Conditional Statements AND Algebraic Reasoning Proofs

If an angle is an acute angle, then the angle is 45 degrees.  
What is the CONVERSE? 

• If an angle is not an angle then the angle isn't 45 degrees.
• If the angle is 45 degrees then the angle is an acute angle.

What does this mean?

• If p then q
• If p or q
• If q then p
• If p not q

What does this mean?

• If p then q
• If not p then not q
• If p and q
• If p or q

What is the conclusion to the statement?

• You like fried chicken
• You only like fried chicken from KFC
• You like KFC
• You hate KFC

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

What is the inverse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

Write the following statement in if-then form.
All students at Hermitage take an English class.

• If you take an English class, then you are a student at Hermitage.
• If you are a student at Hermitage, then you take an English. class

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.
• If the food is not in the oven, then it is not cooked.
• If the food is cooked, then its in the oven.
• If food is not in the oven, then its cooked.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."

• If you are not a guitar player, then you are not a musician.
• If you are a musician, then you are a guitar player.
• If you are a guitar player, then you are not a musician.
• If you are not a musician, then you are not a guitar player.