Free Printable GEOMETRY UNIT 5: TRIANGLE CONGRUENCE

1.

Which statement is always true about two congruent polygons?

a)

Corresponding sides are always congruent.

b)

Corresponding angles are always right angles.

c)

Corresponding sides are always parallel.

d)

They are the same shape but different size.

2.

Which statement is always true about two congruent polygons?

a)

The number of angles & sides is always the same.

b)

Corresponding sides are always parallel.

c)

Corresponding angles are always right angles.

d)

They can be different sizes.

3.

FD = ≅

a)

IK

b)

KJ

c)

JI

d)

EF

4.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

5.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

6.

∠W = ≅

a)

∠I

b)

∠G

c)

∠H

7.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

8.

∆ISR ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

9.

∠P≅

a)

∠J

b)

∠M

c)

∠T

10.

m∠P=

a)

73

b)

48

c)

59

11.

m∠J=

a)

73

b)

48

c)

59

12.

JM=≅

a)

HS

b)

PH

c)

PS

13.

MT=

a)

5

b)

8

c)

12

14.

x =

a)

90°

b)

65°

c)

25°

15.

x =

a)

60

b)

70

c)

50

d)

25

16.

x =

a)

87

b)

42

c)

17

d)

8

17.

x =

a)

24

b)

40

c)

32

18.

x =

a)

9

b)

10

c)

12

19.

x =

a)

7

b)

8

20.

x =

a)

9

b)

11

c)

17

21.

If ∆PIG ≅ ∆COW, ∠P≅∠?

a)

C

b)

O

c)

W

22.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

23.

If ∆PIG ≅ ∆COW, WO≅?∠P + ∠G =

a)

∠C + ∠W

b)

∠O + ∠W

c)

∠C + ∠O

24.

$\overline{JK}\ \cong\ ?$

a)

$\overline{KX}$

b)

$\overline{JK}$

c)

$\overline{XJ}$

d)

$\overline{KI}$

25.

$\overline{CB}\ \cong\ ?$

a)

$\angle I$

b)

$\overline{GI}$

c)

$\overline{IB}$

d)

$\overline{BG}$

26.

$\overline{LK}\ \cong\ ?$

a)

$\overline{JE}$

b)

$\overline{JF}$

c)

$\overline{EF}$

d)

$\overline{KJ}$

27.

$\overline{ML}\ \cong\ ?$

a)

$\overline{CL}$

b)

$\overline{LD}$

c)

$\overline{DC}$

d)

$\overline{NL}$

28.

$\overline{BC}\ \cong\ ?$

a)

$\overline{XW}$

b)

$\overline{XY}$

c)

$\overline{YW}$

d)

$\overline{BC}$

29.

$\angle D\ \cong\ ?$

a)

$\angle X$

b)

$\angle W$

c)

$\angle Y$

d)

$\angle C$

30.

$\angle NLM\ \cong\ ?$

a)

$\angle DLC$

b)

$\angle D$

c)

$\angle N$

d)

$\angle C$

31.

$\angle EJF\ \cong\ ?$

a)

$\angle L$

b)

$\angle E$

c)

$\angle LJK$

d)

$\angle F$

32.

$\angle CBD\ \cong\ ?$

a)

$\angle G$

b)

$\angle I$

c)

$\angle IBG$

d)

$\angle C$

33.

$\angle I\cong\ ?$

a)

$\angle X$

b)

$\angle XKJ$

c)

$\angle KJX$

d)

$\angle IJK$

34.

Write a congruence statement for the triangles.

a)

$\Delta TUV\cong\Delta LJV$

b)

$\Delta TUV\cong\Delta JVL$

c)

$\Delta UTV\cong\Delta LVJ$

d)

$\Delta UTV\cong\Delta JVL$

35.

Write a congruence statement for the triangles.

a)

$\Delta IHG\cong\Delta QRP$

b)

$\Delta HIG\cong\Delta QPR$

c)

$\Delta IHG\cong\Delta RQP$

d)

$\Delta GHI\cong\Delta QPR$

36.

