2/4/2021-Deductive Reasoning

1

Using the statements:
1. If it is Friday, then I will get paid. 2. It is Friday.
3. ????
Write the conclusion. (sentence #3)

1

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

1

Which is a valid conclusion from these statements?
1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.
3. ??? (write sentence 3 below...the valid conclusion)

1

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

1

Consider the following statements.
(1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

1

Consider the following symbolic representation.

p→q q→r ∴p→r
Which law is modeled?

1

Consider the following symbolic representation.

p→q p ∴q
Which law is modeled?

1

(1) If an angle is 40⁰, then it is acute. (2) ∠A is 40⁰. Using the Law of Detachment, what is the logical statement to conclude?

1

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.

1

Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8. The value of x is 4.

1

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 ft squared.

1

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If the sun is shining, then it is a beautiful day.
(2) If it is a beautiful day, then we will have a picnic.
(3) ??? (write this statement in the answer blank)

1

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If Todd goes to the movies, then Sarah will go to the movies.
(2) If Chris goes to the movies, then Todd will go to the movies.
(3) ??? (write the statement in the answer blank)

1

What can be concluded from the following statements?
If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

1

What is a valid conclusion based on the 2 statements given:
If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

1

By the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line. Planes S and T intersect.

1

Determine if the 3rd statement is valid by the Law of Syllogism. Ask yourself...are we following the law correctly here?
Given:
If you are in California, then you are in the west coast.
If you are Los Angeles, then you are in California. If you are in Los Angeles, then you are in the west coast.

Answer "True" if the 3rd statement is valid. Answer "False" if the 3rd statement is not valid.

1

What is the contrapositive of the statement:
If an animal is a dog, then it does not moo.

1

What is the inverse of the statement:
If an animal is a dog, then it does not moo.

1

2/4/2021-Deductive Reasoning

Using the statements:
1. If it is Friday, then I will get paid. 2. It is Friday.
3. ????
Write the conclusion. (sentence #3)

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

Which is a valid conclusion from these statements?
1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.
3. ??? (write sentence 3 below...the valid conclusion)

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Consider the following statements.
(1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Consider the following symbolic representation.

p→q q→r ∴p→r
Which law is modeled?

Consider the following symbolic representation.

p→q p ∴q
Which law is modeled?

(1) If an angle is 40⁰, then it is acute. (2) ∠A is 40⁰. Using the Law of Detachment, what is the logical statement to conclude?

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.

Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8. The value of x is 4.

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 ft squared.

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If the sun is shining, then it is a beautiful day.
(2) If it is a beautiful day, then we will have a picnic.
(3) ??? (write this statement in the answer blank)

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If Todd goes to the movies, then Sarah will go to the movies.
(2) If Chris goes to the movies, then Todd will go to the movies.
(3) ??? (write the statement in the answer blank)

What can be concluded from the following statements?
If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

What is a valid conclusion based on the 2 statements given:
If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

By the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line. Planes S and T intersect.

What is the contrapositive of the statement:
If an animal is a dog, then it does not moo.

What is the inverse of the statement:
If an animal is a dog, then it does not moo.

What is the converse of the statement:
If an animal is a dog, then it does not moo.

Using the statements:
1. If it is Friday, then I will get paid. 2. It is Friday.
3. ????
Write the conclusion. (sentence #3)

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

Which is a valid conclusion from these statements?
1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.
3. ??? (write sentence 3 below...the valid conclusion)

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Consider the following statements.
(1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Consider the following symbolic representation.

p→q q→r ∴p→r
Which law is modeled?

Consider the following symbolic representation.

p→q p ∴q
Which law is modeled?

(1) If an angle is 40⁰, then it is acute. (2) ∠A is 40⁰. Using the Law of Detachment, what is the logical statement to conclude?

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.

Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8. The value of x is 4.

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 ft squared.

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If the sun is shining, then it is a beautiful day.
(2) If it is a beautiful day, then we will have a picnic.
(3) ??? (write this statement in the answer blank)

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If Todd goes to the movies, then Sarah will go to the movies.
(2) If Chris goes to the movies, then Todd will go to the movies.
(3) ??? (write the statement in the answer blank)

What can be concluded from the following statements?
If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

What is a valid conclusion based on the 2 statements given:
If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

By the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line. Planes S and T intersect.

What is the contrapositive of the statement:
If an animal is a dog, then it does not moo.

What is the inverse of the statement:
If an animal is a dog, then it does not moo.

What is the converse of the statement:
If an animal is a dog, then it does not moo.

2/4/2021-Deductive Reasoning

2/4/2021-Deductive Reasoning

Using the statements: 1. If it is Friday, then I will get paid. 2. It is Friday.3. ???? Write the conclusion. (sentence #3)

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? 1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

Which is a valid conclusion from these statements? 1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.3. ??? (write sentence 3 below...the valid conclusion)

Which statement is a valid conclusion based on the argument? If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Consider the following statements. (1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own. Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Consider the following symbolic representation. p→q q→r ∴p→r Which law is modeled?

Consider the following symbolic representation. p→q p ∴q Which law is modeled?

(1) If an angle is 40⁰, then it is acute. (2) ∠A is 40⁰. Using the Law of Detachment, what is the logical statement to conclude?

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.

Using the Law of Detachment, what can you conclude? If x has a value of 4, then 2x has a value of 8. The value of x is 4.

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 ft squared.

