Free Printable Unit # 3

1.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

2.

Given: <1 and <2 are supplementary. What can you conclude?

a)

m<1 + m<2 = 180

b)

m<1 + m<2 = 90

c)

m<1 = m<2

d)

nothing

3.

Given: OR $\perp$ QP. What should you conclude by definition of perpendicular?

a)

<ORP is a right angle

b)

QR + RP = QP

c)

<ORQ and <ORP are complementary

d)

<QRP = 180 $\degree$

4.

What reason supports the statement?

a)

Vertical angles are congruent.

b)

Parallel implies alternate interior angles are congruent.

c)

Parallel implies corresponding angles are congruent.

d)

Reflexive Property

5.

If two angles are complementary, which of the following must also be true? (Select all that are true)

a)

the angles add up to 90 degrees

b)

the angles are both acute

c)

the angles form a linear pair

d)

the angles have a sum of 180 degrees

6.

Which of the following conclusions CANNOT be drawn just by looking at the diagram?

a)

GH and AB intersect at D

b)

<GDA and <HDB are vertical angles

c)

D is the midpoint of GH

d)

G, D, and H are collinear

7.

Which property of real numbers was used to get from Step 3 to Step 4?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Additive Inverse Property

d)

Substitution Property

8.

If 3x = 15, then x = 5

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

9.

For any numbers a, b, and c, if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

10.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

11.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

12.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

13.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

14.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle GEQ\cong\angle NEW$ Vertical

b)

$\overline{WN}\cong\overline{GQ}$ ; Prove

c)

$\angle G\cong\angle N$ ; Alternate Interior

d)

$\angle W\cong\angle Q$ ; Alternate Interior

15.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{DC}\cong\overline{DC}$ ; Reflexive Property

b)

$\angle A\cong\angle B$ ; Reflexive Property

c)

$\angle1\cong\angle2$ ; Reflexive Property

d)

$\overline{AD}\cong\overline{DB}$ ; Midpoint Theorem

16.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

17.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

18.

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

a)

A

b)

B

c)

C

d)

D

19.

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

a)

A

b)

B

c)

C

d)

D

20.

What is the correct choice for Statement 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

CPCTC

21.

What is the correct choice for Reason 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

22.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

23.

If L is the midpoint of TJ, what must be true?

a)

TL=JT

b)

JL=TJ

c)

TL=LJ

d)

T is also the midpoint of JL

24.

If DA is perpendicular to IE, then we can immediately conclude that

a)

IA=AE

b)

<IAD = <DAE

c)

<IDA=<EDA

d)

<IAD and <DAE are right angles

25.

If DA is the perpendicular bisector or EI, then

a)

<IAD and <DAE are right angles

b)

DI=DE

c)

EA=IA

d)

Both 1 and 3 are correct

26.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

27.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

28.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

29.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = AZ

b)

∠B ≅ ∠Y

c)

∠X ≅ ∠C

d)

AC = XC

30.

a)

A

b)

B

c)

C

d)

D

31.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

32.

These triangles are congruent. If ∠A is 48^o what is the measure of ∠F?

a)

48^o

b)

38^o

c)

84^o

d)

94^o

33.

Given: $\Delta QRP\cong\Delta QRC$
Complete the congruence statement.

$\angle PQR\cong_{ }$

a)

$\angle QRC$

b)

$\angle CQR$

c)

$\angle CRQ$

d)

$\angle QPR$

34.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

35.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

36.

Name the relationship between ∠2 and ∠7.

a)

corresponding angles

b)

alternate interior angles

c)

alternate exterior angles

d)

vertical angles

37.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

38.

What is the value of y?

a)

29

b)

119

c)

58

39.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

40.

Solve for angle 5

a)

65

b)

60

c)

110

d)

115

41.

Two lines going the exact same way and will never intersect

a)

Alternate exterior angles

b)

Parallel lines

c)

Alternate interior angles

d)

Vertical lines

42.

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

a)

HL

b)

SSA

c)

SAS

d)

AAS

43.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

44.

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

a)

AAS

b)

SAS

c)

HL

d)

ASA

45.

Which of the following is NOT a triangle congruence theorem?

a)

HL

b)

SAS

c)

AAS

d)

AAA

46.

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

a)

ASA

b)

SSS

c)

SAS

d)

HL

47.

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

a)

Not enough information

b)

SAS

c)

SSA

d)

AAS

48.

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

a)

SSS

b)

SAS

c)

AAS

d)

ASA

49.

Which of the following proves congruence ONLY for right triangles?

a)

AAS

b)

HL

c)

SAS

d)

SSS

50.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

51.

What is Reason F?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

52.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

53.

What is the measure of angle A in the triangle?

a)

116*

b)

25*

c)

62*

d)

54*

Unit # 3

Total questions: 53

Worksheet time: 1hrs 20mins

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