Free Printable Optional Practice - Unit 4 Study Guide Part C

1.

Name the theorem, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

2.

Solve for the value of x.

HINT: USE THE TRIANGLE SUM THEOREM TO SOLVE FOR X.

(a)

3.

What value of x will make the given triangles congruent by Hypotenuse- Leg?

KL is congruent to KM.

(a)

4.

For the triangles to be congruent by HL, what must be the value of x? Triangle ABC Is congruent to triangle FGH.

(a)

5.

Which value of x would make the triangle SUV congruent to TWU by HL?

(a)

6.

Find the measure of angle A.

a)

^44º

b)

96^o

c)

-14^o

d)

63^o

7.

Solve for the value of x.

(a)

8.

*hint

___+___+___=180

(a)

9.

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

a)

ASA

b)

AAS

c)

SAS

d)

AAA

10.

How are the triangles congruent?

a)

Not congruent

b)

AAS

c)

SAS

d)

ASA

11.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

12.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

13.

Solve for the value of x.

a)

3

b)

8

c)

1

d)

2

14.

Find the measure of angle A.

a)

^44º

b)

96^o

c)

-7^o

d)

63^o

15.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

16.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

17.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

18.

What is Reason D?

a)

Vertical Angle Theorem

b)

Reflexive Property

c)

Definition of Congruence

d)

Definition of Vertical Angles

19.

What is Reason E?

a)

Vertical Angle Theorem

b)

CPCTC

c)

Definition of Congruence

d)

Definition of Vertical Angles

20.

What is Reason F?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

21.

Are the two triangles congruent? What theorem would prove them congruent?

a)

Not enough information to prove congruent

b)

Congruent by SSS Theorem

c)

Congruent by SAS Theorem

d)

Congruent by ASA Theorem

e)

Congruent by AAS Theorem

22.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

23.

$\Delta ADB\cong\Delta CDB.$ What statements are true?

a)

$\angle A\cong\angle C$

b)

$\angle ABD\cong\angle BDC$

c)

$\overline{AD}\cong\overline{DC}$

d)

There is a rigid transformation to map $\angle D\ \cong\ \angle D$

e)

There is a rotation to map point A to $\Delta CDB$

24.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

25.

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

a)

WV

b)

WU

c)

VU

d)

WB

26.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

27.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

28.

What reflexive property would be needed to prove these triangle congruent?

a)

OE=LO

b)

OE=OE

c)

EV=EV

d)

VO=LO

29.

What are the vertical angles in the diagram?

a)

$\angle DCE\cong BEA$

b)

$\angle DEC\cong\angle BED$

c)

$\angle AEB\cong\angle CED$

d)

None.

30.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

31.

What theorem can be used to proved that $\angle BCA\ \cong\ \angle ECD$ ?

a)

Vertical Angle theorem

b)

Alternate interior angle theorem

c)

Alternate exterior angle theorem

d)

SAS postulate

32.

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

a)

A

b)

B

c)

C

d)

D

33.

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

a)

A

b)

B

c)

C

d)

D

34.

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

a)

A

b)

B

c)

C

d)

D

35.

What additional information is required for the 2 triangles to be congruent by ASA?

a)

A

b)

B

c)

C

d)

D

36.

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

37.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

38.

Which symbol means congruent?

a)

$\approx$

b)

$\cong$

c)

$=$

d)

$\ne$

39.

What type of angles are $\angle1$ and $\angle3$ ?

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

40.

What postulate or theorem proves $\angle A\cong\angle A$ ?

a)

Transitive Property of Congruence

b)

Reflexive Property of Congruence

c)

Symmetric Property of Congruence

d)

Vertical Angle Theorem

41.

Which is not a postulate to prove triangle congruence?

a)

AAA

b)

ASA

c)

SSS

d)

SAS

42.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

43.

Angles e and d are what type of angles?

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate Interior Angles

d)

Alternate Exterior Angles

44.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

45.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

46.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

47.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

48.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

49.

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

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

50.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

51.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

52.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

53.

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

54.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

55.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

56.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

57.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

58.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

59.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

60.

1. Included side ∠A and ∠C.

(a)

61.

Included angle AE and CE

(a)

62.

Included side of ∠C and ∠E

(a)

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

Find x.

a)

5

b)

4

c)

3

d)

2

75.

Find y.

a)

2

b)

3

c)

4

d)

5

76.

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

77.

State the angle relationship and find the measure of angle 3

a)

Alternate Interior
50

b)

Alternate Interior
130

c)

Corresponding
130

d)

Corresponding
50

78.

Find x.

a)

130

b)

50

79.

What is the 5 reason?

a)

ASA

b)

CPCTC

c)

AAA

d)

SAS

80.

What is the 1 reason?

a)

AAA

b)

Mid Point

c)

Given

d)

Bisection Definition

81.

What is reason 5?

a)

b)

c)

d)

82.

What is statement 1?

a)

b)

c)

d)

83.

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

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

84.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

85.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Right Isosceles

c)

Acute Isosceles

d)

Right Obtuse

86.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Acute Isosceles

d)

Equiangular Scalene

87.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

Right Isosceles

c)

Right Scalene

d)

Acute Isosceles

88.

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

89.

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

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

90.

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

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

91.

In a geometric proof, reasons on the _____ side

a)

Left

b)

Right

c)

transative

d)

POE

92.

In a geometric proof, statements go on the ____ side

a)

left

b)

right

c)

transative

d)

POE

93.

If B is the midpoint of $\overline{AC}$ , then $\overline{AB}\cong\overline{BC}$

a)

Definition of midpoint

b)

Definition of angle bisector

c)

Definition of segment bisector

d)

Definition of perpendicular lines

94.

When writing a proof start with ......

a)

The given

b)

Transative property

c)

Supplementary angles

d)

Subtraction POE

95.

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

a)

Substitution

b)

Commutative

c)

Reflexive

d)

CPCTC

96.

In the given proof, what is the reason for step 2?

a)

Alternate Exterior Angle are Congruent

b)

Reflexive Property of Congruence

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

97.

What does it mean to bisect a segment or an angle?

a)

Split it into 3 equal parts.

b)

Split it into 2 equal parts.

c)

Split into 4 equal parts.

d)

Double it.

98.

Are these two lines parallel, perpendicular or neither?

y = -1/3x - 5

y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

99.

If two lines are parallel their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

100.

m $\angle$ RST = m $\angle$ WTS

$\overline{PS}\ Bi\sec ts\ \angle\ RST$

$\overline{PT}\ Bi\sec ts\ \angle\ WTS$

Prove that m $\angle\ 1\ =\ m\ \angle\ 2$

a)

m $\angle$ RST = m $\angle$ WTS

1.

1. Given

b)

PS bisects $\angle$ RST

PT bisects $\angle$ WTS

2.

2. Given

c)

$m\ \angle\ 1\ =\ \frac{1}{2}\ of\ m\ \angle\ RST$ $m\ \angle\ 2\ =\ \frac{1}{2}\ of\ m\ \angle\ WTS$

3.

Definition of Angle Bisector

d)

$m\ \angle\ 1\ =\ m\ \angle\ 2$

4.

Halves of equals are equal.

Optional Practice - Unit 4 Study Guide Part C

Total questions: 100

Worksheet time: 3hrs 58mins

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