Free Printable Unit 5 Test Review

1.

Are these triangles congruent?

a)

Yes, by ASA

b)

Yes, by SAS

c)

Yes, by AAS

d)

No, this is the SSA one!!

2.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

3.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

4.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

5.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

6.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

7.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

8.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

9.

What is the correct values for x and y?

a)

x = 40, y = 35

b)

x = 35, y = 40

c)

x = 12, y = 30

d)

x = 30, y = 15

10.

Determine the unknown angle measure.

a)

A

b)

B

c)

C

d)

D

11.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

12.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

13.

x=

y=

Choose 2 answers

a)

7

b)

25

c)

6

d)

11

e)

18

14.

In triangle congruence, what does SAS stand for?

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Angle-Angle

d)

Side-Side-Side

15.

Which postulate or theorem states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent?

a)

Hypotenuse-Leg (HL) theorem

b)

Side-Angle-Side (SAS) postulate

c)

Side-Side-Side (SSS) postulate

d)

Angle-Angle-Side (AAS) postulate

16.

What does ASA stand for in the context of triangle congruence?

a)

Adjacent-Side-Angle

b)

Angle-Side-Angle

c)

Area-Side-Angle

d)

Angle-Side-Side

17.

What does AAS stand for in the context of triangle congruence?

a)

Angle-Angle-Angle

b)

Side-Side-Side

c)

Angle-Angle-Side

d)

Hypotenuse-Adjacent-Side

18.

In triangle congruence, what does HL stand for?

a)

Huge-Loss

b)

Hypotenuse-Leg

c)

Height-Length

d)

Horizontal-Line

19.

If two triangles have all three sides congruent, which postulate or theorem can be used to prove their congruence?

a)

AAS Congruence Theorem

b)

SAS Congruence Postulate

c)

AAA Congruence Postulate

d)

SSS Congruence Postulate

20.

In this figure, $\Delta VWB\ \cong\ \Delta RLC$ . Which side must have the same length as $\overline{BW}$

a)

$\overline{RL}$

b)

$\overline{RC}$

c)

$\overline{CL}$

d)

$\overline{VW}$

e)

$\overline{VB}$

21.

In the figure, $\Delta ABC\ \cong\ \Delta DEF$ . What is the value of $X$ ?

a)

65°

b)

180°

c)

130°

d)

90°

22.

In this figure, $\Delta LMN\ \cong\ \Delta PQR.\ What\ is\ the\ length\ of\ \overline{QR}$ ?

a)

12 cm

b)

3 cm

c)

7 cm

d)

6 cm

23.

State which additional congruence statement is needed to prove $\Delta ABC\cong\Delta DEF$ by HL Triangle Congruence Theorem.

a)

$<C\cong<F$

b)

$<A\cong<D$

c)

$\overline{CB}\cong\overline{FE}$

d)

$\overline{AC}\cong\overline{DF}$

24.

Write a congruence statement and state which theorem is used to determine if the following triangles are congruent. $\Delta MGW\cong$ (a) by (b) Triangle Congruence Theorem.

Choose from the below words

$AXU$

SAS

SSS

AAS

UAX

ASA

25.

Write a congruence statement and state which theorem is used to determine if the following triangles are congruent.

$\Delta$ (a) $\cong\Delta$ (b) by (c) triangle congruence Theorem.

Choose from the below words

MDJ

PFK

ASA

DMJ

KPF

SAS

AAS

SSS

HL

26.

Write a congruence statement and state which theorem is used to determine if the following triangles are congruent.

$\Delta JKL\cong$ (a) by (b) Triangle Congruence Theorem.

Choose from the below words

$\Delta MNL$

ASA

$\Delta NLM$

SAS

SSS

AAS

27.

If DA bisects IE, then

a)

ID=ED

b)

IA=EA

c)

<IDA=<EDA

d)

<IAD and <EAD are right angles

28.

