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Which of the following polygons is classified as a concave polygon?

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Question: Which of the following polygons is classified as a concave polygon?

Options:

  1. Square
  2. Regular pentagon
  3. Star-shaped polygon
  4. Equilateral triangle

Correct Answer: Star-shaped polygon

Solution:

A star-shaped polygon has at least one interior angle greater than 180 degrees, making it concave.

Which of the following polygons is classified as a concave polygon?

Practice Questions

Q1
Which of the following polygons is classified as a concave polygon?
  1. Square
  2. Regular pentagon
  3. Star-shaped polygon
  4. Equilateral triangle

Questions & Step-by-Step Solutions

Which of the following polygons is classified as a concave polygon?
  • Step 1: Understand what a polygon is. A polygon is a shape with straight sides, like a triangle or a square.
  • Step 2: Learn about concave polygons. A concave polygon is a type of polygon that has at least one angle that is greater than 180 degrees.
  • Step 3: Identify the characteristics of a star-shaped polygon. A star-shaped polygon has points that extend inward, creating angles that can be greater than 180 degrees.
  • Step 4: Conclude that since a star-shaped polygon has at least one angle greater than 180 degrees, it is classified as a concave polygon.
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