Reflection in the line x = 1
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This example demonstrates the reflection transformation of points and polygons across the line x = 1. It involves core mathematical concepts like reflection, coordinate geometry, and symmetry. The construction uses GeoGebra commands: Point, Polygon, OrthogonalLine, Mirror to create points, polygons, perpendicular lines, and reflected images. Suitable for high school coordinate geometry instruction or student exploration of geometric transformation properties.
GeoGebra Commands & Parameters
Point(xAxis) → APoint(xAxis) → BPolygon(C, D, E) → poly1, e, c, dPoint(xAxis) → FOrthogonalLine(F, xAxis) → fMirror(C, f) → C'Mirror(D, f) → D'Mirror(E, f) → E'Polygon(C', D', E') → poly1', e', c', d'