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Exploring Rotations in the Coordinate Plane by Jen Rosie

Exploring Rotations in the Coordinate Plane by Jen Rosie
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2017-08-17 06:10
PolygonCoordinate GeometryTransformation
This example demonstrates the process of rotating a polygon in the coordinate plane. Core mathematical concepts include rotation, circumcircle, coordinate geometry, and geometric transformations. Construction highlights the use of GeoGebra commands and objects such as Polygon, Rotate, Point, and Circle. Suitable for high school students learning coordinate geometry and transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, α, D) → A'
  3. Rotate(B, α, D) → B'
  4. Rotate(C, α, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Point(yAxis) → K
  7. Point(yAxis) → L
  8. Circle(L, D) → q
  9. Point(yAxis) → M
  10. Point(yAxis) → N
  11. Point(q) → P

AI Drawing Prompt Reference

Draw a polygon in the coordinate plane and demonstrate the process of rotating it around a point. Start by plotting the original polygon, then identify the center of rotation and the angle of rotation. Rotate each vertex of the polygon around the center by the specified angle to get new vertices, and connect these new vertices to form the rotated polygon. Additionally, draw a circle centered at the rotation point and mark its intersections with the coordinate axes to illustrate the geometric transformation.
The prompt above was compiled from the original drawing commands and is for reference only.