Polygon - Geometry - Math Dictionary

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Plane figure Figure Line segment Line Side

Untitled Document

Polygon
Definition of Polygon

A polygon is a closed plane figure made up of 3 or more line segments.

More about Polygon

Polygons have special names depending on the number of lines forming their boundary.
For example, a polygon with three sides is called a triangle.
A polygon with four sides is called a quadrilateral.
A polygon with five sides is called a pentagon.
Polygons that have all sides measure the same are called regular polygons.

Examples of Polygon

The figure shows a few polygons.

Solved Example on Polygon

Identify the set hat shows the polygons arranged in the decreasing order of number of sides.
Choices:
A. Octagon, hexagon, pentagon, and quadrilateral
B. Pentagon, hexagon, octagon, and quadrilateral
C. Quadrilateral, pentagon, hexagon, and octagon
D. Hexagon, pentagon, quadrilateral, and octagon
Correct Answer: A
Solution:
Step 1: The number of sides of quadrilateral, hexagon, pentagon, and octagon are 4, 6, 5 and 8 respectively.
Step 2: Decreasing order means arranging from the greatest to the least.
Step 3: The decreasing order of the polygons with respect to the number of sides is octagon (8), hexagon (6), pentagon (5), and quadrilateral (4).

Related Terms for Polygon

Plane Figure
Line Segment

Additional Links for Polygon

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Browse for solved examples below on this Math Dictionary term:

SC BM Curriculum > Benchmark - Algebra II > Geometry > III.A.1: Describe the transformation used to move a polygon from one location to another in the first quadrant.

SC BM Curriculum > Grade 6 > Geometry > III.A.1: Describe the transformation used to move a polygon from one location to another in the first quadrant.

SC BM Curriculum > Benchmark - Algebra II > Geometry > III.B.1: Apply a transformation to a polygon and describe how it has changed.

SC BM Curriculum > Grade 6 > Geometry > III.B.1: Apply a transformation to a polygon and describe how it has changed.

SC BM Curriculum > Grade 7 > Geometry > I.A.1: Classify polygons as regular or nonregular and investigate relationships between the number of diagonals and the number of sides of a regular polygon.

SC BM Curriculum > Grade 7 > Geometry > III.A.1: Describe the transformation used to move a polygon in one quadrant to another quadrant in the coordinate plane.

SC BM Curriculum > Grade 8 > Geometry > II.A.1: Given the coordinates of a vertex and the length of adjacent sides of a polygon, use the rectangular coordinate system to locate other vertices of a square, rectangle, or right triangle.

GA BM Curriculum > Grade 8 > Geometry & Spatial Sense; Measurement > 20: Symbol, Point, Line, Line Segment, Ray, Polygon, Vertex, Angle, Diagonal: Identifies physical and symbolic representations using appropriate labeling of geometric figures, such as points, lines, line segments, rays, polygons, vertices, angles, and dia

GA GPS BM curriculum > Grade 8 > Geometry & Spatial Sense; Measurement > 20: Symbol, Point, Line, Line Segment, Ray, Polygon, Vertex, Angle, Diagonal: Identifies physical and symbolic representations using appropriate labeling of geometric figures, such as points, lines, line segments, rays, polygons, vertices, angles, and diagonals.

PA BM Curriculum > Benchmark - Algebra II > Geometry > 6C.1.1.3: Identify a polygon and/or whether it is regular (measurements or tic and angle marks must be provided - polygons triangle through decagon)

PA BM Curriculum > Grade 6 > Geometry > 6C.1.1.3: Identify a polygon and/or whether it is regular (measurements or tic and angle marks must be provided - polygons triangle through decagon)

PA BM Curriculum > Grade 8 > Geometry > M8.C.3.1.1: Plot, locate, or identify ordered pairs on a coordinate plane (the point may be a vertex of a polygon).

PA BM Curriculum > Grade 5 > Measurement > M5.B.1.3.1: Estimate which polygon (shown) has a greater perimeter or area (do not mix perimeter with area).

PA BM Curriculum > Benchmark - Algebra II > Measurement > 6B.2.2.1: Find the perimeter of any polygon (include regular polygons where only the measure of one side is given – same units of measurement)

PA BM Curriculum > Grade 6 > Measurement > 6B.2.2.1: Find the perimeter of any polygon (include regular polygons where only the measure of one side is given – same units of measurement)

CBSE Curriculum > > Geometrical Constructions > Construction of a Triangle Equal in Area to a Polygon (e.g. Quadrilateral, Pentagon etc.,)

CBSE Curriculum > > Statistics > Bar Chart, Histogram, Frequency Polygon and Real Life graphs

California Assessment Curriculum - 2006 > Grade > Geometry & Measurements > 3MG1.3-Find the perimeter of a polygon with integer sides.

California Assessment Curriculum - 2006 > Grade 3 > Geometry & Measurements > 3MG1.3-Find the perimeter of a polygon with integer sides.

CBSE - 9 Curriculum > > Statistics > Bar Chart, Histogram, Frequency Polygon and Real Life graphs

Michigan Assessment Curriculum - 2006 > Benchmark - Algebra II > Interpreting Geometry > G.GS.06.01-Understand and apply basic properties of lines, angles, and triangles, including: • triangle inequality • relationships of vertical angles, complementary angles, supplementary angles • congruence of corresponding and alternate interior angles when parallel lines are cut by a transversal, and that such congruencies imply parallel lines • locate interior and exterior angles of any triangle, and use the property that an exterior angle of a triangle is equal to the sum of the remote (opposite) interior angles • know that the sum of the exterior angles of a convex polygon is 360°.

Michigan Assessment Curriculum - 2006 > Grade 6 > Interpreting Geometry > G.GS.06.01-Understand and apply basic properties of lines, angles, and triangles, including: • triangle inequality • relationships of vertical angles, complementary angles, supplementary angles • congruence of corresponding and alternate interior angles when parallel lines are cut by a transversal, and that such congruencies imply parallel lines • locate interior and exterior angles of any triangle, and use the property that an exterior angle of a triangle is equal to the sum of the remote (opposite) interior angles • know that the sum of the exterior angles of a convex polygon is 360°.

Missouri Assessment Curriculum - 2006 > Grade 4 > Exploring Measurement > M.2.C.4.ai-Determine the area of a polygon on a rectangular grid.

Missouri Assessment Curriculum - 2006 > Grade 4 > Geometry > G.3.A.4.ai-Predict the results of sliding/ translating, flipping/ reflecting or turning/ rotating around the center point of a polygon.

Missouri Assessment Curriculum - 2006 > Grade 5 > Geometry > G.3.A.5.ai-Predict, draw and describe the results of sliding/ translating, flipping/ reflecting and turning/ rotating around a center point of a polygon.

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