Logic and Reasoning

Question 1

If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion?When a number is divisible by 9, the number is divisible by 3.

Revolt · Accepted Answer

Then the number is divisible by 3

Question 2

If the statement is rewritten as a conditional statement in if-then form, which best describes the conclusion?A student who earns 85% earns a B.

Revolt · Accepted Answer

Then a student earns a B

Question 3

Which is a counterexample for the conditional statement shown?If three distinct points lie in a plane, then the points can form a triangle.

Revolt · Accepted Answer

The points form a line.

Question 4

Which conclusion can be drawn based on the true statements shown?If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.

Revolt · Accepted Answer

Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.

Question 5

How can the statement be rewritten as a conditional statement in if-then form?The sum of the digits of a two-digit number is less than the value of the original two-digit number.

Revolt · Accepted Answer

If a number has two digits, then the sum of its digits is less than the value of the original two-digit number.

Question 6

Which is a counterexample for the conditional statement shown?If two distinct points are graphed on a coordinate plane, then the line connecting the points can be represented with a function.

Revolt · Accepted Answer

The points have the same x-coordinate value.

Question 7

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."Which statements are true regarding his work? Select three options.The hypothesis of the statement is "the sum of the digits in a number is divisible by 3."An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."The statement is not a conditional statement because it does not include both an "if" and a "then" clause.The statement can be proven true or false.The conclusion of the statement is written before the hypothesis.

Revolt · Accepted Answer

The hypothesis of the statement is "the sum of the digits in a number is divisible by 3."; An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."; The statement can be proven true or false.

Question 8

Which is a counterexample for the conditional statement?If two positive numbers are multiplied together, then the product will be greater than both of the two positive numbers.

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/evresources/4b3d55684d52bbb7373514e4fbe10a8e.png

Question 9

How can the statement be rewritten as a conditional statement in if-then form?A rectangle with 4 congruent sides is a square.

Revolt · Accepted Answer

If a rectangle has 4 congruent sides, then it is a square.

Question 10

Mr. Thomas wrote these true statements.If a figure is a triangle, the sum of the figure's interior angles is 180.Figure ABC is a triangle.

Revolt · Accepted Answer

Using the law of detachment, the sum of the interior angles of ABC is 180.

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