Display Title
Definition--Polygon Concepts--Pentagon
Display Title
Definition--Polygon Concepts--Pentagon
Topic
Polygons
Definition
A pentagon is a polygon with five sides and five angles.
Description
The pentagon is a fundamental shape in geometry, belonging to the family of polygons. As a five-sided figure, it plays a significant role in both theoretical mathematics and practical applications. Pentagons can be regular, where all sides and angles are equal, or irregular, with varying side lengths and angle measures. In a regular pentagon, each interior angle measures 108 degrees, contributing to a total of 540 degrees for all interior angles.
Pentagons are frequently encountered in nature, architecture, and design. The star-shaped variety, known as a pentagram, has historical and cultural significance in various societies. In mathematics, pentagons are studied for their unique properties, including their relationship to the golden ratio and their role in tessellations. Understanding pentagons is crucial for students progressing through geometry, as it builds upon concepts of triangles and quadrilaterals while introducing more complex polygon properties.
For a complete collection of terms related to polygons click on this link: Polygons Collection.
| Common Core Standards | CCSS.MATH.CONTENT.5.G.B.3, CCSS.MATH.CONTENT.5.G.B.4, CCSS.MATH.CONTENT.3.G.A.1, CCSS.MATH.CONTENT.3.MD.D.8, CCSS.MATH.CONTENT.6.G.A.1, CCSS.MATH.CONTENT.6.G.A.3, CCSS.MATH.CONTENT.HSG.CO.A.3 |
|---|---|
| Grade Range | 3 - 8 |
| Curriculum Nodes |
Geometry • Polygons • Definition of a Polygon |
| Copyright Year | 2013 |
| Keywords | polygon, definitions, glossary term |
