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Reflection Matrix about line y = xtanθ + c

Reflection Matrix about line y = xtanθ + c
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2019-10-19 17:42
TrigonometryCoordinate GeometryMatrixTransformation
This example demonstrates how a reflection matrix transforms a line y = xtanθ + c. It involves core math concepts like matrix transformations, reflection, trigonometric functions, and coordinate geometry. Constructed using GeoGebra commands/objects: y_c, θ, b, c, a, d, M, A, C, D, txta, txtb, txtd, txtc, M_t, B, text2, text3, text1, f, text4. Suitable for high school and above students exploring properties and applications of matrix transformations.

GeoGebra Commands & Parameters

  1. Numeric y_c(1)
  2. Angle θ(0.8726646259971648)
  3. sin((2 * θ))
  4. b
  5. cos((2 * θ))
  6. (-a)
  7. {{a, b}, {c, d}}
  8. Point A(4, 2)
  9. (0, y_c)
  10. A - C
  11. {{txta, txtb}, {txtc, txtd}}
  12. (M * D) + C
  13. f(x) = (x * tan(θ)) + y_c