Free Printable Unit 4: Congruent Triangles Review

1.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

2.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

3.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

4.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

5.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

6.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

7.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

8.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

9.

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

a)

SSA

b)

AAS

c)

SAS

d)

SSS

10.

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

a)

SAS

b)

SSA

c)

HL

d)

Not Congruent

11.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

12.

Find the measure of the indicated angle.

a)

$45\degree$

b)

$33\degree$

c)

$123\degree$

d)

$147\degree$

13.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

14.

The angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

15.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

16.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

17.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

18.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

19.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

20.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

21.

a)

equilateral

b)

isosceles

c)

scalene

22.

a)

equilateral

b)

isosceles

c)

scalene

23.

a)

acute

b)

obtuse

c)

right

24.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

25.

Find x

a)

90

b)

45

c)

22

d)

35

26.

What should be the value of x, y and z?

a)

x=43°

y=10

z=10

b)

x=43°

y=10

z=5

c)

x=47°

y=10

z=5

d)

x=47°

y=10

z=10

27.

Use the picture to answer the question.

a)

76

b)

28

c)

152

d)

56

28.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

29.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

30.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

31.

Find the measure of QA

(a)

32.

Find the measure of angle B.

(a)

33.

A base angle of an isosceles triangle is 18 more than 4 times the vertex angle. Find the measure of one of the base angles.

(a)

34.

Find x

(a)

35.

Find m<IGJ

(a)

36.

Find the measure of angle A

(a)

37.

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

a)

A

b)

B

c)

C

d)

D

38.

Which is NOT a way to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

39.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

40.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

41.

What is statement #3?

a)

FH≅FH

b)

GF≅GF

c)

IH≅IH

d)

GF≅FI

42.

What is reason #4?

a)

ASA

b)

SAS

c)

HL

d)

AAS

43.

Fill in the Blank

a)

NLP

b)

PLN

c)

PNL

d)

NPL

44.

Fill in the Blank

a)

DBC

b)

CBD

c)

CDB

d)

BDC

45.

Fill in the Blank

a)

MNP

b)

PNM

c)

NMP

d)

PMN

46.

Why are the triangles congruent?

a)

SSA

b)

HL

c)

They are not congruent

d)

SAS

47.

Why are the triangles congruent?

a)

They are not congruent

b)

ASA

c)

HL

d)

SAS

48.

Why are the triangles congruent?

a)

SAS

b)

ASA

c)

SSA

d)

HL

49.

Why are the triangles congruent?

a)

AAS

b)

not congruent

c)

ASA

d)

HL

50.

What reason completes step 2?

a)

Def congruent angles

b)

Alt Int Angles Thm

c)

VAT

d)

Def Angle Bisector

51.

Why are the triangles congruent?

a)

not congruent

b)

SAS

c)

SSA

d)

HL

52.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

53.

Find QS.

a)

4.7

b)

6.0

c)

2.6

d)

3.4

54.

Find AB.

(a)

55.

Solve for x.

(a)

56.

Find x, then the measure of JK

a)

x=5, JK=10

b)

x=10, JK=35

c)

x=15, JK=60

d)

x=15, JK=50

57.

What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

58.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

59.

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

60.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

61.

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

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

62.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

63.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

64.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

65.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

66.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

67.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

68.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

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

69.

What additional information is required to prove the 2 triangles are congruent by ASA

a)

A)

b)

B)

c)

C)

d)

D)

70.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

71.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by HL

72.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

73.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

74.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D

77.

Match the triangles to the congruence theorem.

a)

1.

SSS

b)

2.

AAS

c)

3.

SAS

d)

4.

ASA

78.

What is #4 Reason?

a)

Alternate Interior Angles

b)

Vertical Angles

c)

Reflexive Property

d)

Angle Bisector

79.

Look at this partial proof, Notice the given information. What would be the reason for statment #2?

a)

Definition of Midpoint

b)

Definition of congruence

c)

Transitive Property

d)

Substitution Property

80.

Which statement is true for

\Delta ABC\cong\Delta DEF

a)

$\angle A\cong\angle B$

b)

$\angle A\cong\angle F$

c)

$\angle A\cong\angle D$

d)

$\angle A\cong\angle E$

81.

Which statement is true for

\Delta ABC\cong\Delta DEF

a)

$\overline{BC}\cong\overline{DE}$

b)

$\overline{BC}\cong\overline{EF}$

c)

$\overline{BC}\cong\overline{DF}$

82.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

83.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

84.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

85.

Which of the following images shows a rotation of 180^o?

a)

b)

c)

d)

86.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

87.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

88.

Which graph shows the pre-image reflected over y-axis?

a)

b)

c)

d)

89.

After being transformed the new point is called a(n):

a)

Pre-Image

b)

Post Image

c)

Transformed

d)

Image

90.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

91.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

Unit 4: Congruent Triangles Review

Total questions: 91

Worksheet time: 7hrs 5mins

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