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Interactive Geometry Tools
Interactive geometry tools are programs that let learners construct and manipulate geometric figures on screen while the relationships between their parts are preserved. When a point or line is dragged, the rest of the figure updates instantly, so a student can see which properties stay the same and which change. This dynamic behaviour makes geometric theorems visible and turns abstract statements into something that can be tested by experiment.
Many tools focus on the classical geometry of triangles and circles. A learner can construct a triangle and watch features such as its angles, its circumcircle, or special points associated with it move as the vertices are dragged. Because the construction follows precise rules, the tool demonstrates that a theorem holds for every shape of triangle, not just one drawn by hand. Similar tools explore circles, polygons, and the constructions that connect them.
Other tools extend interactivity to functions and surfaces. Graphing applets plot curves defined by equations and let users adjust parameters to see how the shape responds, while three-dimensional tools display surfaces that can be rotated and viewed from different angles. These visual aids support analysis by showing features such as maxima, minima, and the overall form of a function. By combining accurate construction with free experimentation, interactive geometry tools help learners build a strong intuition for shape and space.
Frequently asked questions
- What makes geometry software dynamic?
- When a point or line is dragged, the whole construction updates while keeping its defined relationships, so learners see which properties stay constant.
- What is a circumcircle?
- It is the circle that passes through all three vertices of a triangle; dynamic tools show how it changes as the triangle is reshaped.
- How do graphing tools help understand functions?
- They plot curves from equations and let users change parameters, revealing features such as maxima, minima and the overall shape of the function.
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Geometry
animations - general overview 
related subject: Geometry calculators |
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Circle Theorems Circle Theorems |
| Euclid's
elements java applets to illustrate geometry
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Euler line and medial (aka nine-point) circle Euler line and medial circle |
| Famous
curves - java astroid, cardioid, catenary, Cayley's sextic, circle, cissoid of Diocles, cochleoid, cycloid, Devil's curve, double folium, eight curve, ellipse,
epicycloid, epitrochoid, equiangular spiral, Freeth's nephroid, frequency curve, hyperbola, hyperbolic spiral, hypocycloid, hypotrochoid, kampyle of Eudoxus,
Kappa curve, lemniscate of Bernoulli, limacon of Pascal, lissajous curves, Lituus, Neile's parabola, nephroid, plateau curves, Pursuit curve,
quadratrix of Hippias, Rhodonea curves, right strophoid, serpentine, sinusoidal spirals, spiral of Archimedes, Talbot's curve, tractrix,
tricuspoid, trident of Newton, trifolium, trisectrix of Maclaurin, Tschirnhaus' cubic, Watt's curve, witch of Agnesi
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| Gallery of interactive
on line geometry hyperbolic triangles, Lorenz simulation, one dimensional iteration, tetris,
leap fractal, fractals from iterated function systems, wallpaper patterns |
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Geometrie
in German |
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Géométrie en Français |
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Géométrie des
figures mobiles en Français |
| Geometrie.net |
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Geometry
A series of Applets used to introduce students to basic geometric
constructions as well as several classic theorems. Covers Euclidean,
hyperbolic and spherical geometries |
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Geometry center
java applets, mathematics, physics, rainbow, integrator, software java download |
| Geometry
solutions geometry solutions is a sophisticated calculator that calculates the
perimeter, lateral and surface areas, and volume of plane and solid geometric figures, the formulas used to calculate the perimeter and area
of each kind of geometric figure is also given
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| Mathematics
applets sum of angles in a triangle, Thales' circle, special lines and circles in a triangle, center of mass in a triangle, cyclic quadrilateral, angles at the
circle, pythagorean theorem, platonic solids, spherical geometry, spherical triangle, trigonometry, sine, cosine and tangent of an angle,
vector analysis, components of a vector, first and second derivative of a function,
Educypedia |
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Miquel circles |
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Meetkundig vademecum stelling van Aubel, stelling van (Napoleon) Barlotti, Carnot, Desargues, rechte van Euler, rechthoek van Fibonacci, gelijkvormige figuren,
homothetie, driehoek en de ingeschreven cirkel, stelling van Johnson, keverkromme, de Limaçon van Pascal, middelloodlijnen en de omgeschreven
cirkel, de negenpuntscirkel, rotaties of draaiingen, spiegeling ten opzichte van een rechte, Pythagoras, translatie of verschuiving, stelling
van Viviani, de rechte van Wallace, het zwaartepunt van een driehoek, regelmatige achthoek of octagon
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The world of geometric modeling |
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Triangle Geometry
Types of Triangles, Basic facts, Points, lines and circles associated with a
triangle, Computing the area of a triangle, Using vectors, Using
trigonometry, Using coordinates, Using Heron's formula, Non-planar triangles |
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Triangle Geometry
A Tour of Triangle Geometry, pdf file |
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Visual calculus |
| Geometry animations and java applets:
