The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.
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Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.
A triangle that has one right angle and is isosceles is called an isosceles right triangle.
Isosceles
An isosceles triangle can have a 90 degree angle, but doesn't necessarily. Similarly, a right triangle can be an isosceles triangle, but isn't necessarily.