Unit 2 Test Review

A counterexample is an example that proves a conjecture to be true.

• True

• False

If it is a fraction, then it is a number between 0 and 1. What is a counterexample?

• 2/3

• 4/5

• 1/2

• 3/2

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

• goldfish

• frog

• elephant

• cat

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

• 40° and  140°

• 80° and  80°

• 30° and  150°

• 
  90° and  90°

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

• If an angle is acute, then it has a measure less than 90°.

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

• If an angle is acute, then it is acute.

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

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

If an object is a bird, then it can fly.

• If an object can fly, then it is a bird.

• If an object is not a bird, then it cannot fly

• 
  If an object cannot fly, then it is not a bird

• 
  There is no converse of the statement

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.

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

If there is lightning, then there is thunder.

• If there is not lightning, then there is not thunder.

• If there is thunder, then there is lightning.

• 
  There is lightning if and only if there is thunder.

• 
  There is no biconditional statement.

Which reason justifies the statement?

• Subtraction Property of Equality

• Combine Like Terms

• Division Property of Equality

• Addition Property of Equality