Write the if-then statement that follows from the pair of true statements using one of the laws we learned. (1) If the sun is shining, then it is a beautiful day. (2) If it is a beautiful day, then we will have a picnic.(3) ??? (write this statement in the answer blank)

Write the if-then statement that follows from the pair of true statements using one of the laws we learned. (1) If Todd goes to the movies, then Sarah will go to the movies. (2) If Chris goes to the movies, then Todd will go to the movies.(3) ??? (write the statement in the answer blank)

What can be concluded from the following statements? If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

What is a valid conclusion based on the 2 statements given: If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

By the Law of Detachment, what can you conclude from the statement? If two planes intersect, then their intersection is a line. Planes S and T intersect.

What is the contrapositive of the statement: If an animal is a dog, then it does not moo.

What is the inverse of the statement: If an animal is a dog, then it does not moo.

What is the converse of the statement: If an animal is a dog, then it does not moo.

Using the statements: 1. If it is Friday, then I will get paid. 2. It is Friday.3. ???? Write the conclusion. (sentence #3)

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? 1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

Which is a valid conclusion from these statements? 1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.3. ??? (write sentence 3 below...the valid conclusion)

Which statement is a valid conclusion based on the argument? If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Consider the following statements. (1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own. Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Consider the following symbolic representation. p→q q→r ∴p→r Which law is modeled?

Consider the following symbolic representation. p→q p ∴q Which law is modeled?

(1) If an angle is 40⁰, then it is acute. (2) ∠A is 40⁰. Using the Law of Detachment, what is the logical statement to conclude?

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.

Using the Law of Detachment, what can you conclude? If x has a value of 4, then 2x has a value of 8. The value of x is 4.

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 ft squared.

Write the if-then statement that follows from the pair of true statements using one of the laws we learned. (1) If the sun is shining, then it is a beautiful day. (2) If it is a beautiful day, then we will have a picnic.(3) ??? (write this statement in the answer blank)

Write the if-then statement that follows from the pair of true statements using one of the laws we learned. (1) If Todd goes to the movies, then Sarah will go to the movies. (2) If Chris goes to the movies, then Todd will go to the movies.(3) ??? (write the statement in the answer blank)

What can be concluded from the following statements? If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

What is a valid conclusion based on the 2 statements given: If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

By the Law of Detachment, what can you conclude from the statement? If two planes intersect, then their intersection is a line. Planes S and T intersect.

What is the contrapositive of the statement: If an animal is a dog, then it does not moo.

What is the inverse of the statement: If an animal is a dog, then it does not moo.

What is the converse of the statement: If an animal is a dog, then it does not moo.

Using the statements:
1. If it is Friday, then I will get paid. 2. It is Friday.
3. ????
Write the conclusion. (sentence #3)

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

Which is a valid conclusion from these statements?
1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.
3. ??? (write sentence 3 below...the valid conclusion)

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Consider the following statements.
(1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Consider the following symbolic representation.

p→q q→r ∴p→r
Which law is modeled?

Consider the following symbolic representation.

p→q p ∴q
Which law is modeled?

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.

Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8. The value of x is 4.

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 ft squared.

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If the sun is shining, then it is a beautiful day.
(2) If it is a beautiful day, then we will have a picnic.
(3) ??? (write this statement in the answer blank)

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If Todd goes to the movies, then Sarah will go to the movies.
(2) If Chris goes to the movies, then Todd will go to the movies.
(3) ??? (write the statement in the answer blank)

What can be concluded from the following statements?
If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

What is a valid conclusion based on the 2 statements given:
If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

By the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line. Planes S and T intersect.

What is the contrapositive of the statement:
If an animal is a dog, then it does not moo.

What is the inverse of the statement:
If an animal is a dog, then it does not moo.

What is the converse of the statement:
If an animal is a dog, then it does not moo.

Using the statements:
1. If it is Friday, then I will get paid. 2. It is Friday.
3. ????
Write the conclusion. (sentence #3)

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
1. If it is snowing heavily, then school will be canceled. 2. If school is canceled, the big test will not be given today. 3. It is snowing heavily, then...(finish this sentence)

Which is a valid conclusion from these statements?
1. If a quadrilateral is a rhombus, then it is a parallelogram. 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent.
3. ??? (write sentence 3 below...the valid conclusion)

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Consider the following statements.
(1) If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Consider the following symbolic representation.

p→q q→r ∴p→r
Which law is modeled?

Consider the following symbolic representation.

p→q p ∴q
Which law is modeled?

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.

Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8. The value of x is 4.

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 ft squared.

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If the sun is shining, then it is a beautiful day.
(2) If it is a beautiful day, then we will have a picnic.
(3) ??? (write this statement in the answer blank)

Write the if-then statement that follows from the pair of true statements using one of the laws we learned.

(1) If Todd goes to the movies, then Sarah will go to the movies.
(2) If Chris goes to the movies, then Todd will go to the movies.
(3) ??? (write the statement in the answer blank)

What can be concluded from the following statements?
If Tom goes fishing, then he brings a pole. If Tom brings his pole, then he catches a fish.

What is a valid conclusion based on the 2 statements given:
If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.

By the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line. Planes S and T intersect.

What is the contrapositive of the statement:
If an animal is a dog, then it does not moo.

What is the inverse of the statement:
If an animal is a dog, then it does not moo.

What is the converse of the statement:
If an animal is a dog, then it does not moo.