Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

multiple choice 1 point conditional: if a triangle is scalene, then the…

Question

multiple choice 1 point conditional: if a triangle is scalene, then the triangle has no congruent sides. which statement shows the conditional written as a true biconditional? a triangle is equilateral if and only if it is not scalene. a triangle is scalene if and only if it has no congruent sides. if a triangle has no congruent sides, then the triangle is scalene. if a triangle has some congruent sides, then the triangle is not scalene.

Explanation:

Brief Explanations

A biconditional statement is of the form "p if and only if q", meaning both "if p then q" and "if q then p" are true. A scalene triangle is defined as a triangle with no congruent sides. So the statement "A triangle is scalene if and only if it has no congruent sides" is a correct biconditional as it accurately represents the definition in both directions.

Answer:

A. A triangle is scalene if and only if it has no congruent sides.