Logic and Reasoning Answers

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

Inductive reasoning is based on

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.

Which is a counterexample for the conditional statement?If a square has side length s, then the perimeter is less than the area.

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.

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.

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.

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.

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.

Which conclusion can be drawn based on the true statements shown?If a line segment is a diameter, then it is the longest chord in a circle.Line segment AB is a diameter.