Free Printable Chapter 2 Review

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Chapter 2 Review

Total questions: 36

Worksheet time: 9hrs 0mins

Name

Class

Date

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

You live in Disney Land

You are an old person.

You live in Florida

You live in Orlando

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.

Invalid

Valid

Sammy is a Great Dane

Sammy is really a cat.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Then it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam

I study for 1 hour each day.

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

not possible

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

You are at least 25 years old

You can rent a car

You can go on a road trip

Invalid

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

You have more energy

If you exercise regularly, then you have more energy

You have a healthy body

If you do not have a healthy body, then you do not exercise regularly

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

You will need to bring your fishing rod.

Invalid

You are a boring person.

You are going to catch a fish.

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

If you return to the pool you will enjoy yourself.

If you enjoy yourself, then you went to the pool.

If you go to the pool, you will want to return.

No conclusion can be made.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

Law of Detachment

Law of Syllogism

Law of Contrapositive

None

10.

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

∠A is complementary to ∠B

∠A is acute.

∠A is obtuse.

∠A is 40⁰

11.

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Statement 1: If I study for one hour each day, then I will score well on the exam

Statement 2: I will study from 6pm to 7pm tonite.

I study for several hours each day.

I will do well on the exam

If I do well on the exam, I studied for hours.

not possible

12.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

Look out for the snowplows while driving to school.

The big test will not be given today.

The roads will be hard to drive on.

You should call the school to see if school is canceled.

13.

Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Opposite angles of a quadrilateral are congruent

Opposite angles of a rhombus are congruent

Every quadrilateral is a rhombus

Every parallelogram is a rhombus

14.

Use Law of Syllogism to make a conclusion.
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.

If a number is divisible by 10, then it is even,

If a number is even, then it is divisible by 10.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

15.

Use Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft².

If the side of a square is 5 ft, then the perimeter is 20 ft.

If the perimeter of a square is 20 ft, then the area is 25 ft²

If the area of a square is 25 ft², then the side length is 5 ft.

If the are of a square is 25 ft², then the perimeter is 20 ft.

16.

Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies. If Chris goes to the movies, then Todd will go to the movies.

If Chris goes to the movies, then Sarah will go to the movies.

If Todd goes to the movies, then Chris will go to the movies.

If Sarah goes to the movies, then Chris will go to the movies.

If Chris goes to the movies, then Todd will go to the movies.

17.

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

Tomorrow is Wednesday.

We have school.

Today is Tuesday.

We do not have school.

18.

Write the conclusion of the statement,

"If you are Anthony Rizzo, then you are a Chicago Cub."

You are Anthony Rizzo.

You are a Chicago Cub.

The Cubs are the best.

19.

What are the two parts of a conditional statement?

Hypothesis

Conclusion

Converse

Inverse

20.

Rewrite the statement as a conditional statement.

"The sum of the angles of a triangle is 180."

If the sum of the angles of a triangle, then 180.

If a figure is a triangle, then the sum of the angles is 180.

If a figure sums angles, then the triangle is 180.

21.

Rewrite the statement as a conditional statement.

"All dolphins are mammals."

If a dolphin, then a mammal.

If an animal is a dolphin, then it is a mammal.

If an animal is a mammal, then it is a dolphin.

If an animal is not a mammal, then it is not a dolphin.

22.

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

goldfish

frog

elephant

cat

23.

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

-3 and -3

True. There is no counterexample

-1 and -1

4 and 6

24.

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

2/3

4/5

1/2

3/2

25.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

-2

True. There is no counterexample.

26.

Which angles are vertical angles?

$\angle8\ \&\ \angle7$

$\angle8\ \&\ \angle6$

$\angle8\ \&\ \angle5$

27.

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

$\angle1$

$\angle5$

$\angle3$

$\angle6$

$\angle9$

28.

100°

80°

90°

180°

29.

Find the value of x.

180

30.

What is the value of x?

180

31.

Complementary Angles have a sum of ___ degrees.

180

360

32.

What angle is vertical to angle 2?

∠4

∠1

∠2

∠5

33.

What angle is supplementary to angles 2 and 3?

∠4

∠1

∠5

∠3

34.

What angle is complementary to angle 4?

∠5

∠3

∠2

∠1

35.

What is the measure of x?

60°, complementary

60°, supplementary

120°, vertical

120°, adjacent

36.

What is the value of x?

108

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Chapter 2 Review

Total questions: 36

Worksheet time: 9hrs 0mins

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