My Main GeoGebra Page




Subject

Description

HTML Link

Triangles

Try to construct a triangle to see the relationship
between angles and sides.

https://www.geogebra.org/classic/wwghpxy7

Triangles

Another example of the above.

https://www.geogebra.org/classic/dunwgfhf

Triangles

This applet has a button to generate three random
side lengths from {1, 2, 3, 4, 5, 6}. Then the triangle is built, if possible.
It can be used to explore the triangle inequality.

https://www.geogebra.org/classic/kdyfph49

Triangles

This applet is the same as the one above,
but it also has an option to view the angles.
This can be used to investigate the angle sum
and the relationship between angles and side lengths.

https://www.geogebra.org/classic/m5uevrra

Triangles

This applet is similar to the above two, but the user
must try to build the triangle.

https://www.geogebra.org/classic/z3pnhmku

Triangles

Here is another one of the SSS applets.
This one allows the user to enter any three side lengths.

https://www.geogebra.org/classic/s8emsshg

Triangles

This applet allows users to investigate the relationship
between a2+b2 and c2

https://www.geogebra.org/classic/rcyjwawk

Triangles

This applet shows Ceva's Theorem.

https://www.geogebra.org/classic/q4dqth4k

Triangles

This applet shows The Theorem of Menelaus.

https://www.geogebra.org/classic/tc6ybp2t

Triangles

This applet shows the Nine Point Circle of a triangle.

https://www.geogebra.org/classic/rhddum6m

Quadrilaterals

This applet simulates a GeoBoard. It has "rubberbands" that
can be used to explore quadrilaterals.

https://www.geogebra.org/classic/cdnegehb

Quadrilaterals

This applet contains moveable quadrilaterals and
a Venn diagram with two loops.

https://www.geogebra.org/classic/evc5cd6h

Quadrilaterals

This applet contains moveable quadrilaterals and
a Venn diagram with three loops.

https://www.geogebra.org/classic/yv63d6uy

Circles

This applet contains a demonstration of the Chord-Segment Product Theorem.

https://www.geogebra.org/classic/gfrxbqjm

Circles

This applet contains a demonstration of the Inscribed Angle Theorem.

https://www.geogebra.org/classic/dqxwezdu

Circles

This applet contains a demonstration of the Secant-Segment Product Theorem.

https://www.geogebra.org/classic/pbs7nzdy

Circles

This applet contains a demonstration of the Tangent-Secant Segment Product Theorem.

https://www.geogebra.org/classic/yg9wqub2

Circles

This applet contains a demonstration of the Tangent-Chord Angle Theorem.

https://www.geogebra.org/classic/rbgguqrd

Circles

This applet contains a demonstration of the Two-Chord Angle Theorem.

https://www.geogebra.org/classic/z6pkndpd

Circles

This applet contains a demonstration of the Two-Secant Angle Theorem.

https://www.geogebra.org/classic/mzbgnryf

Area and Perimeter

This applet simulates a GeoBoard. It has "rubberbands" that
can be used to explore area and perimeter of polygons.

https://www.geogebra.org/classic/g4mkczp4

Area and Perimeter

This applet simulates a GeoBoard. It has a "rubberband" that
can be used to explore area and perimeter of polygons.
This can be used to investigate Pick's Theorem.

https://www.geogebra.org/classic/pbeqn3qm

Pi

This applet is to estimate Pi using the perimeter of polygons.

https://www.geogebra.org/classic/hx48qdtv

Transformations

This applet contains a draggable triangle and a button to generate
a random translation vector and the translated image of the triangle.

https://www.geogebra.org/classic/jze6fkxu

Transformations

This applet is the same as the one above but has
the option to view the vector.

https://www.geogebra.org/classic/dqgqdqsk

Transformations

This applet has a draggable triangle, a fixed center,
and a button to generate a random angle
and the rotated image of the triangle.

https://www.geogebra.org/classic/bed76dar

Transformations

This applet has a draggable triangle, and generates
a random composition of a translation and dilation.
Students can try to find the coordinates for the vector of
translation and the scale factor of the dilation.

https://www.geogebra.org/classic/wrvcyrwz

Transformations

This one includes compositions of dilations with
reflections, rotations, and translations.

https://www.geogebra.org/classic/g8y6xkdv

Transformations

This applet has a draggable triangle and its image under a random
rotation, translation, or reflection. A button allows users
to generate a new random transformation.

