Quizizz G-2.1A: Reasoning and Proof

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

• You will pass your test
• You do your homework
• If you do your homework you will pass your test
• You fail your test

Given
 “If Jason plays basketball, then Steve sits on the bench.   If Steve sits on the bench, then Ronald starts at center.”    
 Which of the following is a valid statement?

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

• you can buy a new CD
• you cannot buy a new CD
• no conclusion can be made
• you earn more than $14

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.

What type of reasoning do we use when we are writing proofs?

• Inductive Reasoning

• Deductive Reasoning

Rewrite the statement as a conditional statement in if-then form.

STATEMENT: Fish have gills.

• If it has gills, then it is a fish.

• If it is a fish, then it has gills.

• If it is a fish, then it lives in the water.

• If an animal has gills, then it breathes underwater.

Write the converse of the statement below.

STATEMENT: If the coin is a dime, then it is worth ten cents.

• If the coin is NOT a dime, then it is NOT worth ten cents.

• If the coin is NOT worth ten cents, then it is NOT a dime.

• If a coin is worth ten cents, then it is a dime.

Is line AC perpendicular to line BD?

• YES

• NO

My mother buys milk every time she goes to Safeway. She is at Safeway now. I predict she is going to buy milk.

What type of reasoning is this?

• Deductive Reasoning

• Inductive Reasoning

Use the Law of Detachment, to determine if you can make the conclusion or not.

STATEMENT: If you exercise every day, you will lose weight.

Conclusion: You lost 3 pounds last week.

• The conclusion is TRUE

• It isn't possible to tell if the conclusion is based on the statement.