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If a hexagon is regular, what is the relationship between its sides and angles?

Practice Questions

Q1
If a hexagon is regular, what is the relationship between its sides and angles?
  1. All sides are equal, and all angles are equal.
  2. Sides can be of different lengths, but angles are equal.
  3. Sides are equal, but angles can vary.
  4. No specific relationship exists.

Questions & Step-by-Step Solutions

If a hexagon is regular, what is the relationship between its sides and angles?
  • Step 1: Understand what a hexagon is. A hexagon is a shape with six sides.
  • Step 2: Learn what 'regular' means. A regular hexagon has all sides the same length and all angles the same size.
  • Step 3: Know that in a regular hexagon, since all sides are equal, this means each side is the same length.
  • Step 4: Understand that because all sides are equal, all interior angles must also be equal.
  • Step 5: Calculate the measure of each interior angle. For a regular hexagon, each angle is 120 degrees.
  • Step 6: Conclude that in a regular hexagon, all sides are equal and all angles are equal.
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