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Reflection in x-axis and y-axis

Reflection in x-axis and y-axis
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2016-02-12 04:46
Coordinate GeometryTransformation
This example demonstrates axial symmetry and reflection in a line using coordinate geometry. It involves concepts such as reflection, parabola, and arithmetic mean. Using GeoGebra commands like Polygon, Mirror, Point, Line, and Segment, the reflection of shapes can be constructed. Suitable for students at the junior high school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Mirror(A, xAxis) → A'
  3. Mirror(B, xAxis) → B'
  4. Mirror(C, xAxis) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Mirror(A, yAxis) → A'_1
  7. Mirror(B, yAxis) → B'_1
  8. Mirror(C, yAxis) → C'_1
  9. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1
  10. Point(yAxis) → D
  11. Point(yAxis) → E
  12. Line(D, E) → f
  13. Point(xAxis) → F
  14. Point(xAxis) → G
  15. Line(F, G) → h
  16. Segment(B'_1, B) → j
  17. Segment(A'_1, A) → k
  18. Segment(C'_1, C) → l
  19. Segment(B, B') → m
  20. Segment(C, C') → n
  21. Segment(A, A') → p