Write a congruence statement for the triangles.

a)

$\Delta RQS\cong\Delta WRV$

b)

$\Delta QSR\cong\Delta VRW$

c)

$\Delta RQS\cong\Delta RVW$

d)

$\Delta SRQ\cong\Delta VWR$

37.

Write a congruence statement for the triangles.

a)

$\Delta SRT\cong\Delta WUS$

b)

$\Delta SRT\cong\Delta SUW$

c)

$\Delta STR\cong\Delta SUW$

d)

$\Delta TSR\cong\Delta USW$

38.

Write a congruence statement for the triangles.

a)

$\Delta LMK\cong\Delta YXZ$

b)

$\Delta LMK\cong\Delta ZYX$

c)

$\Delta MLK\cong\Delta ZYX$

d)

$\Delta MLK\cong\Delta XYZ$

39.

Which set of directions describes the translation from ABCD to A'B'C'D'?

a)

Down 6, left 3

b)

Down 3, right 6

c)

Up 3, left 6

d)

Up 6, right 3

40.

After a figure has been transformed, we call the new figure the...

a)

Image

b)

Different shape

c)

Figure that moved

d)

Prime

41.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

42.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

43.

What is the best description for why two shapes are congruent after a reflection?

a)

They aren't.

b)

It's the same shape in a different place.

c)

The sides and angles do not change when you reflect.

d)

It's a reflection.

44.

What symbol is used to show that two things are congruent?

a)

≠

b)

≅

c)

≡

d)

=

45.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

46.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right 2, down 5

b)

right 2, down 9

c)

left 2, up 9

d)

left 2, down 9

47.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

48.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

49.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

50.

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)

51.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

52.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

53.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

54.

The result of a transformation.

a)

Pre-image

b)

Image

55.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

56.

What direction is the x-axis?

a)

horizontal

b)

vertical

c)

diagonal

d)

straight

57.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

58.

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

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

59.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

60.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

61.

Describe the transformation.

a)

translation: right 4 and up 6

b)

reflection across x=-2

c)

translation right 6 and down 1

d)

reflection across y=-2

62.

Describe the transformation.

a)

translation: right 3 and down 2

b)

felfection across y=-x

c)

rotation 180 degrees about the origin

d)

rotation 90 degrees clockwise about the origin

63.

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

a)

b)

c)

d)

64.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

65.

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

66.

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

67.

Describe the transformation shown in the graph.

a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Rotate 270 degrees CCW

d)

Rotate 90 degress CCW

68.

Which answers are showing a reflection?

a)

a and c

b)

b and c

c)

c and d

d)

a and d

69.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

70.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

71.

The point that is to be transformed is called the:

a)

Pre-Image

b)

Image

c)

Post-Image

d)

Transformation

72.

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

a)

40^o

b)

50^o

c)

90^o

d)

45^o

73.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

74.

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

75.

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.

a)

10

b)

2

c)

12

d)

30

76.

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PQ.

a)

12

b)

10

c)

2

d)

30

77.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

78.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

79.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

No, this is the SSA one!!

80.

Are these triangles congruent?

a)

Yes, by SAS

b)

Yes, by SSS

c)

No they are not congruent

d)

Not enough information to know for sure

81.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

No, they are not congruent

82.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by HL

83.

How are the triangles congruent?

a)

AAS

b)

SAS

c)

ASA

d)

SSS

84.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

HL

85.

How are the triangles congruent?

a)

HL

b)

SAS

c)

ASA

d)

AAS

86.

Which property states that ∠A ≅ ∠A?

a)

Distributive Property

b)

Addition Property

c)

Multiplication Property

d)

Reflexive Property

87.

How are the triangles congruent?

a)

ASA

b)

AAS

c)

SAS

d)

SSS

88.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

89.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

HL

90.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

91.

