Conditional Statements and Reasoning

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

If an object is a ring, then it is

made of gold.

• If an object is made of gold, then it is a ring.

• If an object is not a ring, then it is not made of god.

• If an object is not made of gold, then it is not a ring.

• There is no converse of the statement.

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

A concluding statement reached using inductive reasoning is called a _______

• compound statement

• conjecture

• condition

• counterexample

Tags

CCSS.7.SP.A.2

• x = 4

• x = -2

• x = 2

• x = -4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

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

• goldfish
• frog
• elephant
• cat

Tags

CCSS.L.6.5B

CCSS.L.8.5B

CCSS.W.11-12.2D

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

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.

p→q
What is the contrapositive?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

Tags

CCSS.HSS.CP.A.3

p→q
What is the converse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q