If AD bisects <EDI, then

a)

<ADE=<IDA

b)

IA=AE

c)

ID=ED

d)

All of the above

29.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

30.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

31.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

32.

Name the postulate that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

33.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

34.

State if the theorem you would use to determine that the two triangles are congruent.

a)

SAS

b)

SSS

c)

HL

d)

AAS

35.

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

a)

SAS

b)

HL

c)

SSS

d)

AAS

36.

Name the postulate that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

37.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

38.

What is the measure of x?

a)

74˚

b)

80˚

c)

105˚

d)

60˚

39.

What is the value of X?

a)

45˚

b)

62˚

c)

83˚

d)

100˚

40.

Find the value of x

a)

30

b)

10

c)

140

d)

45

41.

Solve for x.

a)

-11

b)

9

c)

-9

d)

10

42.

Find the missing angle measure.

a)

146°

b)

34°

c)

36°

d)

136°

43.

Find the missing angle measure.

a)

61°

b)

153°

c)

27°

d)

146°

44.

What is the sum of the angles inside of a triangle?

a)

90 Degrees

b)

180 Degrees

c)

360 Degrees

d)

45 Degrees

45.

Solve for x.

a)

16

b)

11

c)

50

d)

6

46.

Which equation below can be used to determine the value of x?

a)

$5x+3x+3+3x+1=90$

b)

$3x+3+3x+1=5x$

c)

$5x+3x+3+3x+1=180$

47.

What is the value of x in the diagram shown?

48.

Which equation below can be used to determine the value of x?

a)

$4x+8=3x+5$

b)

$4x+8+3x+5=180$

c)

$4x+8+3x+5+90=180$

49.

Classify the triangle by sides and angles (choose two answers).

a)

Right triangle

b)

Acute triangle

c)

Obtuse triangle

d)

Equilateral triangle

e)

Isosceles triangle

50.

Classify the triangle by both sides and angles (choose two answers).

a)

Right triangle

b)

Acute triangle

c)

Obtuse triangle

d)

Isosceles triangle

e)

Scalene triangle

51.

Classify this triangle by its angles.

a)

right

b)

obtuse

c)

acute

d)

equiangular

52.

a)

acute

b)

obtuse

c)

right

d)

equiangular

53.

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

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Scalene Triangle

54.

Classify the triangle by sides and angles (choose two answers).

a)

Acute triangle

b)

Obtuse triangle

c)

Equilateral triangle

d)

Isosceles triangle

e)

Scalene triangle

55.

a)

72

b)

67

c)

65

d)

54

56.

a)

A

b)

B

c)

C

d)

D

57.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

58.

What is the measure of BC?

a)

12

b)

6

c)

not enough information

d)

10

59.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

60.

Find the value of x:

(a)

61.

Find x

a)

90

b)

45

c)

22

d)

35

62.

Solve for the value of X.

X= (a)

63.

Find x

a)

3

b)

4

c)

2

d)

10

64.

Find the value of x.

a)

1

b)

4

c)

5

d)

8

65.

What is the value of x?

a)

16

b)

60

c)

8

d)

Not enough information

66.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

60, 60, 60

c)

45, 45, 90

d)

35, 55, 90

67.

What is the value of x?

a)

51

b)

49

c)

78

68.

What is the length of side JK?

a)

12

b)

30

c)

33

d)

3

69.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

70.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

71.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

72.

What is the "reason" for step 3 of the proof?

a)

Vertical Angle Theorem

b)

given

c)

reflexive property

d)

proof

73.

Complete the congruence statement:
$If\ \Delta FHG\cong\Delta KLM,\ then\ \angle F\cong$ ____

a)

$\angle M$

b)

$\angle L$

c)

$\angle K$

d)

$\angle F$

74.

Given

\Delta ABC\ \cong\Delta DEF\

\overline{CA}\ \cong\ ?

a)

$\overline{DE}$

b)

$\overline{EF}$

c)

$\overline{DF}$

d)

$\overline{FD}$

75.

