MathPlotAI Logo MathPlotAI

Reflection over vertical line of symmetry

Reflection over vertical line of symmetry
Loading the math board and drawing, please wait…
2015-05-13 20:37
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the reflection transformation of a figure over a vertical line of symmetry. It involves core mathematical concepts such as symmetry, reflection, and coordinate geometry. The construction utilizes GeoGebra commands/objects like Polygon, Random, Mirror, and Textfield. Suitable for high school students learning coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Random(-5, 5) → n
  3. Mirror(A, e) → A'
  4. Mirror(B, e) → B'
  5. Mirror(C, e) → C'
  6. Mirror(D, e) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Textfield(t) → inputBox1

AI Drawing Prompt Reference

Draw a quadrilateral, then generate a vertical line through its center as a line of symmetry, reflect the quadrilateral over this line to create a new quadrilateral, and label the concept of symmetry using a text box.
The prompt above was compiled from the original drawing commands and is for reference only.