https://www.geogebra.org/classic/tryk4pra

Transformations

This applet is the same as the one above, but it includes the option
to be told the transformation (and shown the line of reflection,
center and angle of rotation, or translation vector).

https://www.geogebra.org/classic/ts6b588x

Transformations

This one is the same as the one above, but it also includes glide transformations.

https://www.geogebra.org/classic/jejbbuq7

Transformations

This applet is to practice finding the coordinates of a triangle
that has been rotated about the origin.
The user can generate random problems and check his or her answers.

https://www.geogebra.org/classic/s9rverg4

Transformations

This applet is the same as the one above, but the center
of the rotation is draggable. GeoGebra's right click is
enabled for this applet. So the you can right click on
the blue point and view the "object properties" to see
and/or change its coordinates.

https://www.geogebra.org/classic/rwm68ya9

Transformations

This applet is to preactice finding the coordinates of a triangle
that has been reflected across the line y = mx.

https://www.geogebra.org/classic/b4z3sym9

Transformations

This applet is to preactice finding the coordinates of a triangle
that has been reflected across the line y = mx+b.

https://www.geogebra.org/classic/qdzyr3sf

Transformations

This applet is to practice finding the coordinates of a triangle
that has been dilated. The user can generate random problems and
check his or her answers.

https://www.geogebra.org/classic/shxbpptk

Transformations

This applet shows the inversion of a point about a circle.

https://www.geogebra.org/classic/k78adxv5

Transformations

This applet shows the inversion of several points on a circle about another circle.

https://www.geogebra.org/classic/mqrzwswy

Transformations

This applet shows the inversion of several points on a line about another circle.

https://www.geogebra.org/classic/wvgcwnb9

Proofs

Proof of Exterior Angle Theorem

https://www.geogebra.org/classic/hjmb3baw

 

Proofs

This applet outlines why the Euclidean Parallel Postulate
implies the existence of non congruent similar triangles.

https://www.geogebra.org/classic/vtqs4dzy

Proofs

This applet outlines why the existence on non congruent similar triangles
implies the Euclidean Parallel Postulate.

https://www.geogebra.org/classic/dzkhzcmx

 

https://www.geogebra.org/classic/t5qtgmvr

(another version)

Proofs

Proof outline that if a line intersects three parallel lines making congruent segments, then any other line intersecting them does too.

https://www.geogebra.org/classic/dzm9afmy

 

Proofs

Proof outline of the existence of the centroid and that it is 2/3 the way from vertex to midpoint (using the above result)

https://www.geogebra.org/classic/v5fq8852

 

Proofs

Proof that any two parallelograms with the same height and base length have the same area (and so it is base times height like the rectangle)

https://www.geogebra.org/classic/v5fq8852

 

Proofs

Proof of Basic Proportionality Theorem (lines parallel to a base cut a triangles sides into the same proportions)

https://www.geogebra.org/classic/gjm9dp44

 

Proofs

Proof of Two Chord Angle Theorem

https://www.geogebra.org/classic/br7pm9gc

 

Proofs

Proof of the Pythagorean Theorem using similar triangles

https://www.geogebra.org/classic/mdmk6sdy

 

Hyperbolic

The Poincare Disk Model of Hyperbolic Geometry

https://www.geogebra.org/classic/ymctzx4z

Hyperbolic

This applet shows how a geodesic is formed with inversion
in the unit disk.

https://www.geogebra.org/classic/dsbk4bzv



The following files were saved as HTML5 applets. They should work on Ipads as well as computers.

Subject

Description

HTML File

Constructions

Construction of equilateral triangle

https://www.geogebra.org/classic/kfpf3kvp

 

Constructions

Construction of a perpendicular bisector with compass and straightedge.

 

https://www.geogebra.org/classic/ehakcnmb

 

Constructions

Construction of a parallel line through a point by copying an angle.

https://www.geogebra.org/classic/eanvkcwk

Construction

Construction of a perpendicular line through a point on a line

https://www.geogebra.org/classic/qhtr8vz8

 

Construction

Euclid’s 2nd Postulate: Construcing a segment with endpoint A that is congruent to segment BC with  straight edge and collapsible compass.

https://www.geogebra.org/classic/njh9rhrv