Reflection Transformation Experiment

Reflection Transformation Experiment
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2018-11-06 01:28
This example demonstrates basic reflection transformations, including vertical, horizontal, and 45-degree diagonal reflections. Through experimentation, students can observe the changes in shapes during reflection, particularly the movement of vertices and the transformation of shapes. The core mathematical concepts involved include the properties of reflection, symmetry, and coordinate transformations. Key construction points involve using commands like Polygon, Segment, Line, and Mirror to create and reflect shapes, as well as dynamically adjusting reflection angles with sliders. Suitable for middle school and above students to understand the basics of geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(D, E) → d
  3. Segment(F, G) → e
  4. Segment(H, I) → f
  5. Line(J, If[vert, x = 0, If[horiz, y = 0, If[diag, y = x, y = -x]]]) → g
  6. Segment(K, L) → h
  7. Mirror(A, g) → A'
  8. Mirror(B, g) → B'
  9. Mirror(C, g) → C'
  10. Polygon(A', B', C') → poly1', c', a', b'
  11. Segment(C, C') → i
  12. Segment(A, A') → j
  13. Segment(B', B) → k