Using the image below, how many lines of symmetry would the shape have? (Hint: The image is a regular pentagon.)

1. Break Down the Problem

To determine the number of lines of symmetry in a regular pentagon, we need to understand the properties of regular polygons.

2. Relevant Concepts

A regular polygon has as many lines of symmetry as it has sides. For a regular pentagon:

• It has 5 sides.
• The lines of symmetry will either pass through a vertex and the midpoint of the opposite side or through the midpoints of opposite sides.

3. Analysis and Detail

1. For each vertex of the pentagon, there is a corresponding line of symmetry that passes through that vertex and the midpoint of the opposite side.
2. In addition, since a pentagon has five vertices, there will be five such lines of symmetry.

4. Verify and Summarize

In a regular pentagon, each vertex acts as a point of symmetry, ensuring that all sides and angles are congruent, and thus reinforcing that the pentagon has its corresponding lines of symmetry.

Final Answer

A regular pentagon has 5 lines of symmetry.