California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What defines a polygon?

  1. A shape with four curved sides

  2. A three-dimensional object

  3. A two-dimensional figure with line segments as sides

  4. A collection of points in three-dimensional space

The correct answer is: A two-dimensional figure with line segments as sides

A polygon is defined as a two-dimensional figure that is formed by connecting multiple line segments end to end to create a closed shape. The characteristics of a polygon include having straight sides, with each side being a line segment. The intersection of the sides must happen only at their endpoints, which creates the overall closed shape. In this case, the correct answer pointed out a clear and precise definition of a polygon. Options involving curved sides or three-dimensional objects do not fit the criteria necessary to be labeled as polygons, as these definitions include attributes not permissible in the structure of a polygon. Polygons are exclusively two-dimensional and consist solely of straight line segments, thus emphasizing their simplicity and geometric clarity.