Classifying polygons

Classifying polygons

Lessons

In this lesson, we will learn:

  • How to name polygons: triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons
  • How to classify regular vs. irregular polygons
  • How to read markings on polygons: hashmarks for congruent sides, semicircles for congruent angles, arrows for parallel sides, and squares (right angles) for perpendicular sides

Notes:

  • Polygons are 2D shapes with straight sides only. All polygons have sides (straight lines/edges) and vertices (corners/points where sides meet).

  • Polygons are named by the number of sides they have:
Classifying Polygons

  • Polygons can be regular or irregular. Regular polygons have congruent sides and angles; all sides and all angles are equal. Irregular polygons do not have same size sides and angles.
Classifying Polygons

  • Congruent sides can be shown with hashmarks (matching lines on the sides that are equal)
  • Congruent angles can be shown with either semicircles with hashmarks, or with concentric circles
Classifying Polygons
  • Introduction
    Introduction to Classifying Polygons:
    a)
    What are polygons?

    b)
    Names of different polygons based on number of sides (triangles to octagons)

    c)
    Regular or irregular polygons: markings for congruent sides and angles

    d)
    Understanding markings for parallel and perpendicular sides in polygons


  • 1.
    Sides and vertices in polygons
    Count the number of sides and vertices in the polygon. Circle the vertices and check mark the sides to help keep track.
    a)
    Classifying Polygons

    b)
    Classifying Polygons

    c)
    Classifying Polygons


  • 2.
    Classifying polygons by name and regularity
    Look at the picture of the shape and write:
    • the name of the polygon
    • and if it is regular or irregular
    a)
    Classifying Polygons

    b)
    Classifying Polygons

    c)
    Classifying Polygons

    d)
    Classifying Polygons

    e)
    Classifying Polygons


  • 3.
    Congruent sides and angles in polygons
    Draw markings for any pairs of equal sides and/or angles
    a)
    Classifying Polygons

    b)
    Classifying Polygons

    c)
    Classifying Polygons


  • 4.
    Parallel sides in polygons
    Mark the parallel sides with matching arrows on each pair. How many pairs of sides are parallel?
    a)
    Classifying Polygons

    b)
    Classifying Polygons

    c)
    Classifying Polygons