Quiz about Geometry Unit 2 Review

Question 1

What is the reason?

Accepted Answer

Definition of supplementary

Answer

Definition of Complementary

Answer

Definition of 180

Answer

Angle Addition

Question 2

What is the reason?

Accepted Answer

Definition of congruence

Answer

Definition of equal

Answer

Definition of Angle

Answer

Angle Addition

Question 3

What is the reason?

Accepted Answer

Definition of complementary

Answer

Definition of Right angle

Answer

Definition of 90

Answer

Definition of supplementary

Question 4

What is the reason?

Accepted Answer

Definition of midpoint

Answer

Definition of congruence

Answer

Definition of segment

Answer

Definition of bisects

Question 5

What is the justification?

Accepted Answer

Transitive Prop. of Congruence

Answer

Symmetric Prop.

Answer

Angle addition postulate

Answer

Transitive Prop. of Equality

Question 6

Which property justifies the next step?

Accepted Answer

Linear pair postulate

Answer

Definition of linear pair

Answer

Definition of supplementary angles

Answer

Congruent supplements thm

Question 7

Which property justifies the next step?

Accepted Answer

Angle addition postulate

Answer

Segment addition postulate

Answer

Definition of an angle bisector

Answer

Definition of right angles

Question 8

What is the reason?

Accepted Answer

Substitution

Answer

Transitive

Answer

Middle Man

Answer

Replacing

Question 9

What is the reason?

Accepted Answer

Segment Addition

Answer

Angle Addition

Answer

Definition of Congruence

Answer

Definition of Between

Question 10

If <M = <L then <L = <M

Accepted Answer

Symmetric POE

Answer

Transitive POE

Answer

Substitution POE

Answer

Reflexive POE

Question 11

AB = AB

Accepted Answer

Reflexive POE

Answer

Transitive POE

Answer

Symmetric POE

Answer

Distributive POE

Question 12

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

Accepted Answer

Addition POE

Answer

Subtraction POE

Answer

Reflexive POE

Answer

Transitive POE

Question 13

If l = a and a = k and k = e then l = e

Accepted Answer

Transitive POE

Answer

Addition POE

Answer

Symmetric POE

Answer

Reflexive POE

Question 14

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

Accepted Answer

Def. of Midpoint

Answer

Addition POE

Answer

Reflexive POE

Answer

Symmetric

Question 15

If A = B, then 8A = 8B

Accepted Answer

Multiplication POE

Answer

Division POE

Answer

Reflexive POE

Answer

Addition POE

Question 16

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

Accepted Answer

Def of Complementary Angles

Answer

Addition POE

Answer

Subtraction POE

Answer

Def of right angle

Question 17

What is always the 1st reason of a proof?

Accepted Answer

Given

Answer

Prove

Answer

Reason

Answer

Statement

Question 18

If X is between R & T on a line,
then RX + XT = RT

Accepted Answer

Segment Addition Post.

Answer

Addition POE

Answer

Substitution POE

Answer

Angle Addition Post.

Question 19

What is reason 1?

Accepted Answer

Given

Answer

Subtraction Property of Equality

Answer

Transitive Property of Equality

Answer

Prove

Question 20

What is reason 2?

Accepted Answer

Subtraction Property of Equality

Answer

Given

Answer

Addition Property of Equality

Answer

Substitution Property of Equality

Question 21

What is reason 3?

Accepted Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 22

What is reason 4?

Accepted Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Question 23

What is reason 5?

Accepted Answer

Symmetric Property

Answer

Transitive Property

Answer

Reflexive Property

Answer

Prove

Question 24

What is reason 1?

Accepted Answer

Given

Answer

Symmetric Property of Equality

Answer

Prove

Answer

Subtraction Property of Equality

Question 25

What is reason 2?

Accepted Answer

Subtraction Property of Equality

Answer

Addition Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 26

What is reason 3?

Accepted Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Question 27

The angle relationship shown is -

Accepted Answer

complementary angles

Answer

supplementary angles

Answer

vertical angles

Answer

angle bisector

Question 28

Original Statement:
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.

Accepted Answer

None of the above

Answer

Converse

Answer

Inverse

Answer

Contrapositive

Question 29

Write a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

Accepted Answer

cellular phone

Answer

television

Answer

computer mouse

Answer

keyboard

Question 30

Using the statement:
If it is Friday then I will get paid.
Write the conclusion

Accepted Answer

I will get paid

Answer

If it is Friday

Answer

it is Friday

Answer

then I will get paid

Question 31

Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.

