Unit 2: Logic & Proofs

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

• Inductive

• Deductive

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

• If an object is not a computer, then it does not have a hard drive.

• If an object does not have a hard drive, then it is not a computer.

• If an object has a hard drive, then it is a computer.

• There is no inverse of the statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

• If a species is not human, then it does not walk on two feet.

• If a species is human, then it walks on two feet.

• If a species does not walk on two feet, then it is not human.

• There is no contrapositive of the statement.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

• Inverse

• Contrapositive

• Biconditional

• Converse

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

When writing a proof start with ......

• The given

• Transative property

• Supplementary angles

• Subtraction POE

If a is related to b and b is related to c then a is related to c

• transative property

• subtraction POE

• Given

• Definition of right angle

What is the converse of the statement:

If you play a guitar, then you play a stringed instrument.

• If you do not play a guitar, then you do not play a stringed instrument.

• You play a guitar if and only if you play a stringed instrument.

• If you play a stringed instrument, then you play a guitar.

• If you do not play a stringed instrument, then you do not play a guitar.