GeoGebra Help Document, Interactive Mind Map

GeoGebra is a dynamic geometry software. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, and functions.



Graphic organizers are visual representations of knowledge, concepts or ideas.

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Triangle Circumcenter by Folding - Software: Tabula

The art of origami or paper folding has received a considerable amount of mathematical study.
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Software: Tabula, Triangle Centroid by Folding

The art of origami or paper folding has received a considerable amount of mathematical study.
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Software: Tabula, Triangle Orthocenter by Folding

The art of origami or paper folding has received a considerable amount of mathematical study.
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Triangle Incenter by Folding - Software: Tabula

The art of origami or paper folding has received a considerable amount of mathematical study.
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Interactive Square Hinged Tessellation - Dynamic Geometry

C.a.R. Java Applet
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Level: All

Word Cloud of Dynamic Geometry or Interactive Geometry Software and News

Weighted list in visual design.
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Word Cloud of Dynamic Geometry and News

Interactive Geometry iPhone App

Video and News
Apollonius by Adolfo Rodriguez is an Interactive Geometry Software (IGS, or Dynamic Geometry Environment, DGE) for the iPhone and iPod Touch. It allows you to make geometric constructions (such as those made using a compass and straightedge/ruler) and move their parts smoothly using the device's touchscreen.
Video: the first construction is a regular hexagon given its center and one vertex. The second construction is the nine-point circle.
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Interactive Geometry iPhone App

Earthquake: Subduction Zone Geometry Analysis

Preliminary SZGC Results NEAR COAST OF CENTRAL CHILE by Dr. G. Hayes, NEIC.
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Earthquake: Subduction Zone Geometry Analysis

Adding technology to geometry class improves opportunities to learn

A new study co-written by a University of Illinois expert in math education suggests that incorporating technology in high school-level geometry classes not only makes the teaching of concepts such as congruency easier, it also empowers students to discover other geometric relationships they wouldn’t ordinarily uncover when more traditional methods of instruction were used.


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Technology in geometry class

TracenPoche Interactive Geometry Software Applications

Index

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TracenPoche Interactive Geometry Software Applications
Geometry Index

Level: High School, SAT Prep, College geometry

Dynamic Geometry Software

Index

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Dynamic Geometry Software
Geometry Index

Level: High School, SAT Prep, College geometry

Bottema's Theorem: Triangle and Squares

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
Draw squares ABDE and BCFG on sides AB and BC of a triangle ABC. Then the midpoint M of EF is independent of B and the triangle AMC is an isosceles right triangle.



Continue reading at:
gogeometry.com/geometry/bottema_theorem_triangle_square.htm

Archimedes' Arbelos and Square 2

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that KLFM is a square.



Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square_2.htm

Archimedes' Arbelos and Square

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that ELBK is a square.



Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square.htm

Miquel Pentagram, Dynamic Geometry

Requires Java 1.3 or higher and Java enable browser
Take a pentagram ABCDE forming a convex pentagon FGHIJ and triangles AFJ, BGF, CHG, DIH, and EJI. Construct the circumcircles of triangles AFJ, BGF, CHG, DIH, and EJI. Then the five new points, K,L,M,N,P resulting from the intersection of two consecutive circumferences are concyclic (lie on the same circumference).



Continue exploring at:
gogeometry.com/javacar/Miquel_1.htm

Monge & d'Alembert Three Circles Theorem II

Dynamic Geometry
Given three disjoint circles A, B and C of unequal radii situated entirely in each other's exterior, the common internal tangents of circles A and C meet in Y, the common internal tangents of circles A and B meet in Z and the common external tangents of circles B and C meet in X. Then the points X, Y and Z are collinear.


Continue reading at:
gogeometry.com/javacar/Monge_2.htm

Monge & d'Alembert Three Circles Theorem I

Dynamic Geometry
Given three disjoint circles A, B and C of unequal radii situated entirely in each other's exterior. Then the common external tangents taken in pairs, meet in three points X, Y and Z which lie on a line.


Continue reading at:
gogeometry.com/javacar/Monge_1.htm

Kurschak's Tile and Theorem.

Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric way of finding the area of a regular dodecagon.


Continue reading at:
gogeometry.com/kurschak1.html

Menelaus' Theorem Proof

Proposition
Let ABC be a triangle and MEN a line that transverse (crosses) the lines AB, BC, and AC respectively. Prove that (AM.BE.CN)/(MB.EC.NA)=-1. The converse also holds.



See complete interactive proof with animation and key concepts
Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.