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Theorems on Inscribed Polygons by kherdegen

Theorems on Inscribed Polygons by kherdegen
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2017-02-08 04:34
CirclePolygonGeometric Construction
This example demonstrates geometric properties and theorems related to inscribed polygons within a circle. Key concepts include circles, polygons, central angles, regular polygon construction, and geometric constructions. It is constructed using GeoGebra commands like Circle, Point, Segment, OrthogonalLine, Intersect, Angle, and Polygon. Suitable for high school and above mathematics learning, helping to understand the geometric relationships between circles and polygons and verifying theorems.

GeoGebra Commands & Parameters

  1. Circle(A, B_1) → c
  2. Point(c) → C
  3. Point(c) → D
  4. Segment(C, D) → f
  5. OrthogonalLine(C, f) → g
  6. Intersect(c, g, 2) → E
  7. Segment(D, E) → h
  8. Segment(E, C) → i
  9. Angle(E, C, D) → α
  10. Polygon(E, D, C) → poly1, c_1, e, d
  11. Circle(B, G) → k
  12. Point(k) → H
  13. Point(k) → I
  14. Segment(H, I) → j
  15. Point(k) → J
  16. Segment(J, I) → l
  17. Segment(J, H) → m
  18. Polygon(H, J, I) → poly2, i_1, h_1, j_1
  19. Angle(J, I, H) → β