MathPlotAI Logo MathPlotAI

Rotation of Triangle FEG about Point P 110 CCW

Rotation of Triangle FEG about Point P 110 CCW
Loading the math board and drawing, please wait…
2017-11-09 00:16
TriangleCirclePolygonAngleTransformation
In collections Rotations Practice 11-8-17
This example demonstrates the rotation of Triangle FEG about point P by 110 degrees counterclockwise. It involves core mathematical concepts such as rotation, angle, and geometric transformation. The construction uses commands and objects like Point, Polygon, Segment, Intersect, Circle, Rotate, and Angle in GeoGebra to precisely illustrate the rotation effect. Suitable for high school students learning geometric transformations and spatial reasoning.

GeoGebra Commands & Parameters

  1. Point(Circle[F, 3.101612483854165]) → G
  2. Polygon(F, G, C) → t1, c, a, b
  3. Segment(D, G) → f
  4. Intersect(a, b) → E
  5. Segment(D, E) → g
  6. Segment(D, F) → h
  7. Circle(D, G) → d
  8. Circle(D, E) → e
  9. Circle(D, F) → k
  10. Rotate(G, 110°, D) → G'
  11. Angle(G, D, G') → α
  12. Rotate(F, 110°, D) → F'
  13. Angle(F, D, F') → β
  14. Rotate(E, 110°, D) → E'
  15. Angle(E, D, E') → γ
  16. Polygon(F', E', G') → t2, b', a', e'