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WorksheetsDeductive Reasoning
Total questions: 15
Worksheet time: 15mins
Max is a dog.
Dogs are animals.
So Max is .....
Dog
Animal
Human
Alien
Jack is driving a Ferrari.
All Ferrari owners are rich.
So Jack is ...
Broke
Rich
Vin Diesel
Italian
A type of reasoning that uses general facts, definitions, and accepted properties in a logical order to write a logical argument.
Inductive
Deductive
Logic
Reasoning
The sum of the interior angle of a square is 360.
The sum of the interior angle of a rectangle is 360.
The sum of the interior angle of parallelogram is 360.
The sum of the interior angle of a rhombus is 360.
What is the possible conclusion base on the given information?
The sum of the exterior angles of a quadrilateral is 360.
The sum of the interior angles is 360.
The sum of the interior angles of a quadrilateral is 360.
The interior angle of a quadrilateral is 360.
Passing score of the quiz is 50 points. Linda got a score of 55.
What is the possible conclusion?
Linda did not passed the quiz.
Linda passed the quiz.
Linda will get a grade of 95.
Linda will be promoted to another grade.
Law of deductive reasoning which states that if the conditional statement is true and its hypothesis is true, then the conclusion is also true.
Law of Contrapositive
Law of Syllogism
Law of Detachment
Law of Converse
If I will not study, I will fail the exam.
If I will fail the exam, I will be scolded by my parent.
Therefore, if I will not study, I will be scolded by my parent.
What law is being used in this argument?
Law of Detachment
Law of Contrapositive
Law of Syllogism
Law of Converse
How would you describe the Law of Detachment symbolically?
if p -> q is true and q is true; then p is true
if p -> q is true and p is true; then q is true
if p -> q and q -> r, then p -> r
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If you passed the final, then you pass the class. You passed the final.
You passed the class.
You didn't pass the class
Not possible
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.
Your parents let you borrow the car.
Your parents didn't let you borrow the car.
Not possible
How would you describe the Law of Syllogism symbolically?
if p -> q is true and q is true, then p is true.
if p -> q is true and p is true, then q is true.
if p -> q is true and q -> r is true, then p -> r is true
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.
If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.
If a figure is a rhombus, then the figure is a quadrilateral.
If a figure is a quadrilateral, then the figure is a rhombus.
Not possible
If the school cafeteria sells pizza today, Greg is going to eat four pieces. Pizza is on sale for school lunch today.
Using deductive reasoning, what statement can you make based on this information?
Lots of people will buy pizza.
The school cafeteria sells pizza.
Greg will eat four pieces of pizza.
Greg needs to go on a diet.
________, also known as logical reasoning, is the process of reasoning logically from given statements or facts to a conclusion.
Inductive Reasoning
Deductive Reasoning
Biconditional Statements
Contrapositive statements
Make a conclusion.
1. If a number is divisible by 10, then it is divisible by 2.
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.
