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Triangle HKJ Rotated 75° CW about Point R on HJ

Triangle HKJ Rotated 75° CW about Point R on HJ
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2017-11-09 02:07
Triangle
In collections Rotations Practice 11-8-17
This example demonstrates the rotation of triangle HKJ 75° clockwise about point R on HJ. Key mathematical concepts include rotation, line segment, construction, isosceles triangle, and sine function. The construction uses GeoGebra commands such as Polygon, Point, Segment, Circle, Rotate, and Angle. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(H, J, K) → t1, c, a, b
  2. Point(c) → R
  3. Segment(R, K) → f
  4. Circle(R, H) → d
  5. Circle(R, J) → e
  6. Circle(R, K) → g
  7. Rotate(K, (-(75°)), R) → K'
  8. Angle(K', R, K) → α
  9. Rotate(H, (-(75°)), R) → H'
  10. Angle(H', R, H) → β
  11. Rotate(J, (-(75°)), R) → J'
  12. Angle(J', R, J) → γ
  13. Polygon(H', K', J') → t2, j', h', k'
  14. Segment(R, K') → h