topics |
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Analytic geometry: straight lines in 3-space |
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Bezier curves This applet shows cubic Bezier curves defined by a
sequence of control points |
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Bezier Curves How Bezier Curves work |
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Bezier Curves |
| Center of mass in a
triangle center of mass in a triangle |
| Cercle
trigonométrique en Français |
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Circle geometry
1 |
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Circle geometry 3 |
| Circle of
curvature the circle of curvature is a circle that "fit" the curve at a point. If the curve is turning sharply, the radius of curvature
is small and if the curve is turning slowly, the radius of curvature is large |
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Conic sections Parabola curve, ellipse curve, hyperbola curve |
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Conic sections Parabola curve, ellipse curve, hyperbola curve,
down? |
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Cycloïde - hypocycloïde en Français |
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Cycloid
Cycloid animation and construction |
| Cycloids
cycloids emerge as the paths traced out by the motion of points fixed on a disk which rolls on a stright line |
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Cycloids
Geometric Properties of the Cycloids |
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Ellipse avec une ficelle en Français |
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Ellipse |
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Ellipse |
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Ellipse |
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Ellipse ellipse curve, x2/a2 + y2/b2 = 1, x = a cos(t), y = b sin(t) |
| Ellipse and hyperbola |
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Ellipses & Circles |
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Ellipse, Scheitelkreiskonstruktion |
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Euler line of a triangle The Euler Line of a Triangle, The centroid G of
the triangle, circumcircle and the circumcenter, altitudes and the
orthocenter, Euler line OGH of the triangle |
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Exploring
Ellipses and Hyperbolas |
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Hyperbola |
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Hyperbola - applet equation and properties of a hyperbola |
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Hyperbola hyperbola curve |
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Hyperbola hyperbola curve |
| Hypersurfaces
plots hypersurfaces etc. in space-time of dimension 4 |
| Inscribing a
polygon learn about inscribing a regular polygon in a circle
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Lissajous
lissajous curves |
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Midpoint between two
locations Midpoint between two locations |
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Mohr's Circle |
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Natural cubic splines |
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Orthocentric sets |
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Parabola
Explorer |
| Parabool
Y = a(x-p)2 + q
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| Parabool/Lijn = ?
een parabool, een lijn en de resultaatgrafiek als je deze twee functies op
elkaar deelt, in Dutch |
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Parabola |
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Parabola
y = ax2 + bx + c |
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Parabola
Parabolas in Vertex Form, Exploring families of parabolas |
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Parabola
Similarity of parabola |
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Parabola |
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Parabola |
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Parabola |
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Parabola
A parabola is the locus of a point which moves so that its distances from a
fixed point (the locus) and a fixed straight line (the directrix) are the
same, ... |
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Parabola
Parabola construction |
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Parabola Constructed from the Focus a Tangent and the Point of Constact |
| Parabolas
explore the properties of parabolas through a geometric perspective within your browser window
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| Parallelograms
a parallelogram is a quadrilateral that has two pairs of parallel sides
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Pedal curve |
| Planes in 3-space
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| Pythagoras
theorem
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| Pythagorean
theorem |
| Slope
comparison |
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Spirograph
a Spirograph is a curve formed by rolling a circle inside or outside of
another circle |
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Spirograph
Spirograph java applet |
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Stereo
icosahedron This icosahedron is constructed as a stereopair, with the
red image designed to be viewed with your left eye and the blue image with
your right |
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Three-bar mechanism curve |
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Triangle
special lines and circles in a triangle |
| Triangle
inscribed in circle |
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Triangel relations |
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Twin Circles of
Archimedes |
| Zooming
in on a tangent line
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Last updated on:
2026-06-24
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