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PMC 2014-2015 Q4

PMC 2014-2015 Q4
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2014-11-16 17:36
TriangleVectorCoordinate Geometry
In collections About Exponents
This example demonstrates the geometric construction of an isosceles triangle. Key mathematical concepts include triangles, vectors, and coordinate geometry. Using GeoGebra commands such as Circle, Translate, and Sequence, the example dynamically shows the translation transformation and sequence generation of the triangle. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle((1.5, 1.5), 1.5) → c0
  2. Translate(c0, (0, 0)) → t1
  3. Sequence(Dilate[t1, 0.33333, Element[pt, k]], k, 1, 6) → t2
  4. Sequence(Dilate[t2, 0.33333, Element[pt, k]], k, 1, 6) → t3
  5. Sequence(Dilate[t3, 0.33333, Element[pt, k]], k, 1, 6) → t4
  6. Sequence(Dilate[t4, 0.33333, Element[pt, k]], k, 1, 6) → t5

AI Drawing Prompt Reference

Draw an isosceles triangle to demonstrate its geometric construction through vector translation and coordinate geometry. Start by drawing a circle, then translate it, and generate a sequence of isosceles triangles by repeatedly scaling and translating, showing the transformation process.
The prompt above was compiled from the original drawing commands and is for reference only.