deductive reasoning

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

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.

Make a conclusion.

1. If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
2. 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.

Write the conditional statement that follows from the pair of true statements.

If the sun is shining, then it is a beautiful day.

If it is a beautiful day, then we will have a picnic.

• If the sun is shining, then it is a beautiful day.

• If it is a beautiful day, then the sun is shining.

• If the sun is shining, then we will go on a picnic.

• If we go on a picnic, then the sun is shining.

IF All even numbers are divisible by 2

AND 28 is even

THEN

• 2 is an even number

• 28 is divisible by 2

• All numbers are divisible by 2

• All numbers are even numbers

Draw a conclusion from the statement.
Given: If you live in Orlando, then you live in Florida.
Roger lives in Orlando.
Conclusion: ?

• Roger lives in Disney Land
• Roger is an old person.
• Roger lives in Florida
• Roger lives in Orlando

Draw a conclusion from the statement.
Given: If you are at least 25 year old, then you can rent a car.
Clay can rent a car.
Conclusion: ?

• Clay is at least 25 years old
• Clay can rent a car
• Clay can go on a road trip
• Invalid

Draw a conclusion from the statement.

If Jack goes to school, then it is Monday.

Jack doesn't go to school.

• Jack skipped school.

• It isn't Monday.

• It's Saturday.

• Invalid: We can't make any conclusion.

What can you conclude from the given true statements?

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

I score well on the exam.

• I studied for one hour each day.

• I studied a lot.

• I didn't study.

• We can't conclude anything.

What can you conclude from the given true statements?

Every child needs love and attention.

Jose is a child.

• Jose does not need love and attention.

• Jose needs love and attention.

• Jose is not a child anymore.

• We can't conclude anything.