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Geometric figures can be classified by which of the following criteria?

  1. Numbers of sides and colors

  2. Numbers of sides, angles where sides meet, and whether they are polygons or solids

  3. Shapes and sizes

  4. Type of angles and area

The correct answer is: Numbers of sides, angles where sides meet, and whether they are polygons or solids

The classification of geometric figures is fundamentally based on their properties, which include the number of sides, the angles where the sides meet, and the distinction between polygons and solids. This comprehensive approach allows for a clear and systematic categorization of figures. For instance, polygons can be identified by their number of sides—triangles have three, quadrilaterals have four, and so on. Additionally, the internal angles formed at the vertices where the sides connect play a crucial role in differentiating shapes; for example, a right triangle has a 90-degree angle, while an obtuse triangle has one angle greater than 90 degrees. Moreover, recognizing whether a figure is a polygon (two-dimensional shape) or a solid (three-dimensional figure) is essential, as it forms the basis on which different types of geometric figures can be understood and categorized. This detailed classification goes beyond mere visual characteristics like color or size, making it a foundational concept in geometry.