Logic and Reasoning Answers

Inductive reasoning is based on

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.

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 line segment is a diameter, then it is the longest chord in a circle.Line segment AB is a diameter.

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 shown?If three distinct points lie in a plane, then the points can form a triangle.

Inductive reasoning is based on

Which statement can be concluded using the true statements shown?If two angles in a triangle measure and x degrees, then the third angle measures (90 − x) degrees.In triangle ABC, angle A measures 90 degrees and angle B measures .

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.