Question

is the following biconditional true? a triangle is isosceles if and only if it has two congruent sides. yes no submit

Explanation:

A biconditional statement "p if and only if q" is true when both "if p then q" and "if q then p" are true. For the statement about isosceles triangles:

• If a triangle is isosceles (p), by definition, it has at least two congruent sides (q), so "if p then q" is true.
• If a triangle has two congruent sides (q), then it meets the definition of an isosceles triangle (p), so "if q then p" is true.

Since both implications hold, the biconditional is true.

Answer:

yes