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Angle Bisector (Problem 1)

Angle Bisector (Problem 1)
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2015-09-21 20:43
TriangleAngleGeometric Construction
In collections Points, Lines, Planes, and Angles Points, Lines, Planes, and Angles Geometry: Introductory Definitions, Postulates, Theorems CCSS High School: Algebra (Creating Equations) CCSS High School: Algebra (Creating Equations)
This example demonstrates the geometric construction and properties of an angle bisector. It involves core math concepts like angles, triangles, geometric construction, and linear equations. GeoGebra commands used include Ray, AngularBisector, Point, Circle, Intersect, CircleArc, and Textfield. Suitable for middle school and above students learning geometric constructions and the angle bisector theorem.

GeoGebra Commands & Parameters

  1. Ray(A, B) → a
  2. Ray(A, C) → b
  3. AngularBisector(a, b) → c, d
  4. Point(c) → D
  5. Circle(A, 4) → e
  6. Intersect(e, a) → F,
  7. Intersect(e, c) → G, H
  8. Intersect(e, b) → I,
  9. CircleArc(A, F, H) → f
  10. CircleArc(A, H, I) → g
  11. Textfield(h) → InputBox1
  12. Textfield(α) → InputBox2
  13. Textfield(β) → InputBox3
  14. Textfield(γ) → InputBox4

AI Drawing Prompt Reference

Draw a triangle ABC with A as the vertex and B and C as the other two vertices. Draw the angle bisector of angle BAC and mark the intersection point as D. Draw a circle with center A and radius 4, and let it intersect with line segments AB, AD, and AC at points F, G, and H respectively. Draw arcs AFH and AHI. Input the degrees of angles BAC, ABC, and ACB.
The prompt above was compiled from the original drawing commands and is for reference only.