Logic and Reasoning

Question 1

How can the statement below be rewritten as a conditional statement in if-then form?Two angles with angle measures that add up to 180 degrees form a linear pair.

Revolt · Accepted Answer

C: If the measures of two angles add up to 180 degrees, then they form a linear pair.

Question 2

Sal records the arrival time for his bus every day of the week for two months. He observed that on Thursdays the bus is at least 5 minutes later than the other days of the week. He creates this conjecture: If the bus is more than 5 minutes late, then it is Thursday. What type of reasoning did Sal use? Sal observes that the bus is 10 minutes late. If his conjecture is true, what can be concluded?

Revolt · Accepted Answer

Selection 1: inductive reasoning; Selection 2: It is Thursday.

Question 3

Which statement is true regarding the given logical statement?If a number is a square number greater than 1, then it has at least one factor other than 1 and itself.

Revolt · Accepted Answer

B: The hypothesis is "a number is a square number greater than 1."

Question 4

Question 4

Revolt · Accepted Answer

89513

Question 5

Kellie is given the following information:If two lines are perpendicular, then they intersect at a right angle. Lines A and B are perpendicular.She concludes that lines A and B intersect at a right angle. Which statements are true? Check all that apply.She used inductive reasoning.She used the law of detachment.Her conclusion is valid.The statements can be represented as "if p, then q and if q, then r."Her conclusion is true.

Revolt · Accepted Answer

B: She used the law of detachment.; C: Her conclusion is valid.; E: Her conclusion is true.

Question 6

Given the following statements, what conclusion can be drawn using the law of detachment?If two angles are vertical, then they are congruent. Angles ABC and DBE are vertical.

Revolt · Accepted Answer

A: Angles ABC and DBE are congruent.

Question 7

Given the following statements, what conclusion can be drawn using the law of syllogism?If the area of a square is an odd perfect square, then the side length of the square will be odd. If the side length of the square is odd, then the perimeter of the square will be even.

Revolt · Accepted Answer

C: If the area of a square is an odd perfect square, the perimeter of the square will be even.

Question 8

Question 8

Revolt · Accepted Answer

114699

Logic and Reasoning Answers

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