Quiz about Geometry Final Exam Review

Question 1

What is the hypothesis of the given Conditional Statement?

Accepted Answer

Jimmy goes on vacation

Answer

Jimmy will go to Orlando

Answer

Jimmy will go to Orlando

Answer

Who is Jimmy?

Question 2

A conditional statement is a(n):

Accepted Answer

"if  _________, then _______ statement"

Answer

statement that is always true

Answer

biconditional statement

Answer

counteerexample

Question 3

What is the converse to this statement?

Accepted Answer

If it is night, then it is dark outside

Answer

If it isn't dark outside, then it is not night.

Answer

If it is not night, then it is not dark outside.

Answer

It is night.

Question 4

What is the inverse to this statement?

Accepted Answer

If you don't live in Montreal, then you don't live in Canada.

Answer

If you live in Canada, you live in Montreal

Answer

If you don't live in Canada, you don't live in Montreal.

Answer

Montreal is in Brazil.

Question 5

Identify the conclusion.

Accepted Answer

Clarkson will be the coolest

Answer

Clarkson will not be the coolest

Answer

Clarkson gives us Mountain Dew

Answer

Clarkson will not give us Mountain Dew

Question 6

What is the contrapositive to this?

Accepted Answer

If the food is not cooked, then it is not in the oven.

Answer

If the food is not in the oven, then it is not cooked.

Answer

If the food is cooked, then its in the oven.

Answer

If food is not in the oven, then its cooked.

Question 7

To write the converse you negate both the hypothesis and the conclusion.

Accepted Answer

False

Answer

True

Question 8

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 9

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

Accepted Answer

cell phone

Answer

television

Answer

computer mouse

Answer

keyboard

Question 10

Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."?

Accepted Answer

If you do not have a sense of balance, then you cannot skateboard.

Answer

If you cannot skateboard, then you do not have a sense of balance.

Answer

If you skateboard, then you have a sense of balance.

Question 11

Which of the following statements is the inverse of "If it rains, then I do not go fishing."?

Accepted Answer

If it does not rain, then I go fishing.

Answer

If I go fishing, then it does not rain.

Answer

If I do not go fishing, then it rains.

Question 12

Which of the following statements is the inverse of "If you do not understand geometry, then you do not know how to reason deductively."?

Accepted Answer

If you understand geometry, then you know how to  reason deductively.

Answer

If you reason deductively, then you understand geometry.

Answer

If you do not reason deductively, then you understand geometry.

Question 13

Which of the following statements is the converse of "If the moon is full, then the vampires are prowling."?

Accepted Answer

If the vampires are prowling, then the moon is full.

Answer

If the moon is not full, then the vampires are prowling.

Answer

If the vampires are not prowling, then the moon is not full.

Question 14

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

Accepted 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 do not have a dog.

Answer

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

Answer

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

Question 15

Consider the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 6, then it is divisible by 3."

Accepted Answer

True

Answer

9

Answer

18.

Answer

21

Question 16

Consider the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 3, then it is divisible by 6."

Accepted Answer

9

Answer

True

Answer

18

Answer

36

Question 17

If an animal is furry, then it is a bunny. What would be an appropriate counterexample?

Accepted Answer

cat

Answer

goldfish

Answer

frog

Answer

elephant

Question 18

The opposite of any number is smaller than the original number. What is an appropriate counterexample?

Accepted Answer

original: -1
opposite: 1

Answer

original: 2
opposite: -2

Answer

original: 0
opposite: 0

Answer

True. There is no counterexample.

Question 19

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

Accepted Answer

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

Answer

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

Answer

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

Answer

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

Question 20

The product of two negative numbers is greater than the sum of the two numbers. What is an appropriate counterexample?

