Logic and Reasoning Answers

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.

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

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.

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 .

Branden and Janna are analyzing the same conditional statement. Branden finds multiple examples that validate the conditional statement. Janna finds one example that satisfies the hypothesis of the conditional statement, but not the conclusion. Which must be true?

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.

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.

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.

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.

Inductive reasoning is based on

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.

Madeline is asked to analyze the true statements shown.If two lines meet at a 90 angle, they are perpendicular.If two lines are perpendicular, they have opposite reciprocal slopes.

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

Holly wrote the statement Polygon RSTUV is regular if it has congruent sides and congruent angles.Which statements are true regarding her work? Select three options.