yhtäpitäviä

Yhtäpitäviä is a Finnish word that translates to "identical," "identical," "congruent," or "corresponding" in English, depending on the context. It is primarily used in mathematical and geometric contexts to describe objects or quantities that are exactly the same in all respects.

In geometry, yhtäpitäviä figures are those that can be superimposed on each other perfectly. This means they have the same shape and the same size. For example, two squares with sides of equal length are yhtäpitäviä. Two triangles are yhtäpitäviä if their corresponding sides and angles are equal. This concept is fundamental in proving geometric theorems and solving problems involving shapes.

In mathematics, yhtäpitäviä can also refer to quantities or expressions that yield the same result. For instance, two mathematical expressions are considered yhtäpitäviä if they evaluate to the same numerical value. This is often seen in algebra when simplifying equations or verifying identities.

The word yhtäpitäviä is derived from the Finnish word "yhtä," meaning "one" or "equal," and "pitää," meaning "to hold" or "to keep." Thus, it literally suggests something that is held as one or equal. Its usage emphasizes the absolute sameness between the entities being described.