Can a Polygon have lines inside of the shape? Please answer sooner than later.

To determine if a polygon can have diagonals, we need to understand the properties of polygons. A polygon is a closed figure with straight sides, and it must have at least three sides.

A diagonal of a polygon is a line segment that connects two non-adjacent vertices (corners) of the polygon. In other words, it is a line segment that does not lie on the boundary of the polygon.

To check if a polygon can have diagonals, we need to examine its number of sides.

1. Triangle: A triangle has three sides, and it cannot have any diagonals since all three vertices are adjacent to each other.

2. Quadrilateral: A quadrilateral has four sides. Depending on the shape of the quadrilateral, it can have diagonals. For example, a square has four sides and four diagonals, while a rectangle has two diagonals.

3. Pentagon and higher polygons: As the number of sides increases, so does the potential number of diagonals. However, not all polygons with more than four sides have diagonals. For instance, a regular pentagon (five sides) has no diagonals, while a regular hexagon (six sides) has three diagonals.

In general, the formula to calculate the number of diagonals in a polygon is:

Number of diagonals = (n * (n-3)) /2

Where "n" is the number of sides of the polygon. This formula works for polygons with five or more sides.

Therefore, depending on the number of sides and the specific shape of the polygon, it can indeed have lines inside the shape called diagonals.