SAS Congruence Postulate Demo
Loading the math board and drawing, please wait…
This example dynamically demonstrates the SAS Congruence Postulate by visually showing two triangles completely overlap when their corresponding sides and angles are equal. Core math concepts include triangle congruence criteria, side length measurement, angle measurement, vector operations, and geometric transformations. GeoGebra commands and objects like Polygon, Vector, Distance, Angle, Translate, and Segment are used to construct and transform the triangles dynamically. Suitable for high school geometry teaching to enhance understanding and application of the congruence postulate.
GeoGebra Commands & Parameters
Polygon(A, B, C) → poly1, c, a, bVector(D, E) → uDistance(A, B) → distanceABDistance(B, C) → distanceBCDistance(A, C) → distanceACAngle(C, B, A) → αAngle(B, A, C) → γAngle(A, C, B) → βTranslate(A, Vector[(0, 0)]) → A'Translate(B, Vector[(0, 0)]) → B'Segment(A', B') → c'Translate(A, u) → A'_1Translate(B, u) → B'_1Segment(A'_1, B'_1) → c'_1