How many lines of symmetry does a regular hexagon have?
1. 0
2. 1
3. 2
4. 3
5. 6
To determine the number of lines of symmetry of a regular hexagon, you need to understand what a regular hexagon is and then examine its properties.
A regular hexagon is a polygon with six equal sides and six equal angles. It is a symmetrical shape, which means all its sides and angles are congruent. In this case, a line of symmetry is a line that divides the hexagon into two parts, where one part can be reflected onto the other part by flipping it across the line.
To find the lines of symmetry, you can apply a visual approach. Take a regular hexagon and draw lines that meet the conditions mentioned above. For each line, determine if both halves of the hexagon match.
By drawing lines connecting opposite vertices or midpoints of opposite sides, you will find that there are six lines of symmetry in a regular hexagon. These lines vary in orientation and position, dividing the hexagon into twelve congruent pieces.
Therefore, the correct answer is 5.