Quiz about Congruence and Proof

Question 1

Are the triangles congruent, if yes, why?

Accepted Answer

SAS

Answer

SSS

Answer

AAS

Answer

Not Congruent

Question 2

Are the triangles congruent, if yes, why?

Accepted Answer

Not Congruent

Answer

SAS

Answer

ASA

Answer

AAS

Question 3

Are the triangles congruent, if yes, why?

Accepted Answer

ASA

Answer

SSS

Answer

SAS

Answer

AAS

Question 4

Are the triangles congruent, if yes, why?

Accepted Answer

SAS

Answer

SSS

Answer

ASA

Answer

Not Congruent

Question 5

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

Accepted Answer

HD=ND

Answer

AD=AD

Answer

AD=DA

Answer

HD=DN

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

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

Accepted Answer

AAA

Answer

ASA

Answer

SAS

Answer

SSS

Question 8

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

Accepted Answer

HA=AH

Answer

HA=HA

Answer

MA=AM

Answer

MA=MA

Question 9

Identify the  missing statement or reason

Accepted Answer

Reflexive Property

Answer

Definition of Midpoint

Answer

Given

Answer

Vertical Angles Theorem

Question 10

Identify the  missing statement or reason

Accepted Answer

Definition of Angle Bisector

Answer

Given

Answer

Vertical Angles Theorem

Answer

Alternate Interior Angles Theorem

Question 11

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

Accepted Answer

reflexive property

Answer

Vertical Angle Theorem

Answer

given

Answer

proof

Question 12

Which is a correct congruence statement.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 13

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

Accepted Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 14

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

Accepted Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 15

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

Accepted Answer

I have a Siberian Husky.

Answer

If I have a Siberian Husky.

Answer

Then I have a dog.

Answer

I have a dog.

Question 16

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

Accepted Answer

I have a dog.

Answer

If I have a Siberian Husky.

Answer

I have a Siberian Husky.

Answer

Then I have a dog.

Question 17

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

Accepted Answer

Angles are congruent.

Answer

If angles are congruent.

Answer

Then the measures of the angles are equal.

Answer

The measures of the angles are equal.

Question 18

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

Accepted Answer

The measures of the angles are equal.

Answer

If the angles are congruent.

Answer

The angles are congruent.

Answer

Then the measures of the angles are equal.

Question 19

What is the next number in this pattern?

Accepted Answer

55

Answer

49

Answer

57

Answer

63

Question 20

Complete the conjecture. Think of examples to help.
The difference of any two odd numbers is _______

Accepted Answer

even

Answer

odd

Answer

zero

Answer

positive

Question 21

Which is a counterexample of: If the product of two numbers is even, then the numbers must be even.

Accepted Answer

2x3=6

Answer

2x2=4

Answer

4x2=8

Answer

3x5=15

Question 22

Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.

Accepted Answer

square

Answer

quadrilateral

Answer

rectangle

Answer

triangle

Question 23

Find the next item in the pattern:
-3, 6, -12, 24, ...

Accepted Answer

-48

Answer

36

Answer

-36

Answer

48

Question 24

What property would you use to solve the following equation?
x + 5 = 13

Accepted Answer

subtraction property

Answer

addition property

Answer

multiplication property

Answer

division property

Question 25

If X = Y, then X + 5 = Y + 5

Accepted Answer

Addition Property

Answer

Subtraction Property

Answer

Reflexive Property

Answer

Transitive Property

Question 26

AB = AB

Accepted Answer

Reflexive Property

Answer

Transitive Property

Answer

Symmetric Property

Answer

Distributive Property

Question 27

If M is the midpoint of AB, then AM = MB

Accepted Answer

Def. of Midpoint

Answer

Addition Property

Answer

Reflexive Property

Answer

Symmetric

Question 28

If <1 and <2 are complementary, then m<1 + m<2 = 90

Accepted Answer

Def of Complementary Angles

Answer

Addition Property

Answer

Subtraction Property

Answer

Def of right angle

Question 29

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

Accepted Answer

Given

Answer

Prove

Answer

Reason

Answer

Statement

Question 30

Are the triangles congruent, if yes, why?

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

Not Congruent

Question 31

Question 31.

Accepted Answer

substitution POE

Answer

addition POE

Answer

transitive property

Question 32

Question 32.

Accepted Answer

distributive property

Answer

multiplication POE

Answer

division POE

Answer

addition POE

Question 33

Question 33.

Accepted Answer

addition POE

Answer

segment addition postulate

Answer

angle addition POE

Answer

substitution POE

Question 34

Question 34.

Accepted Answer

reflexive POE

Answer

symmetric POE

Answer

transitive POE

Answer

definition of congruence

Question 35

Question 35.

Accepted Answer

subtraction POE

Answer

addition POE

Answer

angle addition POE

Answer

substitution POE

Question 36

Question 36.

Accepted Answer

division POE

Answer

multiplication POE

Answer

subtraction POE

Answer

substitution POE

Question 37

What does CPCTC stand for?

Accepted Answer

Corresponding Parts of Congruent Triangles are Congruent

Answer

Corresponding Parts of Corresponding Triangles are Congruent

Answer

Congruent Parts of Corresponding Triangles are Congruent

Question 38

Complete the congruence statement.

Accepted Answer

PRC

Answer

CRP

Answer

PCR

Answer

RPC

Question 39

Which segment is congruent to EF?

Accepted Answer

GF

Answer

HG

Answer

HF

Answer

IE

Question 40

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

Accepted Answer

Yes by ASA

Answer

Yes by AAS

Answer

Yes by SSA

Answer

Not congruent

Question 41

Congruent by

Accepted Answer

Not Congruent

Answer

SAS

Answer

ASA

Answer

AAS

Question 42

Congruent by

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

AAS

Question 43

Congruent by

Accepted Answer

SAS

Answer

SSS

Answer

ASA

Answer

AAS

Question 44

How are these two triangles congruent?

Accepted Answer

Not enough information

Answer

SAS

Answer

ASA

Answer

SSA

Question 45

Which is a correct congruence statement.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 46

Question 46.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 47

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 48

Fill in the blank.

Accepted Answer

Reflexive Property

Answer

Given

Answer

Transitive Property

Answer

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

Question 49

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

Accepted Answer

reflexive property

Answer

Vertical Angle Theorem

Answer

given

Answer

proof

Question 50

You should use CPCTC ______

Accepted Answer

after proving triangles congruent to get the corresponding parts congruent

Answer

before you prove triangles congruent

Answer

to prove two triangles congruent

Answer

never use CPCTC it is not a thing

Congruence and Proof

62 questions

Are the triangles congruent, if yes, why?

Are the triangles congruent, if yes, why?

Are the triangles congruent, if yes, why?

Are the triangles congruent, if yes, why?

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

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

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

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

Identify the missing statement or reason

Identify the missing statement or reason

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics