90-degree Counterclockwise Rotation

90-degree Counterclockwise Rotation
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2016-04-15 01:20
This example demonstrates the geometric transformation of rotating points, line segments, and polygons by 90 degrees counterclockwise in a coordinate system. Key math concepts include rotation, coordinate transformation, and polygon construction. It utilizes GeoGebra commands and objects such as Point, Intersect, Polygon, and Rotate, along with objects A, B, C, E, F, G, H, I, J, and poly1 as outlined in the construction summary. Suitable for high school students learning geometric transformations, coordinate geometry, and applications in linear programming transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → G
  2. Point(yAxis) → H
  3. Intersect(xAxis, yAxis) → I
  4. Polygon(A, C, B) → poly1, b, a, c
  5. Intersect(xAxis, yAxis) → D
  6. Rotate(A, 90°, D) → A'
  7. Rotate(C, 90°, D) → C'
  8. Rotate(B, 90°, D) → B'
  9. Polygon(A', C', B') → poly1', b', a', c'