Chapter 2: Q2 (page 34)
State the hypothesis and the conclusion of each conditional.
If she’s smart, then I’m a genius.
The hypothesis is she’s smart and the conclusion is I’m a genius.
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Provide a counterexample to show that each statement is false. You may use words or draw a diagram.
If 
, then
Copy everything shown and supply missing statements and reasons.
Given:
Prove:
Proof:
Copy everything shown and supply missing statements and reasons.
Given: as shown
Prove:
Proof:
Give an example of a false conditional whose converse is true.
Consider the following statements:
Reflexive Property: Robot A is as rusty as itself.
Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.
Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.
A relation such as “is as rusty as” that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?
a. Is rustier than
b. Has the same length as
c. Is opposite (for rays)
d. Is coplanar with (for lines)
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