Unit 3 Test Review: Logic & Proof

A concluding statement reached using inductive reasoning is called a _______

• compound statement

• conjecture

• condition

• counterexample

How many counters would come next?

• 5

• 7

• 9

• 11

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

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

• goldfish

• frog

• elephant

• cat

What is the symbol for NOT (negation)?

• ∕

• ∨

• ~

• ∧

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

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

If a species is a fish, then it lives in

water.

• If a species does not live in water, then it is not a fish.

• If a species is not a fish, then it does not live in water.

• If a species lives in water, then it is a fish.

• There is not contrapositive of the statement.

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

If a gem is a ruby, then it is red.

• If a gem is not red, then it is not a ruby.

• If a gem is not a ruby, then it is not red.

• If a gem is red, then it is a ruby.

• There is no contrapositive 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

Reason #1

• Because it says so

• Given

• Why not?

• Who knows?