Logic and Reasoning Answers

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.

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.

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.

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 .

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

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.

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.

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.The hypothesis of the statement is "it has congruent sides and congruent angles."The conclusion of the statement is "Polygon RSTUV is regular."An equivalent statement is "If polygon RSTUV has congruent sides, then it has congruent angles."The statement cannot be proven true or false.It is a conditional statement.

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.