MathPlotAI Logo MathPlotAI

Dilation of a Circle

Dilation of a Circle
Loading the math board and drawing, please wait…
2016-09-19 04:48
CircleVector
This example demonstrates the dilation of a circle. Key mathematical concepts include similarity transformation, properties of circles, and vectors. Using the Dilate command, observe the changes in the circle under different scaling factors. Construction highlights include the use of Circumference, PointIn, Dilate, and Text commands. Suitable for middle school and above students to learn about similarity transformations and properties of circles.

GeoGebra Commands & Parameters

  1. Dilate(pic1, a, A) → pic1'
  2. Circle(C, D) → c
  3. Dilate(c, a, A) → c'
  4. Circumference(c) → circumferencec
  5. PointIn(c) → Pointc
  6. Circumference(c') → circumferencec'
  7. PointIn(c') → Pointc'