Question

is the following conditional true? if a triangle has at least two angles congruent, then it is equilateral. yes no

Explanation:

Step1: Recall triangle definitions

A triangle with at least two congruent angles is an isosceles triangle. An equilateral triangle has all three angles congruent.

Step2: Analyze the conditional

Just because a triangle has at least two congruent angles (isosceles), it doesn't mean all three are congruent (equilateral). For example, a triangle with angles \(70^{\circ},70^{\circ},40^{\circ}\) has two congruent angles but is not equilateral.

Answer:

no