Scribe: ________________________

Proofreader/fact checker: ________________________

More About Conditional Statements
Geometry Pairs Project

I. For each of the following conditional statements:

a) Underline the hypothesis

b) Rewrite the statement in correct If-then form.

1. You need a snorkel if you live in Atlantis.

If _________________________________ then __________________________.

 

2. You may watch TV only if you have finished all of your homework.

If _________________________________ then __________________________.

II. Conditional Statement: "You can observe a lot by watching." (Yogi Berra)

1. Rewrite this conditional statement in correct If-Then form.

If _________________________________ then __________________________.

2. Write the contrapositive of the given conditional statement.

 

 

 

 

III. Read the following conditional statement, and be sure that you understand exactly what it means before you answer the two questions about it.

"Were it left to me to decide whether we should have a government without newspapers, or newspapers without a government, I should not hesitate a moment to choose the latter." (Thomas Jefferson)

1. What point is Thomas Jefferson making here? Is he advocating a society

without government? without newspapers?

 

2. What do you believe is a correct statement of the converse of Jefferson's remark?

IV. Read each of the following arguments, assume that the given statements are true, and state whether or not the conclusion is valid. If it is not, explain the error in the reasoning.

1. Given: 1) Koala Bears eat nothing but eucalyptus leaves.

2) Yesterday there were leaves on my eucalyptus tree, but today there are

no leaves on it.

Conclusion: A koala bear ate the leaves off my eucalyptus tree.

 

 

 

 

2. Given: 1) You must pay a fine of $50 only if your dog does not have a license.

2) Your dog does not have a license.

Conclusion: You must pay a fine of $50.

 

 

 

3. Given: 1) I know the correct phone number if I have reached the party to whom I am speaking.

2) I have reached the party to whom I am speaking.

Conclusion: I know the correct phone number.

 

 

V. Each of four notecards has a single letter written on one side of the card and a single digit number written on the other side. Suppose that these four cards are on a table in front of you, as shown below, and you are required to establish the truth of a conditional statement by turning over exactly two of the cards. Which two cards should you turn over to prove the statement: "If the letter A is on one side of the card then the number 3 is on the other side" ?