Angle Bisector Construction by Tim Brzezinski

Loading the math board and drawing, please wait…

2016-08-04 10:47

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 GCSE Higher Ch8 Transformations & Constructions Constructions (Compass & Straightedge) Constructions (Compass & Straightedge) Constructions (Compass & Straightedge) Constructions (Compass & Straightedge) Basic Constructions

This example demonstrates the dynamic construction of an angle bisector using GeoGebra. It involves core mathematical concepts such as angles, segments, and rotational symmetry. Key GeoGebra commands and objects used include Point, Rotate, Angle, Segment, and Ray, along with objects α, A, B, B', β, f, g, h, i. It is suitable for middle school and above students to learn geometric construction techniques and for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

Point(xAxis) → A
Rotate(B, α, A) → B'
Angle(B, A, B') → β
Segment(A, B) → f
Ray(A, B') → g
Ray(A, B') → h
Ray(A, B) → i

AI Drawing Prompt Reference

Construct a dynamic angle bisector. First, create point A on the x-axis. Then, rotate point B around A to get B'. Draw angle BAB' and construct the rays AB and AB'. Finally, draw the angle bisector of angle BAB'.

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