Conditional Statements & Counterexamples (geometry warm-up #17)

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

If it is an angle, then it is acute. What is an appropriate counterexample?

• 70⁰
• 45⁰
• 120⁰
• True. There is no counterexample.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

• 10
• -2
• 0
• True. There is no counterexample.

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

What is the inverse to this statement?

• If you live in Canada, you live in Montreal
• If you don't live in Montreal, then you don't live in Canada.
• If you don't live in Canada, you don't live in Montreal.
• Montreal is in Brazil.

What is this mean?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

What is this?

• Conditional Statement
• Inverse
• Converse
• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

Choose the correct symbolic notation for the statement:

 p if and only if q

• $p\rightarrow q$

• $q\rightarrow p$

• $p\leftrightarrow q$

• $p\wedge q$

Choose a bi-conditional statement that could be written from the following:

p: a polygon is a triangle

q: a polygon has 3 sides.

• If a polygon has 3 sides, then it is a triangle.

• A polygon has 3 sides if and only if it is a triangle.

• If a polygon has 3 sides, then it is a triangle.

• A polygon is not a triangle if and only if it does not have 3 sides.