Segment Addition Postulate Demo by spencerkingman

Loading the math board and drawing, please wait…

2015-07-23 09:55

This example visually demonstrates the Segment Addition Postulate, showing how two line segments combine to form a third segment. It involves core concepts like line segments, points, vectors, and translations. The construction uses commands such as Segment, Point, OrthogonalLine, Vector, and Translate to create points A, C, B, vector u, translate to B', and calculate vector v and c. It is suitable for middle school and above students learning basic geometry principles and vector operations, ideal for classroom demonstrations and problem-solving practice.

GeoGebra Commands & Parameters

Segment(A, C) → a
Point(a) → B
OrthogonalLine(A, a) → b
Point(b) → D_1
Vector(A, D_1) → u
Translate(C, u) → B'
Vector(C, B') → v
Segment(D_1, B') → c
Segment(A, B) → d
Segment(B, C) → e

AI Drawing Prompt Reference

Draw a line segment AC, then take a point B on it. Construct a perpendicular line to AC through point A, and take a point D1 on this perpendicular line. Draw vector u from A to D1, then translate point C by vector u to get B'. Draw vector v from C to B', and then draw line segment D1B'. Finally, draw line segments AB and BC.

The prompt above was compiled from the original drawing commands and is for reference only.