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Vertical Axis Symmetry Design

Vertical Axis Symmetry Design
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2015-01-29 21:37
TransformationGeometric ConstructionSlider Animation
This is a randomly generated design element reflected over two perpendicular lines. Users can generate a new set of lines by clicking the 'New' button. The example involves reflection transformation and geometric construction. It uses Rotate and PolyLine commands in GeoGebra. Suitable for high school math education and learning reflection transformations.

GeoGebra Commands & Parameters

  1. Rotate(Sequence[Segment[(Element[list2, i], (-10)), (Element[list1, i], 0)], i, 1, n], ((k * 90))°, (5, -5)) → list4
  2. Rotate(Sequence[Segment[(Element[list1, i], 0), (Element[list2, i], 10)], i, 1, n], ((k * 90))°, (5, 5)) → list3
  3. Rotate(Sequence[Segment[(20 - Element[list2, i], (-10)), (20 - Element[list1, i], 0)], i, 1, n], ((-((k * 90))))°, (15, -5)) → list5
  4. Rotate(Sequence[Segment[(20 - Element[list1, i], 0), (20 - Element[list2, i], 10)], i, 1, n], ((-((k * 90))))°, (15, 5)) → list6
  5. PolyLine((0, -10), (20, -10), (20, 10), (0, 10), (0, -10)) → a

AI Drawing Prompt Reference

Create a symmetric design element composed of multiple line segments that are initially randomly distributed between two perpendicular lines. Apply a series of rotations and reflections to generate new shapes, with each rotation being 90 degrees, resulting in four sets of transformations. The design should exhibit vertical axis symmetry and be suitable for teaching geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.