Congruence with Rigid Motions Example

Congruence with Rigid Motions Example
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2014-10-28 21:57
In collections Sequence of Rigid Motions
This example demonstrates the concept of congruence through rigid motions (translations, rotations, reflections) in geometry. It involves core mathematical concepts such as congruence, rigid motions, vectors, angles, circles, and coordinate geometry. The construction uses commands like Segment, Midpoint, and Polygon in GeoGebra. Suitable for high school students learning geometric transformations and congruence theorems, as well as university-level introductory geometry courses.

GeoGebra Commands & Parameters

  1. Segment(A, E) → a
  2. Segment(E, C) → b
  3. Midpoint(a) → G
  4. Midpoint(b) → H
  5. Polygon(D, A, G) → poly1, g, d, a_1
  6. Polygon(D, E, G) → poly2, g_1, d_1, e
  7. Polygon(E, B, G) → poly3, g_2, e_1, b_1
  8. Polygon(A, B, G) → poly4, g_3, a_2, b_2
  9. Polygon(B, H, E) → poly5, e_2, b_3, h
  10. Polygon(B, C, H) → poly6, h_1, b_4, c
  11. Polygon(E, F, H) → poly7, h_2, e_3, f
  12. Polygon(F, C, H) → poly8, h_3, f_1, c_1