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ASA Exploration: Creating Triangles via Angle-Side-Angle

ASA Exploration: Creating Triangles via Angle-Side-Angle
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2018-09-18 03:09
TriangleAngleGeometric Construction
In collections Triangle Congruence
ASA Exploration demonstrates how to create triangles using angle-side-angle combinations. Key mathematical concepts include triangle properties, geometric construction, and transformations. Construction involves GeoGebra commands such as Point, Segment, Rotate, Angle, Line, Intersect, and Polygon. Suitable for middle school or high school students learning geometry and triangle-related concepts.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(AB)]) → B
  2. Segment(A, B) → a
  3. Rotate(B, Angle1, A) → B'
  4. Angle(B, A, B') → α
  5. Line(A, B') → b
  6. Rotate(A, (-Angle2), B) → A'
  7. Angle(A', B, A) → β
  8. Line(A', B) → c
  9. Point(b) → C
  10. Segment(A, C) → d
  11. Point(c) → D
  12. Segment(B, D) → e
  13. Intersect(b, c) → E
  14. Polygon(A, E, B) → poly1, b_1, a_2, e_1
  15. Segment(C, D) → f