Golden Ratio

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Generally represented as φ. Given a rectangle having sides in the ratio 1:φ, partitioning the original rectangle into a square and new rectangle results in the new rectangle having sides with the ratio 1:φ. φ is approximately equal to 1.618.

Golden ratio is a middle school-level concept.

Prerequisites

Geometry: 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.
Rectangle: A quadrilateral with opposite sides of equal lengths, and with four right angles.
Square Root: A square root of x is a number r such that r*r = x.

Classroom Articles on Plane Geometry

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

  • Classroom Articles on Geometry (Up to Middle School Level)

  • Cone
  • Pyramid
  • Congruent
  • Quadrilateral
  • Cube
  • Regular Polygon
  • Cylinder
  • Right Triangle
  • Dodecahedron
  • Sphere
  • Equilateral Triangle
  • Square
  • Icosahedron
  • Surface
  • Isosceles Triangle
  • Surface Area
  • Octahedron
  • Tetrahedron
  • Parallelogram
  • Trapezoid
  • Polygon
  • Triangle
  • Prism
  • Volume