In geometry, which shape is defined as having no sides equal and no angles equal?

The shape that is defined as having no sides equal and no angles equal is indeed a scalene triangle. A scalene triangle is characterized by the property that all three sides are of different lengths and all three angles are of different measures. This differentiation in side lengths and angles means that the scalene triangle does not have any symmetry or congruence among its components.

In contrast, an isosceles triangle has at least two sides that are equal in length, which also means it will have at least two angles that are equal. A right triangle specifically contains a 90-degree angle and may or may not have equal sides. Lastly, an equilateral triangle has all three sides equal and all angles equal, which is the opposite of the characteristics of a scalene triangle. Therefore, the unique definition of a scalene triangle clearly distinguishes it from the other types of triangles listed.