Accepted Answer

True. There is no counterexample

Answer

-3 and -3

Answer

-1 and -1

Answer

4 and 6

Question 21

When writing the converse we ___________ the hypothesis and conculsion

Accepted Answer

switch

Answer

negate

Answer

highlight

Answer

switch and negate

Question 22

When writing the inverse we _____________ the hypothesis and conculsion

Accepted Answer

negate

Answer

switch

Answer

switch and negate

Answer

keep the same

Question 23

For the contrapositive we _________ the hypothesis and conclusion

Accepted Answer

switch and negate

Answer

switch

Answer

negate

Answer

neither

Question 24

When writing a biconditional statement

Accepted Answer

both the conditional and the converse must be true.

Answer

both the conditional and the inverse must be true

Answer

both the inverse and the converse must be true.

Answer

noen of these is correct

Question 25

Biconditional statements are used to

Accepted Answer

all of these

Answer

determine if a definition is well-posed.

Answer

write well posed questions.

Answer

write a well defined statement

Question 26

A biconditional can be written using

Accepted Answer

either of these

Answer

if and only if

Answer

iff

Answer

neither of these

Question 27

The fallacy of the converse is

Accepted Answer

assuming the hypothesis is true because the conclusion is true

Answer

assuming the conclusion is true because the hypothesis is true.

Answer

assuming the converse is true because the conditional is true

Answer

assuming the converse is true because the inverse is true.

Question 28

(1) If you have a can opener, you can open a can.
(2) Ahmed has a can opener.
(3) Ahmed can open a can.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Accepted Answer

Law of Detachment

Answer

Law of Syllogism

Answer

Law of Syllogism

Answer

invalid

Question 29

(1) Vertical angles are congruent.
(2) If two vertical angles are congruent, then their measures are equal.
(3) If two angles are vertical, then their measures are equal.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Accepted Answer

Law of Syllogism

Answer

Law of Detachment

Answer

Law of Contrapositive

Answer

invalid

Question 30

(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, Contrapositive, or is it invalid?

Accepted Answer

invalid

Answer

Law of Syllogism

Answer

Law of Detachment

Answer

Law of Contrapositive

Question 31

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

Accepted Answer

invalid; nothing belongs in line 3

Answer

Figure A is a polygon.

Answer

Figure A is a circle.

Answer

Figure A is a square.

Question 32

A line is defined by ___________________.

Accepted Answer

2 points on the line.

Answer

2 capital block letters

Answer

its endpoints

Answer

a lowercase script letter

Question 33

A line is named by ___________________.

Accepted Answer

a lowercase script letter

Answer

2 capital block letters

Answer

2 points on the line.

Answer

its endpoints

Question 34

A line is named by ___________________.

Accepted Answer

Any 2 points on the line with a line over them.

Answer

2 capital block letters with a line over them

Answer

its endpoints

Answer

2 capital block letters

Question 35

Name 4 collinear points

Accepted Answer

HNKI

Answer

HMNO

Answer

IKNO

Answer

MJOL

Question 36

A line that contains point M.

Accepted Answer

Line p

Answer

Line q

Answer

Line r

Answer

Line NH

Question 37

How would you describe points I, L, C?

Accepted Answer

coplanar

Answer

collinear

Answer

non-coplanar

Answer

symmetric

Question 38

What is the name of this ray?

Accepted Answer

Ray AB

Answer

Ray BA

Answer

Ray ABC

Answer

Ray AC

Question 39

How long is a line?

Accepted Answer

Infinite.

Answer

Depends on the points we are using to define it

Answer

No one knows

Question 40

How many points are on a line segment?

Accepted Answer

infinite

Answer

2

Answer

4

Answer

no one knows

Question 41

What is the length of a ray?

Accepted Answer

infinite

Answer

Depends on the ray

Answer

Depends on the 2 points defining the ray

Answer

no one knows

Question 42

A postulate is ___________.

Accepted Answer

an accepted statement of fact.

Answer

a fact.

Answer

a theory.

Answer

a law.

Question 43

What is a point?

