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Angle Construction

Angle Construction
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2017-11-04 00:22
AngleCoordinate GeometryGeometric Construction
This example demonstrates how to construct angles using GeoGebra. Key mathematical concepts include geometric construction and angles. Using commands such as Ray, Circle, Intersect, and Line, various angles can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Ray(A, B) → f
  2. Ray(A, C) → g
  3. Circle(A, Segment[B, A]) → c
  4. Intersect(c, g, 1) → D
  5. Circle(D, Segment[D, B]) → d
  6. Circle(B, Segment[B, D]) → e
  7. Intersect(d, e, 1) → E
  8. Line(E, A) → h
  9. Intersect(d, e, 2) → F

AI Drawing Prompt Reference

Start from a common vertex, draw two rays forming an angle. Using the vertex as center and the distance from a point on one ray to the vertex as radius, draw a circle that intersects the other ray at a new point. Then, with this new point and the original point on the first ray as centers, draw two circles with radii equal to the distance between them. These two circles intersect at two points. Draw a line from the vertex to one of these intersection points, which bisects the angle. The other intersection point remains as an auxiliary point.
The prompt above was compiled from the original drawing commands and is for reference only.