Free Printable Unit 4 Review - Triangle Congruence

1.

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

2.

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

3.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

SSS

4.

State if the triangles are congruent and why.

a)

Not congruent

b)

AAS

c)

SSS

d)

ASA

5.

State if the triangles are congruent and why.

a)

AAS

b)

ASA

c)

Not congruent

d)

SSS

6.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

a)

yes, ASA

b)

yes, AAS

c)

yes, SAS

d)

Not congruent, not enough information.

7.

Including the Reflexive Property, which theorem proves the triangles are congruent.

a)

ASA

b)

SSS

c)

SAS

d)

AAS

8.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

a)

yes by HL

b)

yes, by SAS

c)

No, not congruent there is no AAA theorem

d)

yes, by AAS

9.

Using the Reflexive Property, which theorem proves that the triangles are congruent.

a)

SAS

b)

AAS

c)

ASA

d)

HL

10.

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

a)

SAS

b)

ASA

c)

AAS

d)

HL

11.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

12.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

13.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

14.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

15.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

16.

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

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

17.

State if the triangles are congruent and why.

a)

Not congruent

b)

SAS

c)

ASA

d)

HL

18.

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

a)

No

b)

Sometimes

c)

Yes

d)

N/A

19.

Which property is shown below?
__________________________
7n = 21 then n = 3

a)

Division Property

b)

Sorcery

c)

Reduction of Multiples

d)

Distributive Property

20.

If y/4 = 5, then y = 20

a)

Multiplication Property of Equality

b)

Division Property of Equality

c)

Addition Property of Equality

d)

Subtraction Property of Equality

21.

If 3x + 4x - 5 = 10, then 7x - 5 = 10

a)

Addition Property of Equality

b)

Combine Like Terms or Simplify

c)

Subtraction Property of Equality

d)

Transitive Property of Equality

22.

Which property is shown below?
__________________________
4(x+6) = 4x + 4(6)

a)

Reflexive

b)

Distributive

c)

Transitive

d)

Substitution

23.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

24.

What property of equality is shown below?

y - 12 = 30

y -12 + 12 = 30 +12

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

25.

For any number a, a = a.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

26.

For any numbers a and b, if a = b, then b = a.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

27.

Name the property described:
∠B≅∠B

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

28.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

29.

The statement if $\overline{AB}\ \cong\ \overline{CD}$ , then $\overline{CD}\ \cong\ \overline{AB}$ demonstrates which property of congruence?

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Identity Property

30.

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

a)

Definition of Congruent Angles

b)

Angle Bisector divides an angle into two congruent angles

c)

Angle Addition Postulate

d)

Definition of Right Angle

31.

If B is the midpoint of AC, then AB ≅ BC.

a)

Definition of Congruent Segments

b)

Midpoint divides a segment into two congruent segments

c)

Vertical Angles Theorem

d)

Angle Bisector divides an angle into two congruent angles.

32.

Step 2 is what

a)

Substitution property

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

33.

What is step 4

a)

Substitution property

b)

Addition property of equality

c)

Subtraction property of equality

d)

Simplify

34.

What is reason 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

35.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

36.

What is reason 1?

a)

Subtraction Property of Equality

b)

Transitive Property of Equality

c)

Given

d)

Prove

37.

What is reason 2?

a)

Given

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Substitution Property of Equality

38.

Simplify the expression with the distributive property
6(x + 3)

a)

6x + 3

b)

6x + 18

c)

x + 3

d)

9x

39.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

40.

What is statement #2?

a)

∠ABC≅∠EDC

b)

∠BCA≅∠DCE

c)

BC≅CD

d)

∠E≅∠A

41.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

42.

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

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

43.

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

a)

WV

b)

WU

c)

VU

d)

WB

44.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

45.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

46.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

47.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

48.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

49.

Use the congruency statement to answer the following: < F = ___

a)

< H

b)

< I

c)

< G

d)

not congruent to another angle

50.

Complete the congruence statement.

a)

$\Delta CRP$

b)

$\Delta PCR$

c)

$\Delta RPC$

d)

$\Delta PRC$

51.

∆ABC ≅ ∆XYZ, which is true?

a)

AB ≅ XY

b)

AB ≅ YX

c)

AB ≅ XZ

d)

BC ≅ CB

52.

a)

A

b)

B

c)

C

d)

D

53.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

54.

∆ISR ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

55.

If ∆AIG ≅ ∆QOW, WQ ≅?

a)

AI

b)

GI

c)

AG

56.

Given the diagram, which of the following is true?

a)

∆XSF ≅ ∆XTG

b)

∆SXF ≅ ∆GXT

c)

∆FXS≅ ∆XGT

d)

∆FXS ≅ ∆GXT

57.

Complete the statement.

a)

$\Delta DEF$

b)

$\Delta FDE$

c)

$\Delta EDF$

d)

$\Delta FED$

58.

Complete the statement.

a)

$\Delta GEF$

b)

$\Delta FGE$

c)

$\Delta EFG$

d)

$\Delta EGF$

Unit 4 Review - Triangle Congruence

Total questions: 58

Worksheet time: 1hrs 13mins

Similar Resources on Wayground