Unit 2: Reasoning Geometry

A type of logical statement that has 2 parts, a hypothesis and conclusion is called a __________________________________.

• Conditional Statement
• Conjecture
• Counterexample
• Proof

A statement that contains the phrase "if and only if"

• Biconditional Statement
• Proof
• Theorem
• Conjecture

Tags

CCSS.HSA.APR.B.2

A statement formed by interchanging the hypothesis and conclusion of a conditional statement is called the _________________

• Converse
• Inverse
• Contrapositive
• Negation

A statement formed by negating the hypothesis and conclusion of a conditional statement is called the ______________________

• Inverse
• Converse
• Contrapositive
• Negation

The equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement is called the ________________

• Contrapositive
• Inverse
• Converse
• Conditional Statement

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

• None of these

• If Jose doesn't have an allergic reaction, then he didn't eat fish.

• If Jose doesn't eat fish, then he doesn't have an allergic reaction.

• If Jose has an allergic reaction, then he ate fish.

Given the conditional;

"If our class earns ten trucks, then we get a treat."

What is the contrapositive?

• If our class doesn't earn ten trucks then we don't get a treat.

• If our class doesn't get a treat, then we didn't earn ten trucks.

• If out class earns ten trucks then we don't get a treat.

• Trucks!

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

• if

• then

• if and only if

• always

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

• If an angle has 90 degrees, then it is a right angle.
• If an angle is a right angle, then it has 90 degrees.
• An angle is a right angle if and only if it has 90 degrees.

Tags

CCSS.HSG.CO.A.1