Free Printable Triangle Congruence Postulates by Rigid Transformations

1.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

2.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

3.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

4.

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

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

5.

What transformation is shown?

a)

Reflection

b)

Rotation

c)

Translation

6.

Describe the Transformation

a)

Translation

b)

Reflection

c)

Rotation

7.

What transformation is this?

a)

Reflection

b)

Rotation

c)

Transformation

8.

Solve for x

a)

5

b)

4

c)

3

d)

2

9.

How are the triangles congruent? (Name a Postulate and Rigid Transformation).

a)

SAS by Rotation

b)

ASA by Rotation

c)

SAS by Reflection

d)

ASA by Reflection

10.

What congruency postulate proves the triangles' congruency, and by which rigid transformation?

a)

SAS by Rotation

b)

ASA by Rotation

c)

SAS by Reflection

d)

ASA by Reflection

11.

What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?

Which rigid transformation would be used here?

a)

Reflection

b)

SAS

c)

SSS

d)

HL

e)

Rotation

12.

Find the value of x if AR is a perpendicular bisector of BC.

a)

1

b)

2

c)

3

d)

4

13.

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

a)

A

b)

B

c)

C

d)

D

14.

Are these triangles congruent by SSS and, if so, using which rigid transformation?

a)

Yes, using reflection

b)

NO

c)

Yes, using rotation

15.

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

a)

A

b)

B

c)

C

d)

D

16.

Are these triangles congruent? If so, by which postulate(s) and rigid transformation(s)?

a)

Yes, by AAS and reflection

b)

No

c)

Yes, by SSA and reflection

d)

Yes, by AAS and rotation

e)

Yes, by SSA and rotation

17.

Which statement would make these 2 triangles congruent by SSS?

a)

$\overline{DE}\ \cong\overline{AB}$

b)

$\overline{ED}\cong\overline{AB}$

c)

$\overline{BA}\cong\overline{ED}$

d)

$\overline{CA}\cong\overline{CE}$

18.

Name the postulate and rigid transformation that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Reflection

e)

Rotation

19.

If M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

a)

Addition POE

b)

Def. of Midpoint

c)

Reflexive POE

d)

Symmetric

20.

If <1 and <2 are complementary, then m<1 + m<2 = 90

a)

Addition POE

b)

Subtraction POE

c)

Def of right angle

d)

Def of Complementary Angles

21.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

22.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

23.

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.

24.

AB = AB

a)

Reflexive POE

b)

Transitive POE

c)

Symmetric POE

d)

Distributive POE

25.

Which is the correct reason for statement 2 in the proof?

a)

Given

b)

Transitive Property

c)

Definition of Congruent Angles

d)

Vertical Angles are congruent.

26.

Which symbol means "perpendicular"?

a)

∏

b)

∥

c)

∠

d)

⊥

27.

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

a)

A)

b)

B)

c)

C)

d)

D)

28.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

29.

IF <ABC ≅ <DEF, then m<ABC = m<DEF

a)

Reflexive POE

b)

Addition POE

c)

Def. of congruent angles

d)

Def. of right angles

30.

If X is between R & T on a line,
then RX + XT = RT

a)

Addition POE

b)

Substitution POE

c)

Angle Addition Post.

d)

Segment Addition Post.

31.

What is the reason?

a)

Definition of Complementary

b)

Definition of 180

c)

Definition of supplementary

d)

Angle Addition

32.

Which property justifies the next step?

a)

Segment addition postulate

b)

Definition of an angle bisector

c)

Angle addition postulate

d)

Definition of right angles

33.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

34.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

35.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

36.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

37.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

38.

What is the "reason" for step 5 of the proof?

a)

Vertical Angle Theorem

b)

proof

c)

def. of angle bisector

d)

CPCTC

39.

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

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

40.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

41.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

42.

What is the REASON for Statement #2?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

43.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

44.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

45.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

46.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

47.

What is Reason D?

a)

Vertical Angle Theorem

b)

Reflexive Property

c)

Definition of Congruence

d)

Definition of Vertical Angles

48.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

49.

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

a)

WV

b)

WU

c)

VU

d)

WB

50.

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

51.

What statement and reason goes in the boxes labeled "1"?

a)

S: $\angle2\ \cong\ \angle1$

R: Alt Int $\angle$ Thm

b)

S: $\angle1\ \cong\ \angle4$

R: Alt Int $\angle$ Thm

c)

S: $\angle2\ \cong\ \angle4$

R: Alt Int $\angle$ Thm

d)

S: $\angle3\ \cong\ \angle1$

R: Alt Int $\angle$ Thm

52.

What statement and reason goes in the boxes labeled "2"?

a)

S: $\angle3\ \cong\ \angle4$

R: Alt Int $\angle$ Thm

b)

S: $\angle1\ \cong\ \angle4$

R: Alt Int $\angle$ Thm

c)

S: $\angle2\ \cong\ \angle4$

R: Alt Int $\angle$ Thm

d)

S: $\angle3\ \cong\ \angle1$

R: Alt Int $\angle$ Thm

53.

What statement and reason goes in the boxes labeled "3"?

a)

S: $\overline{ZX}\ \cong\ \overline{ZX}$

R: Reflexive PoC

b)

S: $\overline{ZW}\ \cong\ \overline{ZW}$

R: Reflexive PoC

c)

S: $\overline{YX}\ \cong\ \overline{YX}$

R: Reflexive PoC

d)

S: $\overline{ZY}\ \cong\ \overline{WX}$

R: Opposite sides are $\cong$

54.

What statement and reason goes in the boxes labeled "4"?

a)