Accepted Answer

an exact location

Answer

a straight path

Answer

endless flat surface

Answer

lines that cross

Question 44

Find HG.

Accepted Answer

9

Answer

8

Answer

10

Answer

11

Question 45

Let B be between A and C.

Accepted Answer

28

Answer

4

Answer

16

Answer

12

Question 46

Find the length of segment EC

Accepted Answer

35

Answer

33

Answer

36

Answer

40

Question 47

Solve for x

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 48

Name the property, definition, postulate, or theorem.

Accepted Answer

Segment Add Post

Answer

Addition Prop

Answer

Subtraction Prop

Answer

def of congruent segments

Question 49

Find the value of x.

Accepted Answer

14

Answer

60

Answer

35

Answer

180

Question 50

State the angle relationship and find the measure of angle 1

Accepted Answer

Corresponding
110

Answer

Alternate Exterior
110

Answer

Corresponding
70

Answer

Alternate Exterior
70

Question 51

State the angle relationship and find the measure of angle 1

Accepted Answer

Alternate Interior
37

Answer

Alternate Interior
143

Answer

Corresponding
143

Answer

Corresponding
37

Question 52

Find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).

Accepted Answer

(5, -11)

Answer

(5, -13)

Answer

(-5, 11)

Answer

(-5, -11)

Question 53

Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)

Accepted Answer

(1.5, -2)

Answer

(-1.5, 2)

Answer

(5.5, -7)

Answer

(-2, 1.5)

Question 54

Find the y-coordinate of the midpoint of the line

Accepted Answer

2

Answer

1

Answer

-2

Answer

3

Question 55

What is the midpoint between (-4,4) and (-2,2)?

Accepted Answer

(-3,3)

Answer

(3,2)

Answer

(4,5)

Answer

(6,7)

Question 56

What is the midpoint between (-4,4) and (5,-1)?

Accepted Answer

(1/2, 1 1/2)

Answer

(4,5)

Answer

(3,4)

Answer

(7,2)

Question 57

What is the midpoint between (5,2) and (-4,-3)?

Accepted Answer

(1/2, -1/2)

Answer

(2,4)

Answer

(-2,3)

Answer

(4,5)

Question 58

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

Accepted Answer

(7,2)

Answer

(1,5)

Answer

(2,10)

Answer

(1,2)

Question 59

What is the distance between -5 and 3?

Accepted Answer

8

Answer

-2

Answer

-8

Answer

2

Question 60

What is the relationship of the angles

Accepted Answer

Vertical

Answer

Alternate Interior

Answer

Alternate Exterior

Answer

Corresponding

Question 61

What is the relationship of the Angles

Accepted Answer

Alternate Interior

Answer

Alternate Exterior

Answer

Corresponding

Answer

Same Side Interior

Question 62

What is the Angle Relationship?

Accepted Answer

Alternate Exterior

Answer

Alternate Interior

Answer

Corresponding

Answer

Same Side Interior

Question 63

What is the Angle Relationship?

Accepted Answer

Alternate Exterior

Answer

Alternate Interior

Answer

Corresponding

Answer

Same Side Interior

Question 64

What is the angle relationship?

Accepted Answer

Same Side Interior

Answer

Alternate Interior

Answer

Alternate Exterior

Answer

Corresponding

Geometry Final Exam Review

107 questions

What is the hypothesis of the given Conditional Statement?

A conditional statement is a(n):

What is the converse to this statement?

What is the inverse to this statement?

Identify the conclusion.

What is the contrapositive to this?

To write the converse you negate both the hypothesis and the conclusion.

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

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

Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."?

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Geometry Final Exam Review

107 questions

What is the hypothesis of the given Conditional Statement?

A conditional statement is a(n):

What is the converse to this statement?

What is the inverse to this statement?

Identify the conclusion.

What is the contrapositive to this?

To write the converse you negate both the hypothesis and the conclusion.

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

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

Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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