Quiz 2.1-2.4

Which of the following best describes inductive reasoning?

• Drawing a general conclusion from specific examples.

• Proving a statement using logical steps from known facts.

• Assuming a statement is true without evidence.

• Using a counterexample to disprove a statement.

Tags

CCSS.2.NBT.A.2

Which of the following is an example of deductive reasoning?

• All mammals have lungs. A whale is a mammal. Therefore, a whale has lungs.

• The sun rises every morning, so it will rise tomorrow.

• My friend likes pizza, so everyone likes pizza.

• I saw three red cars today, so all cars must be red.

If the statement "If it is raining, then the ground is wet" is true, which of the following is a valid conclusion using deductive reasoning?

• If the ground is wet, then it is raining.

• If it is not raining, then the ground is not wet.

• If it is raining, then the ground is wet.

• If the ground is not wet, then it is not raining.

Which of the following is a valid counterexample to the statement: "All prime numbers are odd"?

Which of the following is a conditional statement?

• The sky is blue.

• All birds can fly.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the converse of the statement: "If a figure is a square, then it has four sides"?

• If a figure has four sides, then it is a square.

• If a figure is not a square, then it does not have four sides.

• If a figure does not have four sides, then it is not a square.

• If a figure is a square, then it does not have four sides.

Tags

CCSS.5.G.B.4

Which of the following is the contrapositive of the statement: "If the sky is blue, then it is daytime"?

• The sky is blue only when it is daytime.

• If it is daytime, then the sky is blue.

• If it is not daytime, then the sky is not blue.

• If the sky is not blue, then it is not daytime.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Tags

CCSS.HSA.REI.C.9

Which describes when a conjunction is true? (Conjunctions are the statements that use AND)

• A conjunction is only true when both statements are true.

• A conjunction is true if at least one statement is true

• Conjunctions are always true.

• Conjunctions are never true.