MathPlotAI Logo MathPlotAI

ASA Congruence Demonstration by Bernard Smith

ASA Congruence Demonstration by Bernard Smith
Loading the math board and drawing, please wait…
2018-12-12 23:46
TriangleAngleGeometric Construction
This example demonstrates the Angle-Side-Angle (ASA) congruence condition for triangles using GeoGebra. It involves core mathematical concepts such as triangle congruence criteria, angle measurement, and segment length calculation. The construction utilizes commands and objects like Point, Rotate, Angle, Line, Intersect, Distance, Midpoint, and Segment. Suitable for middle school and higher education, this tool helps visualize and validate geometric theorems.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 4]) → B
  2. Rotate(A, 45°, B) → A'
  3. Angle(A, B, A') → α
  4. Rotate(B, (-(74°)), A) → B'
  5. Angle(B', A, B) → β
  6. Line(A, B') → g
  7. Line(B, A') → h
  8. Intersect(g, h) → C
  9. Distance(A, C) → distanceAC
  10. Midpoint(A, C) →
  11. Distance(B, C) → distanceBC
  12. Midpoint(B, C) →
  13. Distance(A, B) → distanceAB
  14. Midpoint(A, B) →
  15. Segment(A, B) → f