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Which of the following polygons is not a convex polygon?

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Question: Which of the following polygons is not a convex polygon?

Options:

  1. A square
  2. A rectangle
  3. A concave hexagon
  4. An equilateral triangle

Correct Answer: A concave hexagon

Solution:

A concave hexagon has at least one interior angle greater than 180 degrees, making it a non-convex polygon.

Which of the following polygons is not a convex polygon?

Practice Questions

Q1
Which of the following polygons is not a convex polygon?
  1. A square
  2. A rectangle
  3. A concave hexagon
  4. An equilateral triangle

Questions & Step-by-Step Solutions

Which of the following polygons is not a convex 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 convex polygons. A convex polygon has all its interior angles less than 180 degrees, and all its vertices point outward.
  • Step 3: Learn about concave polygons. A concave polygon has at least one interior angle greater than 180 degrees, which means it 'caves in' at that angle.
  • Step 4: Identify the polygons given in the question. Look for one that has an interior angle greater than 180 degrees.
  • Step 5: Conclude that the polygon with an interior angle greater than 180 degrees is the non-convex polygon.
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