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What is the term used for the corners of a polygon?

  1. Sides

  2. Diagonals

  3. Vertices

  4. Angles

The correct answer is: Vertices

The term used for the corners of a polygon is "vertices." Each vertex is a point where two sides of the polygon meet, creating a corner. For example, in a triangle, there are three vertices, and in a quadrilateral, there are four vertices. Understanding this concept is essential when studying the properties of polygons, as the number of vertices corresponds directly to the number of sides; thus, a polygon with n sides will have n vertices. The other terms given in the choices refer to different geometric concepts. "Sides" are the straight line segments that form the edges of the polygon, while "diagonals" are line segments that connect non-adjacent vertices. "Angles" refer to the measures formed between two sides at a vertex, representing the amount of rotation between the sides. Each of these aspects plays a different role in geometry, but "vertices" specifically identifies the corners of a polygon.