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SAS Triangle Exploration by Brian Slocum

SAS Triangle Exploration by Brian Slocum
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2018-09-18 03:04
TriangleGeometric ConstructionSlider Animation
In collections Triangle Congruence
This example allows students to explore how many unique triangles they can construct by setting a side-angle-side combination. Key mathematical concepts include triangle properties and geometric construction. It uses commands such as Point, Segment, Rotate, Angle, Line, Circle, Intersect, and Polygon in GeoGebra. Suitable for middle school and above students for geometry exploration and learning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(AB)]) → B
  2. Segment(A, B) → a
  3. Rotate(B, Angle, A) → B'
  4. Angle(B, A, B') → α
  5. Line(A, B') → b
  6. Circle(A, AC) → c
  7. Intersect(c, b) → E, C
  8. Segment(A, C) → d
  9. Segment(B, D) → e
  10. Segment(C, D) → f
  11. Polygon(A, C, B) → poly1, b_1, a_2, c_1
  12. Angle(poly1) → β, γ, δ