Free Printable Geometry Honors Chapter 2 Review

Worksheets

Geometry Honors Chapter 2 Review

Total questions: 49

Worksheet time: 51mins

Name

Class

Date

Deductive Reasoning is...

reasoning that uses guesses and ideas to arrive at a conclusion

reasoning that uses random examples to arrive at a thesis

reasoning that uses a number of specific examples to arrive at a conclusion

reasoning that uses facts, rules, definitions, or properties to reach logical conclusions from given statements

Inductive Reasoning is...

reasoning that uses guesses and ideas to arrive at a conclusion

reasoning that uses random examples to arrive at a thesis

reasoning that uses a number of specific examples to arrive at a conclusion

reasoning that uses facts, rules, definitions, or properties to reach logical conclusions from given statements

negation statement

truth table

conditional statement

biconditional statement

A conjecture is .....

a false example in a compound statement

a compound statement using and or nor

a concluding statement reached during inductive reasoning

an educated guess based on empirical data, collected by a calculator

A disjuction is a compound statement that uses _________ to join two statements

and

nor

without

A conjuction is a compound statement that uses _________ to join two statements

and

nor

without

If a student does not eat his lunch, then he will be hungry. Pepito didn't eat.
Conclusion: Pepito will be hungry
The previous statements are examples of __ ?

The Law of Syllogism

The Law of Detachment

The Law of Contrapositives

The Law of Tangents

Which is a counterexample to the following statement?

If an angle is obtuse, then it is $125\degree$ .

$90\degree$

$57\degree$

$160\degree$

$180\degree$

What is a counterexample?

A generalism that cannot be applied to a specific case

A specific case that help to prove a conjecture

A general case that is supported by specific examples

A specific case for which a conjecture is false

10.

The sum of two angles that equal 180°

Supplementary

Complementary

Vertical

Adjacent

11.

Given the conditional;

"If Ty'Shawn is late then he will get a tardy"

What is the inverse?

If Ty'Shawn is on time, then we won't get a tardy.

If Ty'Shawn gets a tardy, then he is late.

If Ty'Shawn is late then he won't get a tardy.

If Ty'Shawn doesn't get a tardy, then he is on time.

12.

Given the conditional;

"If our class earns ten trucks, then we get a treat."

What is the contrapositive?

If our class doesn't earn ten trucks then we don't get a treat.

If our class doesn't get a treat, then we didn't earn ten trucks.

If out class earns ten trucks then we don't get a treat.

Trucks!

13.

Given the conditional;

"If it is a duck then it has a beak."

Which is the converse?

If isn't not a duck, then it doesn't have a beak.

If it is a duck, then it quacks.

If it doesn't have a beak, then it's not a duck.

If it has a beak, then it is a duck.

14.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

Converse

Inverse

Contrapositive

Contrainverse

15.

When taking the converse we ___________ the hypothesis and conclusion.

negate

switch

leave the same

switch and negate

16.

When taking the inverse we _____________ the hypothesis and conclusion.

negate

switch

switch and negate

leave the same

17.

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

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

18.

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

If it is 6pm, then it is time for dinner.

If it is time for dinner, then it is 6pm.

If you want to eat dinner, then you must eat at 6pm.

None of these are right

19.

What is logically equivalent to p → q?

q → p

~ p → ~ q

p → ~ q

~ q → ~ p

20.

The negation of a disjunction of p and q is?

~ p ˄ ~ q

p ˅ ~ q

p ˄ ~ q

~ p ˅ ~ q

21.

What is the name of the following format of logical argument?

If A, then B.

If B, then C

Therefore, if A then C.

Modus Ponens

Modus Tollens

Law of Syllogism

Disjunctive Syllogism

22.

What is the name of the following format of logical argument?

Either A or B.

Not B.

Therefore A.

Modus Ponens

Modus Tollens

Law of Syllogism

Disjunctive Inference

23.

What is the name of the following format of logical argument?

Either A or B.

Not A.

Therefore B.

Modus Ponens

Modus Tollens

Law of Syllogism

Disjunctive Inference

24.

What is the name of the following format of logical argument?

If A, then B.

Therefore B.

