MathPlotAI Logo MathPlotAI

Circumcenter of a Triangle by Tim Brzezinski

Circumcenter of a Triangle by Tim Brzezinski
Loading the math board and drawing, please wait…
2015-08-09 12:33
TriangleCircleCoordinate Geometry
In collections Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Triangle Theorems Triangles: Points of Concurrency
This example demonstrates the circumcenter of a triangle by drawing perpendicular bisectors to help students discover its properties. Key mathematical concepts include perpendicular bisectors and circumcenter. GeoGebra commands used include Segment, LineBisector, and Polygon. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(J, L) → a
  2. Segment(L, K) → b
  3. Segment(K, J) → c
  4. LineBisector(a) → g
  5. LineBisector(c) → h
  6. LineBisector(b) → i
  7. Angle(a, g) → α
  8. Angle(b, i) → β
  9. Angle(c, h) → γ
  10. Intersect(g, a) → D
  11. Intersect(i, b) → E
  12. Intersect(h, c) → F
  13. Segment(J, D) → d
  14. Segment(D, L) → e
  15. Segment(L, E) → f
  16. Segment(E, K) → j
  17. Segment(K, F) → k
  18. Segment(F, J) → l
  19. Intersect(g, h) → C
  20. Angle(D, J, F) → δ
  21. Angle(F, K, E) → ε
  22. Angle(E, L, D) → ζ
  23. Polygon(J, K, L) → poly1, l_1, j_1, k_1