Free Printable Proving Triangles Congruent

1.

a)

SSS

b)

SAS

c)

AAS

d)

ASA

2.

a)

SSS

b)

SAS

c)

AAS

d)

HL

3.

a)

AAS

b)

SAS

c)

ASA

d)

SSA

4.

a)

SSS

b)

SAS

c)

AAA

d)

ASA

5.

a)

SSS

b)

SAS

c)

SSA

d)

HL

6.

a)

SSS

b)

AAS

c)

ASA

d)

HL

7.

a)

ASA

b)

SAS

c)

AAS

d)

HL

8.

How many angles and how many sides are marked congruent?

a)

2 angles, 1 side

b)

0 angles, 3 sides

c)

1 angle, 2 sides

d)

3 angles, 0 sides

9.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

10.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

11.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

12.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

13.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

14.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

15.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

16.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

17.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

18.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

19.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

20.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

21.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

22.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

23.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

24.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

25.

a)

SAS

b)

None

c)

SSS

d)

ASA

26.

∆ABC ≅ ∆LMN. Which statement is NOT true?

a)

LM ≅ AB

b)

∆CAB ≅ ∆NLM

c)

∠C ≅ ∠N

d)

BC ≅ ML

27.

How do you know the following statement is true?

\angle A\cong\angle C

a)

Third Angle Theorem

b)

Corresponding Angles Theorem

c)

Alternate Interior Angles Theorem

d)

Vertical Angle Theorem

28.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

29.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

30.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

31.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

32.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

33.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

34.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

35.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

36.

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

no, not enough information

37.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

SSS

38.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

39.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

40.

∆ABC≅∆XYZ

which is true?

a)

AB≅XY

b)

AB≅YZ

c)

AB≅XZ

d)

BC≅AB

41.

∆EHG≅∆KFC

Which is a true statement?

a)

EH≅FC

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

42.

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.

43.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

$\Delta\ ABC\ \cong\ \Delta DFE$

d)

$\Delta ABC\ \cong\Delta\ DEF$

44.

$\angle AXB\cong\angle CXD$ How do you know the following is true?

a)

Corresponding Angle Theorem

b)

Alternate Interior Angle Theorem

c)

Vertical Angle Theorem

d)

Third Angle Theorem

45.

How do you know the following is true?
$\Delta ABX\cong\Delta CDX$

a)

SAS

b)

AAS

c)

ASA

d)

SSA

46.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

47.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

48.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

49.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

50.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

51.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

52.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

53.

What addition piece of information would allow you to conclude that $\Delta DEF\cong\Delta PQR$ using SAS?

a)

$\angle D\cong\angle P$

b)

$\angle E\cong\angle Q$

c)

$\angle D\cong\angle Q$

d)

$\angle F\cong\angle R$

54.

What additional information can be used to show that $\Delta ABC\cong\Delta DEF$ by AAS? Select all that apply.

a)

$\angle B\cong\angle F$

b)

$\angle B\cong\angle E$

c)

$\angle A\cong\angle F$

d)

$\angle C\cong\angle F$

55.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

56.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

57.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

58.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

59.

Which is NOT a shortcut to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

60.

$ΔCZH≅Δ$ _____ by _____

a)

ΔZET , AAA

b)

ΔEZT , AAA

c)

ΔZET , SAS

d)

Cannot Be Determined

61.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

62.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

63.

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

Proving Triangles Congruent

Total questions: 63

Worksheet time: 5hrs 15mins

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