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Dilating a Point (Intro)

Dilating a Point (Intro)
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2016-03-23 22:17
Coordinate GeometryTransformationGeometric Construction
In collections Similarity & Right Triangle Trigonometry Similarity, Right Triangles, and Trigonometry (SRT) Cluster Transformations! (Geometry) Dilations: Discovery Activities & Exercises Dilations: Discovery Activities & Exercises
This example demonstrates conceptually what it means to dilate a point about another point. It involves core math concepts like transformation and distance calculation. GeoGebra commands and objects used include Textfield, Dilate, Segment, Distance, with sliders for scale control and visualization of pre-image, image, and distance relationships. Suitable for middle school and above students to understand geometric transformations and ratios.

GeoGebra Commands & Parameters

  1. Textfield(k) → InputBox1
  2. Dilate(A, k, O) → A'
  3. Dilate(A, k, O) → A'_1
  4. Dilate(A, k, O) → A'_2
  5. Segment(O, A') → g
  6. Segment(O, A) → h
  7. Distance(A', O) → distanceA'O
  8. Distance(O, A) → distanceOA
  9. Distance(O, A') → distanceOA'