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Geometric Construction

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A geometric construction is a construction of a geometric figure using only straightedge and compass, as originally studied by the ancient Greeks.

Geometric construction is an elementary-school-level concept. It is listed in the California State Standards for Grade 5.

Prerequisites

Circle: A circle is the set of points in a plane that are equidistant from a given center point.
Geometry: Geometry is the branch of mathematics that studies figures, objects, and their relationships to each other. This contrasts with algebra, which studies numerical quantities and attempts to solve equations.
Line: A line is the infinite extension in both directions of a line segment, giving the path of shortest distance between two points in Euclidean space.

Classroom Articles on Plane Geometry

  • Acute Angle
  • Midpoint
  • Altitude
  • Obtuse Angle
  • Angle
  • Parallel
  • Area
  • Perimeter
  • Circumference
  • Perpendicular
  • Collinear
  • Pi
  • Complementary Angles
  • Plane Geometry
  • Diameter
  • Point
  • Golden Ratio
  • Radius
  • Golden Rectangle
  • Supplementary Angles
  • Hypotenuse
  • Triangle Inequality

  • Classroom Articles on Geometry (Up to Elementary-School Level)

  • Cone
  • Pentagon
  • Cube
  • Polygon
  • Cylinder
  • Prism
  • Decagon
  • Pyramid
  • Dodecagon
  • Quadrilateral
  • Equilateral Triangle
  • Rectangle
  • Hendecagon
  • Regular Polygon
  • Heptagon
  • Right Triangle
  • Hexagon
  • Sphere
  • Isosceles Triangle
  • Square
  • Nonagon
  • Surface Area
  • Octagon
  • Triangle
  • Parallelogram
  • Volume