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Which of the following statements is false regarding polygons?

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Question: Which of the following statements is false regarding polygons?

Options:

  1. A polygon can be both concave and convex.
  2. All quadrilaterals are polygons.
  3. A polygon can have curved sides.
  4. The number of diagonals in a polygon increases with the number of sides.

Correct Answer: A polygon can have curved sides.

Solution:

Polygons are defined as shapes with straight sides, so a polygon cannot have curved sides.

Which of the following statements is false regarding polygons?

Practice Questions

Q1
Which of the following statements is false regarding polygons?
  1. A polygon can be both concave and convex.
  2. All quadrilaterals are polygons.
  3. A polygon can have curved sides.
  4. The number of diagonals in a polygon increases with the number of sides.

Questions & Step-by-Step Solutions

Which of the following statements is false regarding polygons?
  • Step 1: Understand what a polygon is. A polygon is a shape that has straight sides.
  • Step 2: Identify the characteristics of polygons. They must have at least three sides and cannot have any curved sides.
  • Step 3: Review the statements given in the question to see if any contradict the definition of a polygon.
  • Step 4: Determine which statement is false by checking if it mentions curved sides or any other characteristic that does not fit the definition of a polygon.
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