Free Printable Unit 3 Review #2

1.

The sides of an equilateral triangle have...

a)

different measures.

b)

Febtober.

c)

equal measures.

d)

60°.

2.

Find the value of x

a)

41

b)

45

c)

31

d)

98

3.

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

4.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

5.

If an isosceles triangle has a base angle measuring 40°, then what measure is the vertex angle?

a)

120°

b)

100°

c)

40°

d)

80°

6.

Use the picture to answer the question.

a)

76

b)

28

c)

152

d)

56

7.

Find x

a)

3

b)

4

c)

2

d)

10

8.

Find x

a)

10

b)

32

c)

116

d)

16

9.

What is the measure of ∠T?

a)

4

b)

52

c)

76

d)

25

10.

How are the triangles congruent?

a)

SAS

b)

ASA

c)

HL

d)

SSS

11.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

12.

Which is NOT a criteria for triangles to be congruent by the HL Theorem?

a)

Right triangles

b)

congruent hypotenuses

c)

Two pairs of congruent legs

d)

One pair of congruent legs

13.

How are the triangles congruent?

a)

AAS

b)

SAS

c)

ASA

d)

Not congruent

14.

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

a)

ASA

b)

AAS

c)

SAS

d)

AAA

15.

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

a)

ASA

b)

SSS

c)

SAS

d)

HL

16.

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

a)

SSS

b)

SAS

c)

AAS

d)

ASA

17.

Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

a)

b)

c)

d)

18.

Identify any common angles or sides

a)

JK

b)

Angle MJK

c)

LK

d)

Angle MKJ

19.

Identify common angles or sides

a)

Angle E

b)

Angle D

c)

Angle F

d)

Angle DGF

20.

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.

a)

Angle M

b)

Angle P

c)

Angle K

d)

Angle MLP

21.

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

a)

Side DF

b)

Angle E

c)

Angle G

d)

Angle GDE

22.

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

a)

Side XY

b)

Side XZ

c)

Angle TWZ

d)

Side YT

23.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

24.

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

a)

$\overline{JK}\cong\overline{JK}$ ; Reflexive

b)

$\angle M\cong\angle L$ ; Reflexive

c)

$\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

d)

$\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

25.

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

a)

$\angle P\cong\angle Q$ ; SAS

b)

$\angle P\cong\angle Q$ ; CPCTC

c)

$\angle P\cong\angle Q$ ; SSS

d)

$\angle P\cong\angle Q$ ; SSA

26.

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

a)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

b)

$\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

c)

$\overline{DG}\cong\overline{DG}$ ; Reflexive

d)

$\overline{DF}\cong\overline{FE}$ ; Midpoint Theorem

27.

Which of the following is a correct statement and reason for the proof shown? Select all that apply.

a)

$\overline{FG}\cong\overline{FG}$ ; Definition of midpoint

b)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

c)

$\overline{DG}\cong\overline{GE}$ ; Definition of Midpoint

d)

$\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

28.

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

a)

$\overline{WE}\cong\overline{QE}$ ; Midpoint Theorem

b)

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

c)

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

d)

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

29.

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

30.

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

a)

$\angle APB\cong\angle CPD$ ; Vertical

b)

$\angle A\approx\angle D$ ; Alternate Interior

c)

$\angle C\cong\angle B$ ; Alternate Interior

d)

$\overline{AB}\cong\overline{CD}$ ; Prove

31.

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

a)

$\angle1\cong\angle2$ ;Definition of a Bisector

b)

$\angle ADC\cong\angle BDC$ ; Definition of a Bisector

c)

$\angle A\cong\angle B$ ; Definition of a Bisector

d)

$\overline{AD}\cong\overline{DB}$ ; Definition of a Bisector

32.

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

33.

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

a)

$\overline{SA}\cong\overline{NE}$ ; CPCTC

b)

$\overline{SA}\cong\overline{NE}$ ; Parallel Lines Congruence Theorem

c)

$\angle E\cong\angle A$ ; Alternate Interior

d)

$\overline{SE}\cong\overline{AN}$ ; Reflexive

34.

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

a)

$\overline{TM}\cong\overline{ME}$ ; Midpoint Theorem

b)

$\overline{IM}\cong\overline{MR}$ ; Midpoint Theorem

c)

$\angle I\cong\angle R$ ; Alternate Interior

d)

$\overline{MI}\cong\overline{MR}$ ; Prove

35.

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

a)

$\angle RME\cong\angle IMT$ ; Vertical

b)

$\overline{MI}\cong\overline{MR}$ ; Prove

c)

$\angle RME\cong\angle IMT$ ; Reflexive

d)

$\overline{IM}\cong\overline{MR}$ ; Midpoint Theorem

36.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

37.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

38.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

39.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

D

42.

a)

A

b)

B

c)

C

d)

D

43.

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

44.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

45.

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

a)

Proof

b)

Def. of Midpoint

c)

Reflexive Property

d)

Vertical angle Theorem

46.

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.

47.

What is the correct choice for Reason 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

48.

What is the correct choice for Statement 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

CPCTC

49.

What is the correct choice for Reason 3?

a)

Vertical Angles are Congruent

b)

Definition of Congruence

c)

Given

d)

Reflexive Property

50.

What is the correct choice for Reason 4?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

51.

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

52.

If DA bisects IE, then

a)

ID=ED

b)

IA=EA

c)

<IDA=<EDA

d)

<IAD and <EAD are right angles

53.

If AD bisects <EDI, then

a)

<ADE=<IDA

b)

IA=AE

c)

ID=ED

d)

All of the above

54.

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

55.

If DA bisects EI, then

a)

<IDA = <EDA

b)

AI=EA

c)

Both 1 and 2 are correct

d)

DI=ED

56.

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

57.

An angle bisector cuts an angle into two congruent _________

a)

Angles!

b)

Segments

c)

Mysteries

58.

A segment bisector cuts a segment into two congruent

a)

Segments!

b)

Angles

c)

Mysteries

59.

In this picture, we know for sure that

a)

<TEB=<ETS

b)

<BTE=<SET

c)

BE=ST

d)

Both 1 and 2 are correct

60.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

Unit 3 Review #2

Total questions: 60

Worksheet time: 2hrs 42mins

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