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SSS: Exercise 2

SSS: Exercise 2
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2015-12-06 11:07
TriangleTransformationGeometric Construction
In collections Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 Triangle Congruence Theorems 1
This example demonstrates the application of the SSS (Side-Side-Side) congruence criterion in triangle congruence. Key math concepts include triangle congruence criteria, geometric transformations, and coordinate geometry. Construction highlights the use of GeoGebra commands and objects such as Segment, Line, Circle, Intersect, Polygon, and Mirror. Suitable for high school students and teachers learning geometric transformations and triangle congruence.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Segment(B, C) → a
  3. Segment(C, A) → b
  4. Line(D_1, E_1) → d_1
  5. Circle(E_1, c) → e_2
  6. Intersect(e_2, d_1, 1) → F_1
  7. Segment(F_1, E_1) → f_2
  8. Circle(E_1, a) → g
  9. Circle(F_1, b) → h
  10. Intersect(g, h, 2) → G
  11. Segment(F_1, G) → i
  12. Segment(G, E_1) → j
  13. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  14. Polygon(F_1, E_1, G) → poly2, g_1, f_1, e_1
  15. Line((2, 0), (12, 16)) → l
  16. Mirror(F_1, l) → D
  17. Mirror(E_1, l) → E
  18. Mirror(G, l) → F
  19. Polygon(D, E, F) → poly2', g', f', e'
  20. Mirror(F_1, l) → F'_1
  21. Mirror(E_1, l) → E'_1
  22. Segment(F'_1, E'_1) → f
  23. Mirror(G, l) → G'_1
  24. Mirror(E_1, l) → E'_2
  25. Segment(G'_1, E'_2) → d
  26. Mirror(F_1, l) → F'_2
  27. Mirror(G, l) → G'_2
  28. Segment(F'_2, G'_2) → e

AI Drawing Prompt Reference

Draw a triangle and create three circles based on its side lengths. Find the intersection points of these circles to form a new triangle. Connect each vertex of the original triangle to the corresponding vertex of the new triangle. Then, draw a parallelogram above a horizontal line and reflect the new triangle and its connecting segments across this line to show the symmetrical results.
The prompt above was compiled from the original drawing commands and is for reference only.