Free Printable Geometry Chapter 5 Review

1.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

2.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

3.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

4.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

5.

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

a)

A

b)

B

c)

C

d)

D

6.

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

a)

SSA

b)

AAS

c)

SAS

d)

SSS

7.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

8.

All of the following prove triangles congruent except

a)

SSS

b)

SAS

c)

CPCTC

d)

HL

9.

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

a)

A

b)

B

c)

C

d)

D

10.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

11.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

12.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

13.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

14.

Determine the unknown angle measure.

a)

A

b)

B

c)

C

d)

D

15.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

16.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

17.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

18.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

19.

Find the measure of x.

a)

75°

b)

30°

c)

25°

d)

20°

20.

a)

obtuse scalene

b)

right isosceles

c)

equilateral right

d)

obtuse isosceles

21.

a)

obtuse scalene

b)

right isosceles

c)

scalene acute

d)

acute isosceles

22.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

23.

Determine the Conclusion.

a)

Then ∠BCA ≅ ∠DCA.

b)

Then ∠BAC ≅ ∠DAC.

c)

Then Segment AB is congruent to Segment AD.

d)

Then ∠BAC and ∠DAC are right angles.

24.

Two right triangles are congruent if they have a congruent Hypotenuse and Leg

a)

True

b)

False

25.

Which additional information will prove the triangles congruent by HL?

a)

GH≅SR

b)

FG≅RT

c)

FH≅ST

d)

GH≅ST

26.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

27.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

28.

∆PRQ≅∆SRT

a)

TRUE

b)

FALSE

29.

PR≅RT

a)

TRUE

b)

FALSE

30.

QP≅ST

a)

TRUE

b)

FALSE

31.

Solve for x

a)

5

b)

4

c)

3

d)

2

32.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

33.

Solve for x

a)

30

b)

40

c)

50

d)

60

34.

a)

acute

b)

obtuse

c)

right

35.

a)

equilateral

b)

isosceles

c)

scalene

36.

a)

equilateral

b)

isosceles

c)

scalene

37.

Name this triangle.

a)

A

b)

B

c)

C

d)

D

38.

Classify the following triangle in as many ways as possible.

a)

Right, Equilateral

b)

Obtuse, Scalene

c)

Obtuse, Equilateral

d)

Right, Scalene

39.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

40.

How many acute angles must an acute triangle have?

a)

2

b)

1

c)

4

d)

3

41.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

42.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

43.

If a triangle with vertices of (-3,0), (0,3), (3,0), classify it by its sides.

a)

Isosceles

b)

Scalene

c)

Equilateral

d)

Obtuse

44.

Calculate the length for each side of the triangle.

a)

AB = 3.6, BC = 4.5, AC = 4.1

b)

AB = 4.1, BC = 5.6, AC = 7.5

c)

AB = 4.5, BC = 3.6, AC = 4.1

d)

AB = 4.1, BC = 3.6, AC = 4.5

45.

If a triangle is a right triangle, what do you know about the slopes of two of the sides of the triangle?

a)

Their slopes are the same

b)

Their slopes are opposites

c)

Their slopes are reciprocals

d)

Their slopes are opposite reciprocals

46.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

47.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

48.

Choose a correct equation to find x.

a)

4x - 2 + 12x + 1 = 75

b)

4x - 2 + 75 = 12x + 1

c)

4x - 2 + 75 + 12x + 1 = 180

d)

4x - 2 - 75

49.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

50.

Review your 5-2 notes to ensure that you understand the Third Angles Theorem!!!

a)

REVIEW!!!

b)

Choose A

51.

a)

FG≌JK

b)

∠FGH≌∠JKH

c)

∠GFH≌∠KJH

d)

∠GHF≌∠KHJ

52.

a)

MP≌PM by the Reflexive Property

b)

LP≌NP by the Reflexive Property

c)

MP≌PM by the Symmetric Property

d)

LP≌NP by the Symmetric Property

53.

a)

Vertical Angles

b)

Symmetric Property

c)

Reflexive Property

d)

Transitive Property

54.

a)

AB≌BD

b)

AB≌CD

c)

BD≌CD

d)

∠A≌∠C

55.

Determine if the two triangles are congruent. If so, state the postulate.

a)

ASA

b)

Not enough information

c)

SSS

d)

SAS

56.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

ASA

b)

AAS

c)

Not enough information

d)

SSS

57.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

When we have a reflexive side

d)

SSA

58.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△YXW

b)

Yes, △CBA≅△WXY

c)

Yes, △BCA≅△XYW

d)

No

59.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△NLM

b)

Yes, △CBA≅△NLM

c)

Yes, △CBA≅△MLN

d)

No

60.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

61.

Which Angle is included between AB and AC?

a)

Angle A

b)

Angle B

c)

Angle C

62.

Which angle is included between sides BC and AC

a)

Angle A

b)

Angle B

c)

Angle C

63.

What side is included between angle D and Angle E?

a)

Side DF

b)

Side DE

c)

Side EF

d)

Angle F

64.

What side is included between Angle Y and Angle Z

a)

Side XY

b)

Side XZ

c)

Side YZ

d)

angle X

65.

True or False: Angle A is included between sides BC and CA

a)

True

b)

False

c)

Side AB

d)

Angle C

66.

a)

A

b)

B

c)

C

d)

D

67.

Find the value of x

a)

41

b)

45

c)

31

d)

98

68.

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

69.

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

a)

sides

b)

vertices

c)

angles

d)

measures

70.

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°

71.

Find x

a)

3

b)

4

c)

2

d)

10

72.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

73.

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

a)

two angles are congruent

b)

the third side is congruent

c)

three angles are congruent

d)

no other relationships exist

74.

When we are given two angles of a triangle are congruent, we can prove ____________________.

a)

three sides are congruent

b)

two sides are congruent

c)

three angles are congruent

d)

no other relationships exist

75.

Fill in statement #3.

a)

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

b)

$\overline{AC}\ \cong\ \overline{CA}$

c)

$\angle BAC\cong\angle DAC$

d)

$\angle B\cong\angle D$

76.

Fill in statement #4.

a)

$\Delta ABC\cong\Delta ADC$

b)

$\Delta ABC\cong\Delta ACD$

c)

$\Delta BAC\cong\Delta ADC$

d)

$\angle B\cong\angle D$

77.

Fill in reason #4.

a)

ASA

b)

HL

c)

SSA

d)

SAS

78.

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

a)

sides

b)

vertices

c)

angles

d)

measures

Geometry Chapter 5 Review

Total questions: 78

Worksheet time: 2hrs 56mins

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