Which figures are polygons select each correct answer – Welcome to the realm of polygons, where geometric shapes reign supreme! Join us as we embark on a journey to unravel the mysteries of polygons, their diverse types, and their captivating applications in the world around us.
1. Definition of Polygon
A polygon is a two-dimensional shape with straight sides and angles. Polygons can be regular or irregular. Regular polygons have all sides and angles equal, while irregular polygons have sides and angles that are not all equal.
Polygons are named according to the number of sides they have. For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and a polygon with five sides is called a pentagon.
2. Types of Polygons
There are many different types of polygons, but the most common types are:
- Triangle: A polygon with three sides.
- Quadrilateral: A polygon with four sides.
- Pentagon: A polygon with five sides.
- Hexagon: A polygon with six sides.
- Octagon: A polygon with eight sides.
- Decagon: A polygon with ten sides.
3. Identifying Polygons: Which Figures Are Polygons Select Each Correct Answer
To identify a polygon, you need to know the following:
- The number of sides
- The length of the sides
- The size of the angles
Once you know these things, you can use the following rules to identify a polygon:
- A polygon must have at least three sides.
- The sides of a polygon must be straight.
- The angles of a polygon must add up to 360 degrees.
4. Perimeter and Area of Polygons
The perimeter of a polygon is the distance around the outside of the polygon. The area of a polygon is the amount of space inside the polygon.
The formulas for calculating the perimeter and area of polygons are as follows:
- Perimeter = sum of the lengths of all the sides
- Area = (1/2) – base – height
5. Applications of Polygons
Polygons are used in a variety of applications, including:
- Architecture
- Engineering
- Design
- Mathematics
For example, polygons are used to create the shapes of buildings, bridges, and other structures. They are also used to create the patterns in wallpaper, fabrics, and other decorative items.
Question Bank
What is the definition of a polygon?
A polygon is a closed two-dimensional figure formed by a series of straight line segments connected at their endpoints, creating a shape with three or more sides.
What are the key properties of polygons?
Polygons are characterized by their number of sides, angles, and vertices. They can be classified into various types based on these properties, such as triangles, quadrilaterals, and pentagons.
How do you identify polygons?
To identify a polygon, look for a closed figure with straight sides and no curved edges. The figure should have at least three sides and the interior angles should add up to 180 degrees for each triangle within the polygon.
