Free Printable Test 5: Triangle Congruence Proofs Review

1.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

2.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

3.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

4.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

5.

What is Reason B?

a)

Definition of Equality

b)

Definition of Congruence

c)

Definition of Bisector

d)

Definition of Midpoint

6.

What is Reason F?

a)

Given

b)

Definition of Congruence

c)

Triangle Congruence

d)

CPCTC

7.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

8.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

9.

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

a)

A

b)

B

c)

C

d)

D

10.

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

a)

AD = DA

b)

AN = AH

c)

HD = ND

d)

HD = DN

11.

a)

Symmetric Property of ≅ ; SSS

b)

Reflexive Property of ≅ ; SAS

c)

Reflexive Property of ≅ ; SSS

d)

Symmetric Property of ≅; SAS

12.

What is Reason B?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

13.

What is Reason C?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

14.

What is Reason D?

a)

Definition of Congruence

b)

Thm 1 - Congruence of Segments is Reflexive

c)

Reflexive Property

d)

Definition of Equality

15.

If DA bisects IE, then

a)

ID=ED

b)

IA=EA

c)

<IDA=<EDA

d)

<IAD and <EAD are right angles

16.

If AD bisects <EDI, then

a)

<ADE=<IDA

b)

IA=AE

c)

ID=ED

d)

All of the above

17.

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

18.

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

19.

If DA bisects EI, then

a)

<IDA = <EDA

b)

AI=EA

c)

Both 1 and 2 are correct

d)

DI=ED

20.

If DA is the perpendicular bisector or EI, then

a)

<IAD and <DAE are right angles

b)

DI=DE

c)

EA=IA

d)

Both 1 and 3 are correct

21.

An angle bisector cuts an angle into two congruent _________

a)

Angles!

b)

Segments

c)

Mysteries

22.

A segment bisector cuts a segment into two congruent

a)

Segments!

b)

Angles

c)

Mysteries

23.

In this picture, we know for sure that

a)

<TEB=<ETS

b)

<BTE=<SET

c)

BE=ST

d)

Both 1 and 2 are correct

24.

In this picture,

a)

<BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other

b)

<C=<C because they are vertical angles and vertical angles are always congruent to each other

c)

<EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other

d)

None of the above; we don't actually have vertical angles

25.

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

26.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

b)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

c)

$\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

d)

$\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

27.

In this picture, we know for sure that

a)

m\angle TEB\ =\ m\angle ETS

b)

$m\angle BTE\ =\ m\angle SET$

c)

BE = ST

d)

Both 1 and 2 are correct

28.

Which additional information will prove the triangles congruent by HL?

a)

$\overline{GH\ }\ \cong\ \overline{SR}$

b)

$\overline{FG}$ ≅ $\overline{RT}$

c)

$\overline{FH}$ ≅ $\overline{ST}$

d)

$\overline{GH}$ ≅ $\overline{ST}$

29.

What is the correct values for x and y?

a)

x = 40, y = 35

b)

x = 35, y = 40

c)

x = 12, y = 30

d)

x = 30, y = 15

30.

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

a)

$\overline{WV}$

b)

$\overline{UW}$

c)

$\overline{VU}$

d)

$\overline{WB}$

31.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

32.

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

a)

A

b)

B

c)

C

d)

D

33.

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

a)

A

b)

B

c)

C

d)

D

34.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

35.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

36.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

37.

What is Reason B?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

38.

What is Reason F?

a)

Given

b)

Definition of Congruence

c)

Triangle Congruence

d)

CPCTC

39.

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

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

40.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

41.

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

a)

AD = AD

b)

AN = AH

c)

HD = ND

d)

HD = DN

42.

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)

43.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

44.

Supply the missing reasons to complete the proof.
Given: ∠Q ≅ ∠T; $\overline{QR}\ \cong\ \overline{TR}$

a)

3. ASA

4.Substitution

b)

3. SAS

4. CPCTC

c)

3. AAS

4. CPCTC

d)

3. ASA

4. CPCTC

45.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

46.

What is Reason D?

a)

Vertical Angle Theorem

b)

Reflexive Property

c)

Definition of Congruence

d)

Definition of Vertical Angles

47.

What is Reason E?

a)

Vertical Angle Theorem

b)

CPCTC

c)

Definition of Congruence

d)

Definition of Vertical Angles

48.

What is Reason F?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

49.

What is Reason B?

a)

Definition of Congruence

b)

Thm 1 - Congruence of Segments is Reflexive

c)

Reflexive Property

d)

CPCTC

50.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

51.

What is Reason B?

a)

Reflexive Property

b)

Definition of Congruence

c)

CPCTC

d)

Thm 1 - Congruence of Segments is Reflexive

52.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

53.

What is Reason C?

a)

Definition of Equality

b)

Definition of Congruence

c)

Definition of Bisector

d)

CPCTC

54.

What is Reason D?

a)

Thm 1 - Congruence of Segments is Reflexive

b)

Definition of Congruence

c)

Definition of Equality

d)

Reflexive Property

55.

What is Reason E?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

56.

What is Reason E?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

57.

What is Reason F?

a)

CPCTC

b)

Given

c)

Definition of Congruence

d)

Definition of Perpendicular

58.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

59.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

60.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

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

Test 5: Triangle Congruence Proofs Review

Total questions: 60

Worksheet time: 2hrs 31mins

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