Plane Geometry

plane geometry banner 2Plane geometry is a two dimensional figure, also called planar geometry, with edges.  The edges are line segments or edges and curve segments or arcs, all lying on a flat plane.

 

 

 

 

 

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Nomenclature & Symbols

Plane Geometry Types

  • Polygon  -  A closed plane figure for which all edges are line segments and not necessarly congruent.
    • Concave Polygon  -  A polygon where one or more angles are greater than 180° and some vertices point inward.
    • Convex Polygon  -  A a polygon where all interior angles are less than 180° and all vertices point outward.
    • Irregular Polygon  -  A polygon where all edge and angles are not the same.  It can be concave or convex.
    • Regular Polygon  -  A polygon where all edges are congruent and all angles are congruent.
    • Self-intersecting Polygon  -  A polygon where one or more edges cross over another.
      • Triangle  -  A polygon with 3 edges.
      • Quadrilateral  -  A polygon with 4 edge.
        • Acute Trapezoid  -  A trapezoid has two adjacent acute angles on its longer base edge.
        • Isosceles Trapezoid  -  A trapezoid with only one pair of parallel edges and having base angles that are the same.
        • Kite  -  A quadrilateral with two pairs of adjacent edges that are congruent.
        • Obtuse Trapezoid  -  A trapezoid with one acute and one obtuce angle on each base.
        • Parallelogram  -  A quadrilateral with two pairs of parallel opposite edges.
        • Rectangle  -  A quadrilateral with two pair of parallel edges.
        • Rhombus  -  A parallelogram with four congruent edges.
        • Right Trapezoid  -  A trapezoid with only one pair of parallel edges and two adjacent right angles.
        • Rounded Corner Rectangle  -  A quadrilateral with two pair of parallel edges and rounded corners.
        • Self-intersecting Rectangle  -  One edge crosses over another.
        • Square  -  A quadrilateral with four equal edge lengths and 90° interior angles.
        • Trapezoid  -  A quadrilateral that has a pair of parallel opposite edges.
        • Tri-equilateral Trapezoid  -  A trapezoid with only one pair of parallel edges and having base angles that are the same with three congruent edges.
      • Pentagon  -  A polygon with 5 edges.
      • Hexagon  -  A polygon with 6 edges.
      • Heptagon  -  A polygon with 7 edges.
      • Octagon  -  A polygon with 8 edges.
      • Nonagon  -  A polygon with 9 edges.
      • Decagon  -  A polygon with 10 edges.
      • Hendecagon  -  A polygon with 11 edges.
      • Dodecagon  -  A polygon with 12 edges.
      • Triskaidecagon  -  A polygon with 13 edges.
      • Tetrakaidecagon  -  A polygon with 14 edges.
      • Pentadecagon  -  A polygon with 15 edges.
      • Hexakaidecagon  -  A polygon with 16 edges.
      • Heptadecagon  -  A polygon with 17 edges.
      • Octakaidecagon  -  A polygon with 18 edges.
      • Enneadecagon  -  A polygon with 19 edges.
      • Icosagon  -  A polygon with 20 edges.
      • Triacontagon  -  A polygon with 30 edges.
      • Tetracontagon  -  A polygon with 40 edges.
      • Pentacontagon  -  A polygon with 50 edges.
      • Hexacontagon  -  A polygon with 60 edges.
      • Heptacontagon  -  A polygon with 70 edges.
      • Octacontagon  -  A polygon with 80 edges.
      • Enneacontagon  -  A polygon with 90 edges.
      • Hectogon  -  A polygon with 100 edges.
      • Chiliagon  -  A polygon with 1,000 edges.
      • Myriagon  -  A polygon with 10,000 edges.

 

Geometric Properties of Structural Shapes

 

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Display #
Title
3 Connecting Circles
3 Overlapping Circles
4 Connecting Circles
Acute Trapezoid
Annulus of a Circle

Tags: Classifications