What shape is formed by three or more lines that are connected to enclose an area?

What shape is formed by three or more lines that are connected to enclose an area?

• A. Circle
• B. Polygon
• C. Triangle
• D. Ellipse

Answer: (B)

The formation of three or more lines that connect to enclose an area defines a polygon. A polygon is a two-dimensional geometric figure that consists of a finite number of straight line segments connected to form a closed chain or circuit. Each line segment is a side of the polygon, and the points where they connect are the vertices. Polygons can vary in the number of sides they have; a shape with three sides is specifically a triangle, which is a type of polygon but doesn't encompass all the possibilities since polygons can have many sides (like quadrilaterals, pentagons, etc.). Thus, while a triangle fits the criteria of having three sides, it is just a specific instance of a polygon. Other shapes, such as circles and ellipses, do not consist of straight line segments. Instead, they are defined by curves. Therefore, identifying the shape formed by three or more connected lines that enclose an area directly points to the broader category of polygons.

The formation of three or more lines that connect to enclose an area defines a polygon. A polygon is a two-dimensional geometric figure that consists of a finite number of straight line segments connected to form a closed chain or circuit. Each line segment is a side of the polygon, and the points where they connect are the vertices.

Polygons can vary in the number of sides they have; a shape with three sides is specifically a triangle, which is a type of polygon but doesn't encompass all the possibilities since polygons can have many sides (like quadrilaterals, pentagons, etc.). Thus, while a triangle fits the criteria of having three sides, it is just a specific instance of a polygon.

Other shapes, such as circles and ellipses, do not consist of straight line segments. Instead, they are defined by curves. Therefore, identifying the shape formed by three or more connected lines that enclose an area directly points to the broader category of polygons.