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Animation 161: Triangle Median Transformation

Animation 161: Triangle Median Transformation
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2017-01-08 03:46
TriangleTransformationGeometric Construction
In collections Congruence (CO) Cluster CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 Congruence: Volume 1 - Chapter 1 Congruence: Volume 1 - Chapter 1 Congruence V1C1 Check
This example demonstrates the transformation of a triangle's median. Key mathematical concepts include triangle medians, transformations, and geometric construction. Using GeoGebra commands such as Polygon, Segment, Midpoint, Dilate, and Rotate, the dynamic properties and changes of the median are illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(C, A) → f
  3. Segment(C, B) → g
  4. Midpoint(A, B) → M
  5. Dilate(A, If[0 < d ≤ 1, 1 - d, 0], M) → A'
  6. Segment(A, A') → h
  7. Rotate(A, If[1 < d ≤ 2, ((-(d - 1)) * π), (-π)], M) → A'_1
  8. Rotate(A', If[1 < d ≤ 2, ((-(d - 1)) * π), (-π)], M) → A''
  9. Segment(A'_1, A'') → h'
  10. Dilate(C, If[2 < d ≤ 3, 3 - d, 0], M) → C'
  11. Segment(C, C') → i
  12. Segment(C, M) → j

AI Drawing Prompt Reference

Draw triangle ABC, connect C to the midpoint M of AB, then rotate and scale point A around M, drawing the resulting segments. Next, rotate point A counterclockwise around M, drawing the resulting segment. Finally, scale point C around M and draw the new segment.
The prompt above was compiled from the original drawing commands and is for reference only.