Free Printable REVIEW Triangle Congruence

1.

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

2.

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.

3.

What information would you need to prove $\Delta HAT\cong\Delta MAP$ by ASA?

a)

$HT\cong MP$

b)

$TA\cong AM$

c)

$TA\cong MA$

d)

Not Possible $HA\cong AP$

4.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

5.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

6.

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

7.

What congruency postulate proves the triangles congruency?

a)

SAS

b)

ASA

c)

SSS

d)

HL

8.

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

9.

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

10.

Given that AR is a perpendicular bisector, select the correct conclusion(s) you can make.

a)

$\angle AMR\cong\angle AKR$

b)

$MR\cong RK$

c)

$\angle MRA,\ \angle KRA\$ are right angles

d)

$AM\cong AK$

e)

$\angle MAR,\ \angle KAR$ are complementary angels

11.

Which of the following is not a triangle congruence theorem?

a)

SAS

b)

ASA

c)

AAS

d)

SSA

12.

Looking at the given information in the figure, what additional reasoning would you most likely use before you prove the triangles congruent?

a)

Reflexive Property

b)

Vertical Angles

c)

Definition of Midpoint

d)

Def. Bisector

e)

Def. Perpendicular

13.

Looking at the given information in the figure, what additional reasoning would you most likely use before you prove the triangles congruent?

a)

Reflexive Property

b)

Vertical Angles

c)

Definition of Midpoint

d)

Def. Bisector

e)

Def. Perpendicular

14.

When do you use "CPCTC in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

NEver

15.

What postulate proves these triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

16.

Fill in the two missing steps in the proof.

a)

Transitive Property, SAS (Side-Angle-Side)

b)

Reflexive Property, SAS (Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Theorem

d)

Transitive Property, SSS (Side-Side-Side)

17.

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

18.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

When we have a reflexive side

d)

SSA

19.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△NLM

b)

Yes, △CBA≅△NLM

c)

Yes, △CBA≅△MLN

d)

No

20.

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)

Yes, ASA

e)

Not Congruent

21.

What is the "reason" for step 5 of the proof?

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

22.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

23.

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

a)

HT=TA

b)

HA=AH

c)

MA=AM

d)

MA=MH

24.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

25.

Identify a common side

a)

JK

b)

MJ

c)

LK

26.

Identify a common angle

a)

Angle E

b)

Angle D

c)

Angle F

d)

Angle DGF

27.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

28.

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

a)

LM ≅ AB

b)

∆CAB ≅ ∆NLM

c)

∠C ≅ ∠N

d)

BC ≅ ML

29.

Given the diagram, which of the following must be true?

a)

∆XSF ≅ ∆XTG

b)

∆SXF ≅ ∆GXT

c)

∆FXS≅ ∆XGT

d)

∆FXS ≅ ∆GXT

30.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

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.

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

33.

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

34.

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

a)

SSA

b)

ASA

c)

SAS

d)

SSS

35.

How are these triangles congruent?

a)

AAA

b)

Not enough information

c)

ASA

d)

HL

36.

Consider two congruent triangles such that $\Delta ABC\cong\Delta XYZ$ and the following measures:

$AB=5,\ BC=7,\ and\ CA=8$ .
What is the length of segment ZY?

a)

5

b)

7

c)

8

d)

Not enough information

37.

Using the diagram and the congruence statement $\Delta FER\cong\Delta MAT$ solve for x.
$x=$ (a)

38.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

39.

A triangle with two congruent sides and two congruent angles (base angles) is called ...

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

40.

When we are given two angles of a triangle are congruent, we can prove ____________________.

a)

three sides are congruent

b)

two sides are congruent

c)

three angles are congruent

d)

no other relationships exist

REVIEW Triangle Congruence

Total questions: 40

Worksheet time: 1hrs 18mins

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