3.1-3.3 Review Logic and Reasoning

What does a positive learning environment look like to you?

Tags

CCSS.RI. 9-10.10

CCSS.RI.11-12.10

CCSS.RI.8.10

CCSS.RL.11-12.10

CCSS.RL.9-10.10

When you make a conjecture based on a pattern you observe, you are using __________________.

• Inductive Reasoning

• Deductive Reasoning

• Counterexamples

Tags

CCSS.HSS.CP.A.5

Find the next term of the following sequence: -14, -9, -4, 1, 6, ___

• 1

• 11

• 5

• -5

Tags

CCSS.HSF.BF.A.2

Consider the true statement: "If two angles are vertical angles, then they are congruent." Which statement must also be true?

• If two angles are congruent, then they are vertical angles.

• If two angles are not vertical angles, then they are not congruent.

• If two angles are not congruent, then they are not vertical angles.

• Congruent angles are always vertical.

Tags

CCSS.7.G.B.5

Which statement is the inverse of the following statement: "If two lines are perpendicular, then they cross to form 90 degree angles."

• If two lines cross to form 90 degree angles, then they are perpendicular.

• If two lines are not perpendicular, then they do not cross to form 90 degree angles.

• If two lines do not cross to form 90 degree angles, then they are not perpendicular.

Which of the following arguments uses the Law of Syllogism.

• If two angles add up to 180 degrees, they are supplementary. Two angles add up to 180 degrees. Therefore, the angles are supplementary.

• If two adjacent angles form a straight line, then they are a linear pair. If two angles are a linear pair, then they are supplementary. Therefore, if two adjacent angles form a straight line, then they are supplementary.

Is the following biconditional statement true? "The area of a rectangle is 36 if and only if it has a length of 12 and a width of 3."

• True

• False

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

• If it is 6pm, then it is time for dinner.
• If it is time for dinner, then it is 6pm.
• If you want to eat dinner, then you must eat at 6pm.
• None of these are right

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

If you play football, then you wear

a uniform.

• If you wear a uniform, then you play football.

• If you do not play football, then you do not wear a uniform.

• If you do not wear a uniform, then you do not play football.

• There is no converse of the statement.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None