Quiz about Geometry Proofs Congruence

Question 1

Angles  a and e are what type of angles?

Accepted Answer

Corresponding Angles

Answer

Vertical Angles

Answer

Alternate Interior Angles

Answer

Alternate Exterior Angles

Question 2

Angles  e and d are what type of angles?

Accepted Answer

Alternate Interior Angles

Answer

Vertical Angles

Answer

Corresponding Angles

Answer

Alternate Exterior Angles

Question 3

Fill in the missing proofs.

Accepted Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, Vertical Angles Thm.

Answer

Transitive Property, SSS(Side-Side-Side)

Question 4

Question 4.

Accepted Answer

Reflexive Property, SSS(Side-Side-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SSS(Side-Side-Side)

Question 5

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

Accepted Answer

CPCTC Theorem

Answer

Vertical Angle Theorem

Answer

proof

Answer

def. of angle bisector

Question 6

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

Accepted Answer

AD=AD

Answer

AD=DA

Answer

HD=ND

Answer

HD=DN

Question 7

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

Accepted Answer

HD=ND

Answer

AD=AD

Answer

AD=DA

Answer

HD=DN

Question 8

Determine if the triangles are congruent, if "yes" state the theorem.

Accepted Answer

not congruent

Answer

yes, SAS

Answer

yes, ASA

Answer

yes, AAS

Question 9

Determine if the triangles are congruent, if "yes" state the theorem.

Accepted Answer

not congruent

Answer

yes, SSS

Answer

yes, SAS

Answer

yes, ASA

Question 10

Determine if the triangles are congruent, if "yes" state the theorem.

Accepted Answer

yes, ASA

Answer

yes, AAS

Answer

yes, SAS

Answer

not congruent

Question 11

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

Accepted Answer

Vertical angle Theorem

Answer

Proof

Answer

Def. of Midpoint

Answer

Reflexive Property

Question 12

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

Accepted Answer

CPCTC Theorem

Answer

Angle Bisector Theorem

Answer

Reflexive property

Answer

Proof

Question 13

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

Accepted Answer

HA=AH

Answer

HA=HA

Answer

MA=AM

Answer

MA=MA

Question 14

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

Accepted Answer

SSA

Answer

AAS

Answer

SAS

Answer

SSS

Question 15

Determine if the triangles are congruent, if "yes" state the theorem.

Accepted Answer

yes, SAS

Answer

not congruent

Answer

yes, SSS

Answer

yes, ASA

Question 16

Determine if the triangles are congruent, if "yes" state the theorem.

Accepted Answer

yes, AAS

Answer

yes, ASA

Answer

not congruent

Answer

yes, SAS

Question 17

What does CPCTC stand for?

Accepted Answer

Corresponding parts of congruent triangles are congruent

Answer

Congruent parts of congruent triangles are congruent

Answer

Corresponding parts of corresponding triangles are corresponding

Answer

Corresponding parts of congruent triangles are Canadian.

Question 18

When do you use "CPCTC in a proof?

Accepted Answer

ALWAYS at the end

Answer

ALWAYS at the beginning

Answer

It's optional

Answer

NEver

Question 19

Fill in the blank.

Accepted Answer

Reflexive Property

Answer

Given

Answer

Transitive Property

Answer

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

Question 20

Fill in the missing proofs.

Accepted Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, Vertical Angles Thm.

Answer

Transitive Property, SSS(Side-Side-Side)

Question 21

What is the reason?

Accepted Answer

Definition of bisects

Answer

Definition of Angle

Answer

Definition of Congruence

Answer

Definition of midpoint

Question 22

What is the reason?

Accepted Answer

Definition of perpendicular

Answer

Definition of Right angle

Answer

Definition of 90

Answer

Definition of angle

Question 23

What congruency postulate proves the triangles congruency?

Accepted Answer

SAS

Answer

ASA

Answer

SSS

Answer

HL

Question 24

When do you use "CPCTC in a proof?

Accepted Answer

ALWAYS at the end

Answer

ALWAYS at the beginning

Answer

It's optional

Answer

NEver

Question 25

What postulate proves these triangles congruent?

Accepted Answer

SAS

Answer

HL

Answer

SSS

Answer

ASA

Question 26

What postulate proves these triangles congruent?

Accepted Answer

ASA

Answer

SAS

Answer

HL

Answer

AAS

Question 27

What postulate proves these triangles congruent?

Accepted Answer

AAS

Answer

SAS

Answer

ASA

Answer

Not enough information

Question 28

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

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 29

What additional information is required for the 2 triangles to be congruent by ASA?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 30

What additional information is required for the 2 triangles to be congruent by SAS?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 31

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

Accepted Answer

WU

Answer

WV

Answer

VU

Answer

WB

Question 32

Which is NOT a congruence postulate used to prove triangles are congruent?

Accepted Answer

SSA

Answer

SAA

Answer

SSS

Answer

SAS

Question 33

Fill in the missing proofs.

Accepted Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, Vertical Angles Thm.

Answer

Transitive Property, SSS(Side-Side-Side)

Question 34

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

Accepted Answer

HD=DN

Answer

AD=AD

Answer

AD=DA

Answer

HA = AN

Question 35

What are the 2 missing pieces of information?

Accepted Answer

Reflexive Property, SSS(Side-Side-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SSS(Side-Side-Side)

Question 36

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

Accepted Answer

Vertical angle Theorem

Answer

Proof

Answer

Def. of Midpoint

Answer

Reflexive Property

Question 37

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

Accepted Answer

there are right triangles.