Modus Ponens (Law of Detachment)

Modus Tollens

Law of Syllogism

Disjunctive Syllogism

25.

The first premise of an argument is "If your leg is broken, then you cannot walk." Which of the following second premises would allow you to make a valid conclusion? (Check all that apply.)

You cannot walk.

You can walk.

Your leg is broken.

Your leg is not broken.

26.

Choose the correct conclusion, or NVC for "No valid conclusion."

All dogs eat canned dog food or dog chow.

Milton the dog eats canned dog food.

Therefore, Milton eats dog chow.

Therefore, Milton does not eat dog chow.

NVC

27.

Check the statements that are logically equivalent to "~X implies W".

X implies ~W

~W implies X

W implies ~X

If ~X then W.

~X if and only if W.

28.

The two premises of an argument are given. Select the correct conclusion and reason.

Either J or K.

~J by Law of Disjunctive Syllogism

J by Law of Disjunctive Syllogism

~J by Modus Tollens

J by Modus Ponens

NVC (No Valid Conclusion)

29.

The two premises of an argument are given. Select the correct conclusion and reason.

H then K.

not H.

~K by Law of Disjunctive Syllogism

~K by Law of Detachment

~K by Modus Tollens

K by Modus Ponens

NVC (No Valid Conclusion)

30.

For any numbers a, b, and c, if a = b and b = c, then a = c.

Transitive Property

Symmetric Property

Reflexive Property

Substitution Property

31.

If a = b, then a may be replaced by b in any expression.

Transitive Property

Reflexive Property

Symmetric Property

Substitution Property

32.

For any number a, a = a.

Transitive Property

Reflexive Property

Symmetric Property

Substitution Property

33.

For any numbers a and b, if a = b, then b = a.

Transitive Property

Reflexive Property

Symmetric Property

Substitution Property

34.

Which property of multiplication is shown below:
6c + 8b = 2(3c + 4b)

Associative

Commutative

Identity

Distributive

35.

Name the property described:
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

Reflexive

Symmetric

Transitive

Addition

36.

Name the property described:
If PQ = RS then RS = PQ

Reflexive

Symmetric

Transitive

Addition

37.

Name the property described:
∠B≅∠B

Reflexive

Symmetric

Transitive

Addition

38.

If a=b, then 8a=8b.

Multiplication Property of Equality

Division Property of Equality

Reflexive Property of Equality

Addition Property of Equality

39.

DE=ED

Transitive Property

Symmetric Property

Reflexive Property

40.

GH + HI = GI is an example of which property

Addition Property

Transitive Property

Sum of the Parts = Whole (Segment Addition Property)

Multiplication Property

41.

Name the property described

If CD = 4, then CD + 12 = 4 + 12

Addition Property

Subtraction Property

Substitution Property

Division Property

42.

What kind of angles are these? (Choose all that apply)

complementary

supplementary

right

linear pair

43.

What is our reason for knowing that these angles are supplementary?

They add up to 180 degrees

Linear Pair Theorem

Definition of a Linear Pair

Definition of Supplementary Angles

44.

Find the m∠2 and state the reason

56, linear pair theorem

124, vertical angle theorem

56, definition of supplementary angles

124, definition of vertical angles

45.

What are supplementary angles?

Angles that add up to 180°

Angles that add up to 90°

Angles that are equal to each other

Angles that are opposite of each other when lines intersect

46.

Which angle is a linear pair with $\angle1$ ?

$\angle2$

$\angle3$

$\angle4$

$\angle5$

$\angle6$

47.

Which angle is a vertical angle to with $\angle7$ ?

$\angle1$

$\angle5$

$\angle3$

$\angle6$

$\angle9$

48.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle A$ and $\angle B$ form a linear pair, then $\angle A$ and $\angle B$ are supplementary.

Linear Pair Theorem

Definition of Supplementary Angles

Congruent Supplements Theorem

Definition of Congruence

49.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle A$ is a right angle and $\angle B$ is a right angle, then $\angle A$ and $\angle B$ are congruent.

Linear Pair Theorem

Definition of Supplementary Angles

Right Angle Theorem

Definition of Congruence

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Geometry Honors Chapter 2 Review

Total questions: 49

Worksheet time: 51mins

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