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

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

Options:

Correct Answer: All sides are equal, and all angles are equal.

Solution:

In a regular hexagon, all sides are equal in length and all interior angles are equal.

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

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.

Regular Hexagon Properties – In a regular hexagon, all sides are of equal length and all interior angles measure 120 degrees.