Conditional: If a triangle is scalene, then the triangle has no congruent sides. Which statement shows the conditional written as a true biconditional? (1 point) Responses A triangle is scalene if and only if it has no congruent sides. 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 no congruent sides, then the triangle is scalene. If a triangle has some congruent sides, then the triangle is not scalene. If a triangle has some congruent sides, then the triangle is not scalene. 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.
The true biconditional statement is: "A triangle is scalene if and only if it has no congruent sides."
The true biconditional statement is: "A triangle is scalene if and only if it has no congruent sides."
To determine this, we need to understand the components of a conditional statement and how to rewrite it as a biconditional statement.
A conditional statement has an "if-then" structure. In this case, the conditional statement is: "If a triangle is scalene, then the triangle has no congruent sides."
To rewrite the conditional statement as a biconditional, we need to express both the "if" and "then" parts in both directions. This means we need to add "if and only if" to the statement.
Option 1: "A triangle is scalene if and only if it has no congruent sides." This option correctly represents the conditional statement in a true biconditional form.
Therefore, the correct answer is option 1.