Free Printable SSS, SAS, HL Triangle Congruency

1.

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

a)

SAS

b)

N/A

c)

ASA

d)

SSS

2.

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

a)

SAS

b)

HL

c)

N/A

d)

SSS

3.

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

a)

ASA

b)

SAS

c)

AAS

d)

N/A

4.

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

a)

ASA

b)

SSA

c)

AAS

d)

N/A

5.

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

6.

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

a)

SAS

b)

HL

c)

ASA

d)

N/A

7.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

8.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

9.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

10.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

11.

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

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

12.

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)

$\Delta ADB\cong\Delta BCA$

13.

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

a)

SSS

b)

SAS

c)

ASA

d)

HL

14.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

15.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

16.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

17.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

18.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

19.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta LEO\cong\Delta OVE$

b)

$\Delta OEV\cong\Delta OLE$

c)

$\Delta OVL\cong\Delta OLV$

d)

$\Delta OLE\cong\Delta OVE$

20.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

21.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

$\overline{MK}\ =\overline{GI}$

b)

$\angle GIH\ =\ \angle MKL$

c)

$\angle MLK=\angle GHI$

22.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

$\overline{RT}\ =\overline{XZ}$

b)

$\angle RST\ =\ \angle XYZ$

c)

$\overline{SR}\ =\overline{YX}$

23.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

24.

What shortcut would you use to prove the triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

25.

What shortcut would you use to prove the triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

26.

What shortcut would you use to prove the triangles congruent?

a)

Not enough information

b)

SAS

c)

ASA

d)

SSA

27.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

Not enough information

28.

ΔABC ≅ Δ_____ by _____

a)

ΔDFE , SAS

b)

ΔDFE , SSA

c)

ΔDEF , SSA

d)

Cannot Be Determined

29.

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

a)

SSS

b)

ASA

c)

SSA

d)

HL

30.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

31.

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

a)

SSS

b)

ASA

c)

SSA

d)

HL

32.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

33.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

34.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

35.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

36.

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

a)

SSS

b)

SAS

c)

ASA

d)

HL

37.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

38.

Congruent by

a)

SSS

b)

None

c)

SAS

d)

SSA

39.

If you add up all of the angle measures in a triangle the total would be.....

a)

360 degrees

b)

180 degrees

40.

What does the word CONGRUENT mean?

a)

Cranky

b)

Different

c)

The Same

d)

Crazy

41.

Which of the following cannot be used to prove triangles congruent?

a)

HL

b)

AAA

c)

SSS

d)

SAS

42.

What information is missing to determine if the triangles are congruent by HL?

a)

∠G ≅ ∠X

b)

∠H ≅ ∠W

c)

GI ≅ XV

d)

GH ≅ XW

43.

What information is missing to determine if the triangles are congruent by SAS?

a)

CA≅ NL

b)

∠C ≅ ∠N

c)

∠A ≅ ∠L

d)

∠B ≅ ∠M

44.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

HL

b)

ASA

c)

SAS

d)

AAS

e)

Not Enough Information

45.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

SSS

b)

ASA

c)

SAS

d)

HL

e)

Not Enough Information

46.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

SSS

b)

ASA

c)

SAS

d)

HL

e)

Not Enough Information

47.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

SSS

b)

ASA

c)

SAS

d)

HL

e)

Not Enough Information

48.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

e)

Not Enough Information

49.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

HL

b)

ASA

c)

SAS

d)

AAS

e)

Not Enough Information

50.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

HL

b)

ASA

c)

SAS

d)

AAS

e)

Not Enough Information

51.

What is the measure of angle 1? (Type number only)

(a)

52.

What is the measure of angle m? (type number only)

(a)

53.

Given triangle PQR is congruent to triangle STU, what is the length of line segment PQ? (type number only)

(a)

54.

What is length of line segment RT?

a)

1.5

b)

9

c)

13.5

d)

18

55.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

56.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

57.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

58.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

SSS

b)

ASA

c)

SAS

d)

HL

e)

Not Enough Information

59.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

60.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

61.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

62.

∆PRQ≅∆SRT

a)

TRUE

b)

FALSE

63.

PR≅RT

a)

TRUE

b)

FALSE

64.

Solve for x (type number only)

(a)

65.

Solve for y (type number only)

(a)

66.

Find the measure of $\angle\ T$ (type number only)

(a)

67.

Find the measure of $\angle\ B$ (type number only)

(a)

68.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

69.

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

a)

SSS

b)

SAS

c)

Not possible

70.

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

a)

SAS

b)

SSS

c)

Not Possible

SSS, SAS, HL Triangle Congruency

Total questions: 70

Worksheet time: 2hrs 20mins

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