Accepted Answer

If your insurance rates go up, then you have made an insurance claim.

Answer

If your insurance rates do not go up , then you have not maid a claim.

Answer

If you do not make an insurance claim, then your rates will not go up.

Answer

If you make an insurance claim, then your rates will not go up.

Question 32

Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.

Accepted Answer

If a person is not a musician, then the person is not a banjo player.

Answer

If a person is not a banjo player, then the person is a musician.

Answer

If a person is not a banjo player, then the person is not a musician.

Answer

If a person is a musician, then the person is a banjo player.

Question 33

For the inverse we _________ the hypothesis and conclusion

Accepted Answer

negate

Answer

switch

Answer

switch and negate

Question 34

For the contrapositive we _________ the hypothesis and conclusion

Accepted Answer

switch and negate

Answer

switch

Answer

negate

Question 35

What is this?

Accepted Answer

Conditional Statement

Answer

Inverse

Answer

Converse

Answer

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

Question 36

Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?

Accepted Answer

Not all automobiles are motorized vehicles

Answer

Not all motorized vehicles are automobiles.

Answer

Some motorized vehicles are not automobiles.

Answer

Automobiles are motorized vehicles.

Question 37

What does this mean?

Accepted Answer

Inverse Statement

Answer

Conditional Statement

Answer

Converse Statement

Answer

Contrapositive Statement

Question 38

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

Accepted Answer

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

Answer

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

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 39

(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3 (what can you conclude)?

Accepted Answer

no conclusion; nothing belongs in line 3

Answer

Figure A is a polygon.

Answer

Figure A is a circle.

Answer

Figure A is a square.

Question 40

(1) If it is a rabbit, then it has long ears.
(2) Peter Cottontail has long ears.
(3) Peter Cottontail is a rabbit.
Is statement (3) logical given the Law of Detachment, Syllogism, Inductive, or is it invalid?

Accepted Answer

invalid no conclusion

Answer

Law of Syllogism

Answer

Law of Detachment

Answer

Inductive

Question 41

Which is the correct if-then statement for the statement.
Two angles that form a linear pair are supplementary.

Accepted Answer

If two angles form a linear pair, then they are supplementary.

Answer

If two angles are supplementary, then they form a linear pair.

Question 42

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

Accepted Answer

you can buy a new CD

Answer

you cannot buy a new CD

Answer

Detachment

Answer

you earn more than $14

Question 43

Which law of logic is this:
If my mom stays home, then she won't buy shoes.
If she doesn't buy shoes, then she'll wear an old pair.
Therefore if my mom stays home, then she will wear an old pair.

Accepted Answer

Syllogism

Answer

Contrapositive

Answer

Converse

Answer

Detachment<span></span>

Question 44

If a mineral is gypsum, it has a hardness of 2.
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?

Accepted Answer

If a mineral is gypsum, it can be scratched with a fingernail.

Answer

If a mineral can be scratched with a fingernail, then it is gypsum.

Answer

Detachment<span></span>

Answer

It can be scratched with a fingernail.

Question 45

Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS

Accepted Answer

Valid

Answer

R is the midpoint

Answer

Detachment

Answer

A point is the midpoint of a segment.

Question 46

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Accepted Answer

Valid

Answer

Invalid

Answer

Sammy is a Great Dane

Answer

Sammy is really a cat.

Question 47

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

Accepted Answer

Invalid/ No conclusion

Answer

You are at least 25 years old

Answer

You can rent a car

Answer

You can go on a road trip

Question 48

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

Accepted Answer

You will need to bring your fishing rod.

Answer

Invalid/ No conclusion

Answer

You are a boring person.

Answer

You are going to catch a fish.

Question 49

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

Accepted Answer

Invalid/ No conclusion

Answer

Jack skipped school.

Answer

It isn't Monday.

Answer

It's Saturday.

Question 50

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

Accepted Answer

Inverse

Answer

Converse

Answer

Contrapositive

Answer

Biconditional

Geometry Unit 2 Review

60 questions

What is the reason?

What is the reason?

What is the reason?

What is the reason?

What is the justification?

Which property justifies the next step?

Which property justifies the next step?

What is the reason?

What is the reason?

If <M = <L then <L = <M

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