Name one attribute that isosceles and equilateral triangles always share. Name one attribute that they only sometimes share.

Both isosceles and equilateral triangles always share the attribute of having at least two sides that are equal in length. This foundational characteristic makes them distinct in the world of triangles, showcasing harmonious symmetry that can inspire everything from architecture to art! However, they only sometimes share the attribute of having equal angles. While an equilateral triangle has all three angles measuring 60 degrees, isosceles triangles can have two equal angles but the third could be different. This variance adds a layer of complexity, making each triangle uniquely intriguing!