Answer

CPCTC.

Answer

that vertical angles are congruent.

Answer

the reflexive property.

Question 38

What is Reason B?

Accepted Answer

Definition of Vertical Angles

Answer

Definition of Congruence

Answer

Reflexive Property

Answer

Vertical Angle Theorem

Question 39

What is Reason C?

Accepted Answer

Vertical Angle Theorem

Answer

Definition of Congruence

Answer

Definition of Vertical Angles

Answer

Reflexive Property

Question 40

What is Reason D?

Accepted Answer

ASA Congruence

Answer

SSS Congruence

Answer

SAS Congruence

Answer

AAS Congruence

Answer

HL Congruence

Question 41

What is Reason B?

Accepted Answer

Definition of Midpoint

Answer

Definition of Congruence

Answer

Definition of Equality

Question 42

What is Reason C?

Accepted Answer

Definition of Congruence

Answer

Definition of Equality

Answer

Definition of Midpoint

Question 43

What is Reason D?

Accepted Answer

Definition of Vertical Angles

Answer

Vertical Angle Theorem

Answer

Reflexive Property

Answer

Definition of Congruence

Question 44

What is Reason E?

Accepted Answer

Vertical Angle Theorem

Answer

CPCTC

Answer

Definition of Congruence

Answer

Definition of Vertical Angles

Question 45

What is Reason F?

Accepted Answer

AAS Congruence

Answer

SSS Congruence

Answer

SAS Congruence

Answer

ASA Congruence

Answer

HL Congruence

Question 46

What is Reason C?

Accepted Answer

SAS Congruence

Answer

SSS Congruence

Answer

ASA Congruence

Answer

AAS Congruence

Answer

HL Congruence

Question 47

What is Reason C?

Accepted Answer

SSS Congruence

Answer

SAS Congruence

Answer

ASA Congruence

Answer

AAS Congruence

Answer

HL Congruence

Question 48

What is Reason E?

Accepted Answer

ASA Congruence

Answer

SSS Congruence

Answer

SAS Congruence

Answer

AAS Congruence

Answer

HL Congruence

Question 49

What is Reason F?

Accepted Answer

CPCTC

Answer

Given

Answer

Definition of Congruence

Answer

Triangle Congruence

Question 50

What is Reason E?

Accepted Answer

HL Congruence

Answer

SSS Congruence

Answer

SAS Congruence

Answer

ASA Congruence

Answer

AAS Congruence

Question 51

What is Reason F?

Accepted Answer

CPCTC

Answer

Given

Answer

Definition of Congruence

Answer

Definition of Perpendicular

Question 52

If $$\overline{DA}$$ bisects $$\overline{IE}$$ IE, then

Accepted Answer

$$\overline{IA}\ \cong\ \overline{EA}$$

Answer

$$\overline{ID}\ \cong\ \overline{EA}$$

Answer

Answer

<IAD and <EAD are right angles

Question 53

If L is the midpoint of $$\overline{TJ}$$ , what must be true?

Accepted Answer

$$\overline{TL}\ \cong\ \overline{LJ}$$

Answer

$$\overline{TL}\ \cong\ \overline{JT}$$

Answer

$$\overline{JL}\ \cong\ \overline{TJ}$$

Answer

T is also the midpoint of $$\overline{JL}$$

Question 54

If $$\overline{AD}$$ bisects

Accepted Answer

<ADE=<IDA

Answer

$$\overline{IA}\ \cong\ \overline{AE}$$

Answer

$$\overline{ID}\ \cong\ \overline{ED}$$

Answer

All of the above

Question 55

If $$\overline{DA}$$ is perpendicular to $$\overline{IE}$$ , then we can immediately conclude that

Accepted Answer

<IAD and <DAE are right angles

Answer

$$\overline{IA}\ \cong\overline{AE}$$

Answer

Answer

Question 56

If $$\overline{DA}$$ is the perpendicular bisector of $$\overline{EI}$$ , then which is NOT true.

Accepted Answer

$$\overline{DI}\ \cong\overline{DE}$$

Answer

<IAD and <DAE are right angles

Answer

$$\overline{EA}\ \cong\overline{IA}$$

Answer

Both 1 and 3 are correct

Question 57

An angle bisector cuts an angle into two congruent _________

Accepted Answer

Angles

Answer

Segments

Answer

Mysteries

Question 58

A segment bisector cuts a segment into two congruent

Accepted Answer

Segments

Answer

Angles

Answer

Mysteries

Question 59

Question 59.

Accepted Answer

AB = 22

Answer

AB = 11

Answer

AB = 10

Answer

AB = 3

Question 60

Question 60.

Accepted Answer

x = 1

Answer

x = -36

Answer

x = 1/5

Answer

x = 3

Question 61

Question 61.

Accepted Answer

BC = 34

Answer

BC = 8

Answer

BC = 30

Answer

BC = 156

Question 62

Question 62.

Accepted Answer

x = 20

Answer

x = 10

Answer

x = 15

Answer

Not enough information

Question 63

Question 63.

Accepted Answer

$$m\angle4\ =120$$

Answer

$$m\angle4\ =20$$

Answer

$$m\angle4\ =60$$

Answer

$$m\angle4\ =80$$

Question 64

Find the measure of angle A.

Accepted Answer

30o

Answer

75o

Answer

60o

Answer

38o

Geometry Proofs Congruence

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