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Similar Triangles and Scale Factor

Similar Triangles and Scale Factor
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2014-11-04 21:57
TriangleTransformationGeometric Construction
In collections PARCC Math II Unit 5 Lesson 1
This example demonstrates the concept of dilation in similar triangles, calculating the scale factor by comparing corresponding side lengths. Key math concepts include similarity criteria, transformation, and ratio relationships. Constructed using GeoGebra commands like Circle, Point, Intersect, Polygon, Angle, Segment, Ray, MirrorPtC, Scale, etc. Ideal for high school students to explore the properties of dilation and its applications.

GeoGebra Commands & Parameters

  1. Circle(A, AC) → CirAC
  2. Circle(A, AB) → CirAB
  3. Point(CirAB) → B
  4. Circle(B, BC) → CirBC
  5. Intersect(CirBC, CirAC) → MirrorPtC, PtC, ,
  6. Polygon((15, y(Corner[1])), Corner[2], Corner[3], (15, y(Corner[4]))) → Mask, a, b, c, d
  7. Angle(B, C, A) → EFD
  8. Angle(C, A, B) → FDE
  9. Segment(A, B) → AB_1
  10. Segment(C, A) → AC_1
  11. Segment(C, B) → BC_1
  12. Segment(A', B') → A'B'
  13. Angle(B', C', A') → E'F'D'
  14. Segment(C', A') → A'C'
  15. Segment(B', C') → B'C'
  16. Angle(C', A', B') → F'D'E'
  17. Angle(A, B, C) → DEF
  18. Angle(A', B', C') → D'E'F'
  19. Ray(DP, B') → RayB
  20. Ray(DP, C') → RayC
  21. Ray(DP, A') → RayA