yhteneväisten

Yhteneväisten is a Finnish term that translates to "congruent" or "identical" in English, depending on the context. In mathematics, it is most commonly used to describe geometric figures that have the same size and shape. For example, two triangles are yhteneväiset if all their corresponding sides and angles are equal. This means that one triangle can be perfectly superimposed onto the other through a series of rigid transformations such as translation, rotation, and reflection.

The concept of yhteneväiset extends beyond just triangles to other polygons and even three-dimensional shapes. When discussing lines, yhteneväiset lines are lines that lie on top of each other, meaning they are the same line. In set theory, two sets are considered yhteneväiset if they contain precisely the same elements. The order of elements in a set does not matter for determining yhteneväisyys, only the presence of each element.

In a more general sense, yhteneväiset can be used to describe anything that is precisely the same or in perfect agreement. This could apply to ideas, opinions, or even physical objects that are indistinguishable from one another. The core idea conveyed by the term is a complete lack of difference or variation between the items being compared.