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 (B)</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 (C)</p> Signup and view all the answers

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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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