Rotation and Congruence

Rotation and Congruence
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2017-11-17 04:58
This example demonstrates the congruence of shapes under rotation, visually showing that the shape and position remain unchanged. It involves core mathematical concepts such as rotation transformation, geometric congruence, angle measurement, and polygon construction. Key GeoGebra commands and objects used include Intersect, Polygon, Rotate, Circle, Segment, and Angle. Suitable for middle school and above students learning geometric transformations, congruence criteria, and providing a visual tool for mathematical exploration.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(B, C, D) → t1, d, b, c
  3. Rotate(B, 90°, A) → B'
  4. Rotate(C, 90°, A) → C'
  5. Rotate(D, 90°, A) → D'
  6. Polygon(B', C', D') → t1', d', b', c'
  7. Circle(A, B) → e
  8. Segment(B, A) → f
  9. Segment(A, B') → g
  10. Angle(B, A, B') → α
  11. Circle(A, D') → h
  12. Segment(D, A) → i
  13. Segment(A, D') → j
  14. Angle(D, A, D') → β