The figure shows the drawing of a boat. Find the measure of angles 1, 2, and 3.

a)

∠2 = 46°, ∠3 = 134°, ∠1 = 112°

b)

∠2 = 42°, ∠3 = 138°, ∠1 = 110°

c)

∠2 = 134°, ∠3 = 46°, ∠1 = 112°

d)

∠2 = 138°, ∠3 = 42°, ∠1 = 110°

92.

Which congruence statement about this figure can be drawn using the Reflexive Property, and which Triangle Congruence Theorem would then prove the triangles congruent?

a)

PR ≅ PR, SSS

b)

PR ≅ PR, SAS

c)

∠P ≅ ∠ P, SSS

d)

∠Q ≅ ∠ S, SAS

93.

a)

A

b)

B

c)

C

d)

D

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A

b)

B

c)

C

d)

D

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

A

b)

B

c)

C

d)

D

101.

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

a)

SSS

b)

ASA

c)

SSA

d)

HL

102.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not enough information

103.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not enough information

104.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

105.

On what type of Triangle can the HL Congruence Theorem be used?

a)

Right Triangles

b)

Isosceles Triangles

c)

Acute triangles

d)

Equilateral triangles

106.

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

a)

AAS

b)

HL

c)

SSS

d)

N/A

107.

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select not enough information.

a)

ASA

b)

SAS

c)

AAS

d)

Not enough information

108.

What is the missing piece of information required to prove these triangles congruent?

a)

QY ≅ QY

b)

NY ≅ PY

c)

∠N ≅ ∠P

d)

QY is the perpendicular bisector

109.

What are the 2 missing pieces of information?

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

110.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

111.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

112.

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

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

113.

What is statement #2?

a)

∠ABC≅∠EDC

b)

∠BCA≅∠DCE

c)

BC≅CD

d)

∠E≅∠A

114.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

115.

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

116.

If AD bisects <EDI, then

a)

<ADE=<IDA

b)

IA=AE

c)

ID=ED

d)

All of the above

117.

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

118.

Find the value of x.

a)

4

b)

1

c)

-5

d)

-1/2

119.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

120.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

121.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

122.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

123.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

124.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

125.

What is Reason D?

a)

Vertical Angle Theorem

b)

Reflexive Property

c)

Definition of Congruence

d)

Definition of Vertical Angles

126.

What is Reason E?

a)

Vertical Angle Theorem

b)

CPCTC

c)

Definition of Congruence

d)

Definition of Vertical Angles

127.

What is Reason F?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

128.

What is Reason B?

a)

Definition of Congruence

b)

Thm 1 - Congruence of Segments is Reflexive

c)

Reflexive Property

d)

CPCTC

129.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

130.

What is Reason B?

a)

Reflexive Property

b)

Definition of Congruence

c)

CPCTC

d)

Thm 1 - Congruence of Segments is Reflexive

131.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

132.

What is Reason B?

a)

Definition of Equality

b)

Definition of Congruence

c)

Definition of Bisector

d)

Definition of Midpoint

133.

What is Reason C?

a)

Definition of Equality

b)

Definition of Congruence

c)

Definition of Bisector

d)

CPCTC

134.

What is Reason D?

a)

Thm 1 - Congruence of Segments is Reflexive

b)

Definition of Congruence

c)

Definition of Equality

d)

Reflexive Property

135.

What is Reason E?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

136.

What is Reason F?

a)

Given

b)

Definition of Congruence

c)

Triangle Congruence

d)

CPCTC

137.

What is Reason B?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

138.

What is Reason C?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

139.

What is Reason D?

a)

Definition of Congruence

b)

Thm 1 - Congruence of Segments is Reflexive

c)

Reflexive Property

d)

Definition of Equality

140.

What is Reason E?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

141.

What is Reason F?

a)

CPCTC

b)

Given

c)

Definition of Congruence

d)

Definition of Perpendicular

GEOMETRY UNIT 5: TRIANGLE CONGRUENCE

Total questions: 141

Worksheet time: 3hrs 3mins

Similar Resources on Wayground