What statement and reason goes in the boxes labeled "1"?

a)

S: $\overline{BO}\ \cong\ \overline{BO}$

R: Reflexive PoC

b)

S: $\overline{BH}\ \cong\ \overline{BC}$

R: Opp sides are $\cong$

c)

S: $\overline{OH}\ \cong\ \overline{OC}$

R: Opp sides are $\cong$

d)

S: $\overline{BO}\ \cong\ \overline{BO}$

R: Transitive PoC

76.

What statement and reason goes in the boxes labeled "2"?

a)

S: $\Delta BHO\ \cong\ \Delta BCO$

R: ASA

b)

S: $\Delta BHO\ \cong\ \Delta BCO$

R: SAS

c)

S: $\Delta BHO\cong\ \Delta BCO$

R: AAS

d)

S: $\Delta BHO\ \cong\ \Delta BCO$

R: SSS

e)

S: $\Delta BHO\cong\ \Delta BCO$

R: HL

77.

What statement and reason goes in the boxes labeled "2"?

a)

S: $\overline{YO}\ \cong\ \overline{TO}$

R: Def. of Segment Bisector

b)

S: $\overline{YT}\ \cong\ \overline{DH}$

R: Opp sides are $\cong$

c)

S: $\overline{OH}\ \cong\ \overline{OC}$

R: Given

d)

S:

$\overline{YO}\ \cong\ \overline{YO}$

R: Reflexive PoC

78.

What statement and reason goes in the boxes labeled "3"?

a)

S: $\angle YOD\ \cong\ \angle HOT$

R: Vertical Angle Thm

b)

S: $\angle YOD\ \cong\ \angle HOT$

R: Alt Int Angle Thm

c)

S: $\angle YOD\ \cong\ \angle HOT$

R: Reflexive PoC

d)

S: $\angle O\ \cong\ \angle O$

R: Given

79.

What statement and reason goes in the boxes labeled "4"?

a)

S: $\Delta YOD\ \cong\ \Delta TOH$

R: ASA

b)

S: $\Delta YOD\ \cong\ \Delta TOH$

R: SAS

c)

S: $\Delta YOD\cong\ \Delta TOH$

R: AAS

d)

S: $\Delta YOD\ \cong\ \Delta TOH$

R: SSS

e)

S: $\Delta YOD\cong\ \Delta TOH$

R: HL

80.

a)

Symmetric Property of ≅ ; SSS

b)

Reflexive Property of ≅ ; SAS

c)

Reflexive Property of ≅ ; SSS

d)

Symmetric Property of ≅; SAS

81.

Supply the missing reasons to complete the proof.

Given: ∠Q ≅ ∠T; QR ≅ TR

a)

3. ASA

4.Substitution

b)

3. SAS

4. CPCTC

c)

3. AAS

4. CPCTC

d)

3. ASA

4. CPCTC

82.

Which of the following is NOT a valid reason to prove congruent triangles?

a)

SSA

b)

ASA

c)

SAS

d)

SSS

83.

What is the correct choice for Statement 4?

a)

Segment SU ≅ Segment VT

b)

Prove

c)

Segment ST ≅ Segment UV

d)

Definition of Congruence

84.

What is the correct choice for Statement 1?

a)

segment MN ≅ segment OP

b)

Given

c)

<MNP ≅ <OPN

d)

segment MP ≅ segment NO

85.

What is the correct choice for Statement 2?

a)

Segment GH ≅ Segment KL

b)

∠G ≅ ∠K

c)

Segment GI ≅ Segment KJ

d)

Segment HI ≅ Segment LJ

86.

When does one use 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

87.

What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?

a)

ASA

b)

SAS

c)

SSS

d)

HL

88.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

89.

The red and blue triangles are congruent. Identify a common side or angle.

a)

Side DF

b)

Side EF

c)

Angle G

d)

Angle E

90.

What is the correct choice for Statement 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

CPCTC

Unit 5 Test Review

Total questions: 90

Worksheet time: 4hrs 6mins

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