Free Printable Triangle Congruence and Properties

1.

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.

2.

What congruency postulate proves the triangles congruency?

a)

SAS

b)

ASA

c)

SSS

d)

HL

3.

When do you use "CPCTC in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

NEver

4.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

5.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

6.

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

a)

A)

b)

B)

c)

C)

d)

D)

7.

What additional information is required to prove the two triangles are congruent by HL?

a)

A)

b)

B)

c)

C)

d)

D)

8.

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

a)

SSA

b)

ASA

c)

SAS

d)

SSS

9.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

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

10.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

11.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

12.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

13.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

14.

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

a)

Vertical Angle Theorem

b)

given

c)

reflexive property

d)

proof

15.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

16.

Given

\Delta ABC\ \cong\Delta DEF\

\angle A\ \cong\ ?

a)

$\angle D$

b)

$\angle E$

c)

$\angle F$

d)

$\angle C$

17.

Given

\Delta ABC\ \cong\Delta DEF\

\angle C\ \cong\ ?

a)

$\angle D$

b)

$\angle E$

c)

$\angle F$

d)

$\angle A$

18.

Given

\Delta ABC\ \cong\Delta DEF\

\overline{BC}\ \cong\ ?

a)

$\overline{DE}$

b)

$\overline{EF}$

c)

$\overline{DF}$

d)

$\overline{FE}$

19.

Given

\Delta ABC\ \cong\Delta DEF\

\overline{CA}\ \cong\ ?

a)

$\overline{DE}$

b)

$\overline{EF}$

c)

$\overline{DF}$

d)

$\overline{FD}$

20.

$\Delta PET\cong\Delta DOG$

Which of the following are TRUE

a)

$\angle P\cong\angle D$

b)

$\overline{TE}\cong\overline{GO}$

c)

$\angle T\cong\angle O$

d)

$\overline{TP}\cong\overline{GD}$

e)

$\overline{TE}\cong\overline{OG}$

21.

$\Delta ABC\ \cong\Delta?$

a)

$\Delta EFD$

b)

$\Delta DFE$

c)

$\Delta DEF$

d)

$\Delta FED$

22.

$\Delta ABC\ \cong\ ?$

a)

$\Delta EDF$

b)

$\Delta DFE$

c)

$\Delta EFD$

d)

$\Delta DEF$

23.

$If\ \Delta ABC\cong\Delta XYZ,\ then\ \overline{AC}\cong\overline{XZ}$
Is it TRUE or FALSE?

a)

TRUE

b)

FALSE

24.

Complete the congruence statement:
$If\ \Delta FHG\cong\Delta KLM,\ then\ \angle F\cong$ ____

a)

$\angle M$

b)

$\angle L$

c)

$\angle K$

d)

$\angle F$

25.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

26.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

27.

CPCTC stands for _________.

a)

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent

b)

CPCTC stands for Corresponding Parts of Corresponding Triangles are congruent

c)

CPCTC stands for Congruent Parts of Corresponding Triangles are Congruent

d)

CPCTC stands for Congruent Parts of Congruent Triangles are Congruent

28.

If two triangles are congruent, what can we conclude about their corresponding parts?

a)

Their corresponding parts are not congruent.

b)

Their corresponding parts are congruent.

c)

Their corresponding parts are similar.

d)

Their corresponding parts are parallel.

29.

Given that triangle ABC is congruent to triangle DEF, if angle A is congruent to angle D, what can we conclude about angle B and angle E?

Select the 2 best answers.

a)

$m\angle B=m\angle E$

b)

$\angle B\cong\angle E$

c)

$m\angle B\ne m\angle E$

d)

$\angle B\ is\ not\ \cong\angle E$

30.

In congruent triangles, the measures of corresponding parts are always ______.

a)

opposite

b)

equal

c)

equilateral

d)

acute

31.

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

32.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

33.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

34.

IF ∆ABC≅∆XYZ
which statement is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

35.

$\angle A\ \cong_{ }$ ____

a)

$\angle M$

b)

$\angle N$

c)

$\angle L$

36.

If ΔDEF ≅ ΔRST, then we can conclude that $\overline{DE}\cong$ ____?

a)

$\overline{ST}$

b)

$\overline{RS}$

c)

$\overline{DF}$

d)

$\overline{RT}$

37.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

$\overline{AB}\ \cong\overline{AZ}$

b)

$\angle B\cong\angle Y$

c)

$\angle X\cong\angle C$

d)

$\overline{AC}\cong\overline{XC}$

38.

Given: $\Delta QRP\cong\Delta QRC$
Complete the congruence statement.

$\angle PQR\cong_{ }$

a)

$\angle QRC$

b)

$\angle CQR$

c)

$\angle CRQ$

d)

$\angle QPR$

39.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

40.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

41.

Given: ∆MAN ≅∆DEN

∠END ↔ ___

a)

∠AMN

b)

∠NMA

c)

∠MNA

d)

∠ANM

42.

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

43.

Solve for x if $\Delta$ ABC = $\Delta$ DEF

a)

4.5

b)

5

c)

5.5

d)

6

44.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

45.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

46.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

47.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

48.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

49.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

50.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

51.

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

52.

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

a)

ST

b)

RS

c)

DF

d)

RT

53.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = AZ

b)

∠B ≅ ∠Y

c)

∠X ≅ ∠C

d)

AC = XC

54.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = YZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠C

d)

AC = XY

55.

a)

A

b)

B

c)

C

d)

D

56.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

57.

Given: ∆MAN ≅∆DEN ∠MAN = ___

a)

∠DEN

b)

∠NED

c)

∠END

d)

∠EDN

58.

Given: ∆MAN ≅∆DEN

∠END = ___

a)

∠AMN

b)

∠NMA

c)

∠MNA

d)

∠ANM

59.

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.

60.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

61.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

62.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

63.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

64.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

65.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

66.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

67.

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

68.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

69.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

70.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

71.

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

a)

ST

b)

RS

c)

DF

d)

RT

72.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = AZ

b)

∠B ≅ ∠Y

c)

∠X ≅ ∠C

d)

AC = XC

73.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = YZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠C

d)

AC = XY

74.

a)

A

b)

B

c)

C

d)

D

75.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

76.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

Triangle Congruence and Properties

Total questions: 76

Worksheet time: 3hrs 25mins

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