Polygons in Geometry
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Questions and Answers

Which of the following is a key characteristic of polygons?

  • They have three dimensions
  • They must be closed shapes (correct)
  • Their sides are not connected
  • They have no vertices
  • What distinguishes regular polygons from irregular polygons?

  • Regular polygons have unequal angles
  • Irregular polygons have three sides
  • Regular polygons have equal angles (correct)
  • Irregular polygons have equal angles
  • Which of the following is NOT an example of a polygon?

  • Square
  • Star
  • Pentagon
  • Circle (correct)
  • How many sides does a hexagon have?

    <p>6</p> Signup and view all the answers

    What property is essential for a shape to be classified as a polygon?

    <p>Having vertices and angles</p> Signup and view all the answers

    Study Notes

    • Polygons are multi-sided shapes with sides, vertices, and angles, and they are 2-dimensional or flat shapes.
    • For a shape to be considered a polygon, it must be closed, meaning that the sides are connected with no gaps.
    • Examples of polygons include squares, stars, and pentagons, while shapes like circles and 3D objects are not polygons.
    • Special names are given to polygons based on the number of sides they have: triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and octagons (8 sides).
    • Regular polygons have equal angles, while irregular polygons have unequal angles.
    • Understanding polygons and their properties is essential in geometry, and they play a crucial role in various mathematical concepts.
    • By identifying the characteristics of polygons, individuals can distinguish between polygons and non-polygons in different shapes and figures.

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    Description

    Discover the properties and classifications of polygons, multi-sided 2D shapes with sides, vertices, and angles. Learn about closed shapes, types of polygons based on the number of sides, and the distinction between regular and irregular polygons.

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