MathPlotAI Logo MathPlotAI

Two Congruent Sides with Congruent Angle in Between

Two Congruent Sides with Congruent Angle in Between
Loading the math board and drawing, please wait…
2017-12-12 08:30
TriangleAngleGeometric Construction
In collections Triangle Congruence Investigation Triangle Congruence Investigation
This example demonstrates the properties of a triangle with two congruent sides and a congruent angle between them (SAS). Key mathematical concepts include triangle properties and geometric construction. Using GeoGebra commands such as Point, Segment, Rotate, Ray, and Angle, you can construct such a triangle. Suitable for middle school and above students to learn about triangle properties and geometric construction.

GeoGebra Commands & Parameters

  1. Point(Circle[A_2, 3]) → B_2
  2. Segment(A_2, B_2) → f
  3. Rotate(A_2, 115°, A_2) → A
  4. Rotate(B_2, 115°, A_2) → B
  5. Segment(A, B) → f'
  6. Ray(A_2, B_2) → g
  7. Point(g) → C
  8. Segment(A_2, C) → h
  9. Point(Circle[A_1, 3]) → B_1
  10. Segment(A_1, B_1) → f_1
  11. Rotate(A_1, 115°, A_1) → D
  12. Rotate(B_1, 115°, A_1) → E
  13. Segment(D, E) → f'_1
  14. Ray(A_1, B_1) → g_1
  15. Angle(C, A_2, B) → α
  16. Segment(C, B) → j
  17. Point(Circle[A_1, 7.3]) → F
  18. Segment(A_1, F) → i
  19. Angle(F, A_1, E) → β
  20. Segment(F, G) → k