Reflecting across a mirror line

Reflecting across a mirror line
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2018-11-07 23:41
This example demonstrates the reflection transformation of points, polygons, and figures across a mirror line, involving core math concepts like symmetry, coordinate geometry, and transformation. It uses commands Polygon, Line, Mirror to create objects such as points A_1, B_1, C, D, E, polygon poly1, and mirror line Mirror. Suitable for middle school and above students learning geometric transformations and applications of symmetry and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A_1, B_1, C, D, E) → poly1, a, b, c, d, e
  2. Line(A, B) → MirrorLine
  3. Mirror(A_1, MirrorLine) → A'
  4. Mirror(B_1, MirrorLine) → B'
  5. Mirror(C, MirrorLine) → C'
  6. Mirror(D, MirrorLine) → D'
  7. Mirror(E, MirrorLine) → E'
  8. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'