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Ch 4 Triangles

Total questions: 103

Worksheet time: 10hrs 21mins

Name
Class
Date
1.
Classify the triangle by its sides
a)
equilateral
b)
isosceles
c)
scalene
2.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

3.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

4.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

5.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

6.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

7.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

8.

What addition piece of information would allow you to conclude that ΔDEFΔPQR\Delta DEF\cong\Delta PQR using SAS?

a)

DP\angle D\cong\angle P  

b)

EQ\angle E\cong\angle Q  

c)

DQ\angle D\cong\angle Q  

d)

FR\angle F\cong\angle R  

9.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
10.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
11.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
12.

Which congruency statement can be written for the triangles pictured?

a)

ΔACBΔABD\Delta ACB\cong\Delta ABD

b)

ΔBACΔBAD\Delta BAC\cong\Delta BAD

c)

ΔCABΔDBA\Delta CAB\cong\Delta DBA

d)

ΔADBΔBCA\Delta ADB\cong\Delta BCA

13.
Which is NOT a shortcut to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
14.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
SSA
d)
HL
15.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

16.

State if the triangles are congruent and why.

a)

Yes, AAS

b)

Yes, ASA

c)

Not congruent

d)

Yes, SSS

17.
Solve for x
a)
5
b)
4
c)
3
d)
2
18.
Solve for y
a)
2
b)
3
c)
4
d)
5
19.

What is the name of this kind of triangle?

a)

Scalene

b)

Isosceles

c)

Equilateral

20.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

21.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

isosceles

c)

equilateral

22.
a)

Equilateral

b)

Isosceles

c)

Scalene

23.

Classify the triangle by its sides.

a)

Scalene

b)

Equialteral

c)

Isosceles

24.

Classify the triangle by its angles.

a)

Acute

b)

Obtuse

c)

Equiangular

d)

right

25.

Classify the triangle by its angles.

a)

acute

b)

obtuse

c)

equiangular

d)

right

26.

Classify the triangle by its angles.

a)

acute

b)

obtuse

c)

equiangular

d)

right

27.
Classify the triangle.
a)
acute
b)
equilateral
c)
scalene
d)
obtuse
28.
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
29.

WHAT TYPE OF TRIANGLE IS THIS

a)

RIGHT EQUILATERAL

b)

RIGHT SCALENE

c)

RIGHT ISOSCELES

d)

OBTUSE SCALENE

30.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

31.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
32.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
33.
a)
A
b)
B
c)
C
d)
D
34.
Find the measure of the indicated angle. 
a)
145
b)
113
c)
102
d)
78
35.
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
36.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
37.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

38.
Solve for x.
a)
16
b)
11
c)
50
d)
6
39.

Solve for x

a)

49

b)

58

c)

70

d)

94

40.

Which of the following statements about this figure are true?

a)

m1=24°, m2=45°, and m3=62°m\angle1=24\degree,\ m\angle2=45\degree,\ and\ m\angle3=62\degree  

b)

m1=118°, m2=73°, and m3=49°m\angle1=118\degree,\ m\angle2=73\degree,\ and\ m\angle3=49\degree  

c)

m1=62°, m2=45°, and m3=24°m\angle1=62\degree,\ m\angle2=45\degree,\ and\ m\angle3=24\degree  

d)

m1=38°, m2=69°, and m3=19°m\angle1=38\degree,\ m\angle2=69\degree,\ and\ m\angle3=19\degree  

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.

What is the value of y?

a)

14

b)

98

c)

41

d)

5

45.

Find x

a)

10

b)

32

c)

116

d)

16

e)

64

46.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

47.

For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

48.
Solve for x.
a)
-8
b)
-4
c)
-6
d)
-10
49.

Solve for x.

a)

A

b)

B

c)

C

d)

D

50.

What is Side AB corresponding side?

a)

PR

b)

QR

c)

PQ

d)

AC

51.

The corresponding angle to angle C is:

a)

Angle Q

b)

Angle P

c)

Angle R

d)

none of the answers

52.

What angle is the corresponding angle to angle B?

a)

Angle P

b)

Angle R

c)

Angle Q

d)

Angle A

53.
ABC∼XYZ
Which angles corresponds to ∠A
a)
∠X
b)
∠Y
c)
∠Z
d)
∠B
54.
ABC∼XYZ
Which angles corresponds to ∠B
a)
∠X
b)
∠Y
c)
∠Z
d)
∠A
55.
QRST∼XZWY
Which side corresponds to QR
a)
XZ
b)
ZW
c)
WY
d)
XY
56.
QRST∼XZWY
Which side corresponds to QT
a)
XZ
b)
ZW
c)
WY
d)
XY
57.

