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Sum of Interior Angles of a Pentagon by Terry Lee Lindenmuth

Sum of Interior Angles of a Pentagon by Terry Lee Lindenmuth
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2012-12-25 08:23
PolygonAngleGeometric Construction
In collections Geom. & Alg. Quadrilateral & Polygons Geometry Angle Investigations
This example demonstrates the calculation of the sum of interior angles of a pentagon. Key mathematical concepts include the formula for the sum of interior angles of a polygon. Using GeoGebra commands Polygon and Angle, the construction of a pentagon and measurement of its interior angles are illustrated. Suitable for middle school and above students to learn about the sum of interior angles of a pentagon.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Angle(D, C, B) → α
  3. Angle(C, B, A) → β
  4. Angle(B, A, E) → γ
  5. Angle(A, E, D) → δ
  6. Angle(E, D, C) → ε

AI Drawing Prompt Reference

Draw a pentagon and measure its five interior angles in sequence: from point D to C to B, from C to B to A, from B to A to E, from A to E to D, and from E to D to C.
The prompt above was compiled from the original drawing commands and is for reference only.