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Angle Bisector Reflection Investigation by Becky Mullen

Angle Bisector Reflection Investigation by Becky Mullen
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2016-09-01 08:29
AngleGeometric Construction
In collections Reflections Investigation
This example demonstrates the reflection properties of points on an angle bisector across the angle's sides. It involves core math concepts like angles, reflections, symmetry, and geometric transformations. The construction uses GeoGebra commands and objects such as Polygon, Mirror, Segment, Intersect, and Angle. Suitable for high school students to explore geometric transformations and symmetry, as well as reflection properties.

GeoGebra Commands & Parameters

  1. Polygon(C, B, A) → poly1, a, c, b
  2. Mirror(C, f) → C'
  3. Mirror(B, f) → B'
  4. Mirror(A, f) → A'
  5. Polygon(C', B', A') → poly1', a', c', b'
  6. Segment(C, C') → CC'
  7. Segment(A, A') → AA'
  8. Segment(B, B') → BB'
  9. Intersect(CC', f) → CM
  10. Intersect(AA', f) → AM
  11. Intersect(BB', f) → BM
  12. Segment(B, BM) → MB
  13. Segment(BM, B') → MB'
  14. Segment(A, AM) → MA
  15. Segment(AM, A') → MA'
  16. Segment(C, CM) → MC
  17. Segment(CM, C') → MC'
  18. Angle(B, BM, AM) → α
  19. Angle(AM, CM, C) → β