Question

multiple answer 2 points
choose the two statements that form the biconditional statement.
a triangle is isosceles if and only if it has two congruent sides.
if a triangle is isosceles, then it has two congruent sides.
if a triangle is scalene, then it has no congruent sides.
if a triangle has three congruent sides, then it is equilateral.
if a triangle does not have two congruent sides, then it is not isosceles.
if a triangle is not isosceles, then it does not have two congruent sides.
if a triangle has two congruent sides, then it is isosceles.

Explanation:

A biconditional statement "A if and only if B" is equivalent to "If A then B" and "If B then A". Here, A is "a triangle is isosceles" and B is "it has two congruent sides". So we need the statements that represent these two conditional - statements.

Answer:

1. If a triangle is isosceles, then it has two congruent sides.
2. If a triangle has two congruent sides, then it is isosceles.