Free Printable Unit 3 Review #1

1.

Which statement is always true about two congruent polygons?

a)

The number of angles & sides is always the same.

b)

Corresponding sides are always parallel.

c)

Corresponding angles are always right angles.

d)

They can be different sizes.

2.

Which statement is always true about two congruent polygons?

a)

Corresponding sides are always congruent.

b)

Corresponding angles are always right angles.

c)

Corresponding sides are always parallel.

d)

They are the same shape but different size.

3.

Write a congruence statement for the triangles.

a)

$\Delta RQS\cong\Delta WRV$

b)

$\Delta QSR\cong\Delta VRW$

c)

$\Delta RQS\cong\Delta RVW$

d)

$\Delta SRQ\cong\Delta VWR$

4.

Write a congruence statement for the triangles.

a)

$\Delta LMK\cong\Delta YXZ$

b)

$\Delta LMK\cong\Delta ZYX$

c)

$\Delta MLK\cong\Delta ZYX$

d)

$\Delta MLK\cong\Delta XYZ$

5.

$\angle I\cong\ ?$

a)

$\angle X$

b)

$\angle XKJ$

c)

$\angle KJX$

d)

$\angle IJK$

6.

$\angle CBD\ \cong\ ?$

a)

$\angle G$

b)

$\angle I$

c)

$\angle IBG$

d)

$\angle C$

7.

a)

A

b)

B

c)

C

d)

D

8.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

9.

∆ABC ≅ ∆LMN. What is the value of t?

a)

11

b)

5/2

c)

5

d)

30/7

10.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

11.

In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?

a)

angle E

b)

angle F

c)

angle G

d)

angle H

12.

a)

SAA

b)

SAS

c)

ASA

13.

a)

AAA

b)

SAS

c)

SSS

d)

SSA

14.

a)

ASA

b)

SAS

c)

SSA

15.

a)

ASA

b)

SAS

c)

SAA

16.

Which is NOT a Shortcut that proves triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

17.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

18.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

19.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

20.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

21.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

22.

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

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

23.

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

a)

SSS

b)

SAS

c)

AAS

d)

ASA

24.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

25.

a)

ΔGFE=ΔSRQ

b)

ΔGFE=ΔQRS

c)

ΔGFE=ΔJIH

d)

ΔSRQ=ΔJIH

26.

a)

ΔTSU=ΔPRQ

b)

ΔTSU=ΔZYX

c)

ΔQRP=ΔXYZ

d)

ΔPRQ=ΔSUT

27.

a)

ΔABC=ΔJKI

b)

ΔXVW=ΔCBA

c)

ΔKJI=ΔVXW

d)

ΔCBA=ΔKJI

28.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

29.

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

30.

ΔABE ≅ Δ_____ by _____

a)

ΔCDE , ASA

b)

ΔEDC , AAS

c)

ΔCDE , AAS

d)

Cannot Be Determined

31.

ΔQTR ≅ Δ_____ by _____

a)

ΔSTR , ASA

b)

ΔSTR , AAS

c)

ΔSRT , AAS

d)

Cannot Be Determined

32.

ΔTVS ≅ Δ_____ by _____

a)

ΔTVU , ASA

b)

ΔVTU , ASA

c)

ΔTVU , SAS

d)

Cannot Be Determined

33.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

34.

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

a)

AAS

b)

ASA

c)

Not congruent

35.

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

a)

AAS

b)

ASA

c)

Not congruent

36.

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

a)

AAS

b)

ASA

c)

Not congruent

37.

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

a)

AAS

b)

ASA

c)

Not congruent

38.

State what additional information is required in order to know that the triangles are congruent for the given reason.

a)

∡IGH≅∡WGH

b)

∡GIH≅∡GWH

c)

∡IHG≅∡WHG

39.

State what additional information is required in order to know that the triangles are congruent for the given reason.

a)

∡VXW≅∡WCV

b)

∡XWV≅∡CVW

c)

∡XVW≅∡CWV

40.

State what additional information is required in order to know that the triangles are congruent for the given reason.

a)

∡W≅∡W

b)

∡E≅∡X

c)

∡V≅∡G

41.

State what additional information is required in order to know that the triangles are congruent for the given reason.

a)

∡KIJ≅∡KNJ

b)

∡IJK≅∡NJK

c)

∡IKJ≅∡NKJ

42.

State what additional information is required in order to know that the triangles are congruent for the given reason.

a)

∡L≅∡I

b)

∡J≅∡G

c)

∡K≅∡H

43.

State what additional information is required in order to know that the triangles are congruent for the given reason.

a)

∡SRQ≅∡EDC

b)

∡SQR≅∡ECD

c)

∡QSR≅∡CED

44.

Determine if the two triangles are congruent. If so, state the postulate.

a)

ASA

b)

Not enough information

c)

SSS

d)

SAS

45.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

SSS

b)

AAS

c)

Not enough information

d)

SAS

46.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

ASA

b)

SAS

c)

Not enough information

d)

AAS

47.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

Not enough information

b)

SSS

c)

SAS

d)

AAS

48.

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.

49.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

50.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

51.

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

a)

ST

b)

RS

c)

DF

d)

RT

52.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = AZ

b)

∠B ≅ ∠Y

c)

∠X ≅ ∠C

d)

AC = XC

53.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = YZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠C

d)

AC = XY

54.

a)

A

b)

B

c)

C

d)

D

55.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

56.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

57.

When do you use "CPCTC in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

NEver

58.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

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

59.

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)

60.

What is the reason?

a)

Definition of Angle

b)

Definition of Congruence

c)

Definition of bisects

d)

Definition of midpoint

61.

What is the reason?

a)

Definition of perpendicular

b)

Definition of Right angle

c)

Definition of 90

d)

Definition of angle

62.

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

a)

Vertical Angle Theorem

b)

given

c)

reflexive property

d)

proof

63.

Determine the correct response for #5 in the proof.

a)

All right angles are congruent

b)

Reflexive Property

c)

Triangle HEF is congruent to Triangle GFE

d)

Corresponding Parts of Congruent Triangles are Congruent

64.

Determine the correct response for #2 in the proof.

a)

All right angles are congruent

b)

Reflexive Property

c)

Triangle HEF is congruent to Triangle GFE

d)

Corresponding Parts of Congruent Triangles are Congruent

65.

Explain how you would prove that line AB is congruent to line DE

a)

AAS and CPCTC

b)

SAS and CPCTC

c)

ASA and CPCTC

d)

HL and CPCTC

66.

Explain how you would prove that line AB is congruent to line DE.

a)

AAS and CPCTC

b)

SAS and CPCTC

c)

ASA and CPCTC

d)

HL and CPCTC

67.

Determine the response for #4 in the proof.

a)

Given

b)

All right angles are congruent

c)

angle ECD is congruent to angle ACB

d)

triangle CDE is congruent to triangle CBA

e)

CPCTC

Unit 3 Review #1

Total questions: 67

Worksheet time: 2hrs 56mins

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