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Reflections and Translations by Steve Phelps

Reflections and Translations by Steve Phelps
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2016-01-18 21:21
PolygonVectorCoordinate GeometryTransformationGeometric Construction
In collections Congruence (CO) Cluster Congruence (Vol 1) Geometry Review Congruence (Vol 1) Over 80 Resources Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1
This example demonstrates the geometric transformations of a polygon through reflections and translations, involving core concepts like reflection, translation, vector, coordinate geometry, and geometric transformations. It utilizes commands such as Polygon, Vector, Translate, Line, and Mirror in GeoGebra for construction, making it suitable for high school students learning about geometric transformations and vectors.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(D, E) → v
  3. Translate(A, v) → A'
  4. Translate(B, v) → B'
  5. Translate(C, v) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Line(F, G) → m
  8. Line(H, I) → n
  9. Mirror(A, m) → A'_1
  10. Mirror(B, m) → B'_1
  11. Mirror(C, m) → C'_1
  12. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1
  13. Mirror(A'_1, n) → A''
  14. Mirror(B'_1, n) → B''
  15. Mirror(C'_1, n) → C''
  16. Polygon(A'', B'', C'') → poly2, l, j, k