ triangle is a triangle with one obtuse angle and two acute angles.

a)

Scalene Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

None of these

65.
Which type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
66.
Which type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
67.
What type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
68.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
69.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
70.
A triangle has angle measurements of 74°, 90°, and 16°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
71.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
72.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Scalene Triangle
c)
Isosceles Triangle
d)
Right Triangle
73.
Classify the triangle by angles and sides.
a)
Right Scalene
b)
Right Isosceles
c)
Acute Isosceles
d)
Right Obtuse
74.
Classify the triangle by angles and sides.
a)
Obtuse Scalene
b)
Obtuse Isosceles
c)
Acute Isosceles
d)
Equiangular Scalene
75.
Classify the triangle by angles and sides.
a)
Obtuse Scalene
b)
Obtuse Isosceles
c)
Right Scalene
d)
Acute Isosceles
76.
Classify the triangle by angles and sides.
a)
Equiangular Equilateral
b)
Right Isosceles
c)
Right Scalene
d)
Acute Isosceles
77.

Triangles can be classified by what two things?

a)

Side length and angle measure

b)

Number of Vertices and number of sides

c)

Angle color and side height

d)

Number of points and number of lines

78.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

79.

A scalene triangle has _____

a)

3 different angle names

b)

no congruent sides

c)

all sides congruent

d)

3 congruent angles

80.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

81.
How many acute angles must an acute triangle have?
a)
2
b)
1
c)
4
d)
3
82.
Classify by sides
a)
Right
b)
Isosceles
c)
scalene
d)
equilateral
83.

.

.

.

What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

84.

An _____________ triangle is a triangle with one obtuse angle and two acute angles.

a)

Scalene Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

None of these

85.
Which type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
86.
Which type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
87.
What type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
88.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
89.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
90.
A triangle has angle measurements of 74°, 90°, and 16°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
91.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
92.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Scalene Triangle
c)
Isosceles Triangle
d)
Right Triangle
93.

ΔBIGΔLAD\Delta BIG\cong\Delta LAD  , which side is congruent to BG\overline{BG}  ?

a)

BI\overline{BI}  

b)

LA\overline{LA}  

c)

AD\overline{AD}  

d)

LD\overline{LD}  

94.

ΔBIGΔLAD\Delta BIG\cong\Delta LAD  , which angle is congruent to B\angle B ?

a)

  G\angle G  

b)

L\angle L   

c)

A\angle A   

d)

D\angle D   

95.

If ΔGAMΔERS\Delta GAM\cong\Delta ERS  , what angle is congruent to RES\angle RES  ?

a)

GAM\angle GAM  

b)

AGM\angle AGM  

c)

GMA\angle GMA  

d)

MAG\angle MAG  

96.

ΔGAMΔERS\Delta GAM\cong\Delta ERS , GA=11\overline{GA}=11  , GM=8\overline{GM}=8 , and AM=7\overline{AM}=7   . What is the length of ER\overline{ER}  ?

a)

7

b)

8

c)

11

d)

26

97.

Given that ΔSTAΔBLE\Delta STA\cong\Delta BLE  . If mS=97°m\angle S=97\degree  and mT=43°m\angle T=43\degree  ? What is the measure of angle L?

a)

40°40\degree  

b)

43°43\degree  

c)

90°90\degree  

d)

97°97\degree  

98.

Given that ΔSTAΔBLE\Delta STA\cong\Delta BLE  . If mS=97°m\angle S=97\degree  and mT=43°m\angle T=43\degree  ? What is the measure of angle E?

a)

40°40\degree  

b)

43°43\degree  

c)

90°90\degree  

d)

97°97\degree  

99.

What is the name of the triangle congruent to ΔRPE\Delta RPE  ?

a)

ΔCFT\Delta CFT  

b)

ΔFTC\Delta FTC  

c)

ΔTFC\Delta TFC  

d)

ΔFCT\Delta FCT  

100.

What triangle is congruent to ΔALE\Delta ALE  ?

a)

ΔLET\Delta LET  

b)

  ΔLRT\Delta LRT

c)

  ΔRET\Delta RET

d)

ΔRTE\Delta RTE  

101.

What postulate or theorem proves that ΔALEΔRTE\Delta ALE\cong\Delta RTE  ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

102.

What triangle is congruent to ΔALT\Delta ALT  ?

a)

ΔLRT\Delta LRT  

b)

ΔRTL\Delta RTL  

c)

ΔTLR\Delta TLR  

d)

ΔTEL\Delta TEL  

103.

What postulate or theorem proves that ΔALTΔRTL\Delta ALT\cong\Delta RTL  ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

104.

What triangle congruence postulate or theorem justifies the congruency of ΔRTO and ΔBSO\Delta RTO\ and\ \Delta BSO ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

105.

What triangle congruence postulate or theorem justifies the congruency of ΔIELΔEIF\Delta IEL\cong\Delta EIF ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

106.

What parts of the triangles must be marked so that the triangles are congruent via SAS Postulate?

a)

B and P\angle B\ and\ \angle P  

b)

A and E\angle A\ and\ \angle E  

c)

G and N\angle G\ and\ \angle N  

107.

What parts of the triangles must be marked so that ΔHOE and ΔPOE\Delta HOE\ and\ \Delta POE  are congruent via AAS Theorem?

a)

H and P\angle H\ and\ \angle P  

b)

HEO and PEO\angle HEO\ and\ \angle PEO  

c)

HO and PO\overline{HO}\ and\ \overline{PO}  

d)

HE and PE\overline{HE}\ and\ \overline{PE}

108.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
109.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
110.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
111.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
112.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
113.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
114.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
115.

ΔABC Δ?\Delta ABC\ \cong\Delta?  

a)

ΔEFD\Delta EFD  

b)

ΔDFE\Delta DFE  

c)

ΔDEF\Delta DEF  

d)

ΔFED\Delta FED  

116.

Which symbol means congruent?

a)

\approx  

b)

\cong  

c)

==  

d)

\ne  

117.

What type of angles are 1\angle1  and 3\angle3  ?

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

118.

RSUT\overline{RS}\cong\overline{UT}  and  RSVUTV\angle RSV\cong\angle UTV What else is congruent?

a)

no other congruent parts

b)

SVRTVU\angle SVR\cong\angle TVU  ; vertical angles

c)

RVUV\overline{RV}\cong\overline{UV}  ; Shared side/reflexive

119.

Which is not a postulate to prove triangle congruence?

a)

AAA

b)

ASA

c)

SSS

d)

SAS