MathPlotAI Logo MathPlotAI

Inscribed Polygons in a Semicircle

Inscribed Polygons in a Semicircle
Loading the math board and drawing, please wait…
2015-01-18 06:26
CirclePolygonAngle
In collections MATHEMATICS and Geometry 9 : 8.3 Iscribed Polygons
This example demonstrates the properties of inscribed polygons, particularly the semicircle theorem. Key mathematical concepts include circles, polygons, and angles. Using GeoGebra commands such as Intersect, Circle, Segment, Angle, and Polygon, a specific inscribed polygon example is constructed. Suitable for junior high school geometry learners.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, 10) → circle
  3. Intersect(circle, xAxis, 1) → A
  4. Intersect(circle, xAxis, 2) → B
  5. Intersect(circle, yAxis, 1) → C
  6. Segment(A, C) → a
  7. Segment(C, B) → b
  8. Segment(B, A) → c
  9. Angle(B, A, C) → α
  10. Polygon(A, C, B) → polígono1, b_1, a_1, c_1
  11. Angle(C, B, A) → β
  12. Angle(A, C, B) → γ
  13. Angle(B, A, C) → δ
  14. Angle(C, B, A) → ε