What angle corresponds to Angle E?

a)

Angle S

b)

Angle T

c)

Angle R

58.

Which congruence statement is written accurately for the figures?

a)

ΔABCΔRDS\Delta ABC\cong\Delta RDS

b)

ΔABCΔDSR\Delta ABC\cong\Delta DSR

c)

ΔABCΔSRD\Delta ABC\cong\Delta SRD

d)

ΔABCΔDRS\Delta ABC\cong\Delta DRS

59.
What does x equal?
a)
9
b)
11
c)
17
60.

∠A corresponds with which ∠ in the other triangle ?

a)

∡L

b)

∡M

c)

∡N

d)

None

61.
In congruent triangles, corresponding parts are always ______.
a)
opposite
b)
equal
c)
equilateral
d)
acute
62.
ΔXYZ  ≅ Δ ____
a)
CAB
b)
BAC
c)
ABC
63.
∠E ≅ ∠ __
a)
A
b)
B
c)
C
d)
D
64.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
65.

If ΔABC  Δ EFD\Delta ABC\ \cong\ \Delta\ EFD , what is the length of DF?

a)

17cm

b)

15cm

c)

8cm

66.

If ΔABC  Δ EFD\Delta ABC\ \cong\ \Delta\ EFD , What is the length of DE?

a)

17cm

b)

15cm

c)

8cm

67.

Given: ΔABCΔDEF\Delta ABC\cong\Delta DEF   Select ALL the true statements.

a)

CE\angle C\cong\angle E  

b)

CADFCA\cong DF  

c)

EB\angle E\cong\angle B  

d)

BCDFBC\cong DF  

e)

AD\angle A\cong\angle D  

68.

DC ≅ 

a)

AB

b)

BC

c)

CE

d)

AC

69.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
70.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
71.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
72.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
73.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
74.

What are Corresponding Parts

a)

The same triangle.

b)

When two figures are congruent.

c)

Sides or angles that are in the same or matching position.

d)

Another word for perimeter.

75.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side ZX?

a)

TR

b)

ST

c)

SR

76.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
77.

What kind of angles are  1 and 2\angle1\ and\ \angle2  ?

a)

Exterior angles

b)

Vertical angles

c)

A Linear Pair

d)

Corresponding angles

e)

Alternate Interior angles

78.

What are the ways that we can use to prove two triangles are congruent? (Mark all that apply)

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

SSA

79.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
80.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
81.

Name the angle with three letters.

a)

∠e

b)

∠f

c)

∠FED

d)

∠FDE

82.

Name the angle with three letters.

a)

∠LMK

b)

∠KML

c)

∠KLM

83.

Name the angle with three letters.

a)

∠XZY

b)

∠ZXY

c)

∠XYZ

84.

What is another name for ∠STU?

a)

<TSU

b)

<TUS

c)

<SUT

d)

<UTS

85.

Which is the vertex of the angle?

a)

X

b)

Y

c)

Z

86.

D is the vertex of the angle.

a)

True

b)

False

87.

Which is the vertex of the angle?

a)

E

b)

D

c)

F

88.

Which is the correct way to name ∠q?

a)

∠QPO

b)

∠NRQ

c)

∠PQR

89.

Choose the correct name for the angle marked 6.\angle6.  

a)

KVL\angle KVL  

b)

LKV\angle LKV  

c)

V\angle V  

d)

JKV\angle JKV  

90.

Choose the correct name for the angle marked 3.\angle3.  

a)

V\angle V  

b)

4\angle4  

c)

IVH\angle IVH  

d)

JVI\angle JVI  

91.

Name the angle.

a)

STR\angle STR

b)

RST\angle RST

c)

RTS\angle RTS

d)

Point RST

92.

Which names an obtuse angle in the figure?

a)

Angle JHG

b)

Angle FHJ

c)

Angle GHK

d)

Angle FHK

93.

Choose the correct name for the angle marked  4.\angle4.  

a)

K\angle K  

b)

KVJ\angle KVJ  

c)

LVK\angle LVK  

d)

JKV\angle JKV  

94.

Choose the correct name for the angle marked 5.\angle5.

a)

V\angle V  

b)

JVK\angle JVK  

c)

IJK\angle IJK  

d)

IVJ\angle IVJ  

95.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
96.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
97.

Will these three sides form a triangle?

a)

yes

b)

no

98.

Will these line segments form a triangle?

a)

yes

b)

no

99.
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?
a)
16 inches
b)
5 inches
c)
32 inches
d)
29 inches
100.

Will these side lengths form a triangle?

a)

yes

b)

no

101.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
102.

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

a)

yes

b)

no

103.

Can the following side measures form a triangle?
  3, 5, 8 

a)

Yes

b)

No