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Triangle Dilation Example

Triangle Dilation Example
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2014-11-04 22:00
TriangleCoordinate Geometry
In collections PARCC Math II Unit 5 Lesson 1
This example demonstrates the process of dilating a triangle in the coordinate plane. It involves core math concepts like dilation, similar triangles, and coordinate geometry. Construction highlights include using GeoGebra commands such as Intersect, Polygon, Angle, Segment, and Slider to build the figure and illustrate the transformation. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Or
  2. Polygon((11, y(Corner[1])), Corner[2], Corner[3], (11, y(Corner[4]))) → Mask, mask4, mask3, mask2, mask1
  3. Angle(H, J, G) → EFD
  4. Angle(J, G, H) → FDE
  5. Segment(G, H) → GH
  6. Segment(J, G) → GJ
  7. Segment(J, H) → HJ
  8. Segment(G', H') → G'H'
  9. Angle(H', J', G') → E'F'D'
  10. Segment(J', G') → G'J'
  11. Segment(H', J') → H'J'
  12. Angle(J', G', H') → F'D'E'
  13. Angle(G, H, J) → DEF
  14. Angle(G', H', J') → D'E'F'