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As we saw at school , is not so easy to make such an drawing . As Valentina said would be quite nice to do our howeworks in this way. Maybe after another one hundred years homework will be solved like this .

Posted on 22/03/11 18:56.

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For me GeoGebra is a very good program because we can with it to learn very easy math.

Posted on 23/03/11 15:21.

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The same as Bogdan, I would like to tell you that I love this program, GeoGebra. I think that GeoGebra is a very useful program, because it helps us to learn very easy math , and because it shows us the funny part of math.

Posted on 26/03/11 11:54.

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The incenter is I,the internal angle bisectors are FBI EAI and DCI,the points where the circle touchs the triangle are: E,D,F and the radius is ID

Posted on 31/03/11 11:57.

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Perfect answer , Pedro!

Posted on 01/04/11 18:01 in reply to Pedro Moreno.

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Good job Pedro, go for the next task.

Posted on 02/04/11 18:37 in reply to Pedro Moreno.

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The game is Very fun!

Posted on 07/04/11 11:54.

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Blog
Regular Covering of The Plane, 5th Spanish Task
REGULAR COVERING OF THE PLANE - GeoGebra Hoja Dinámica

REGULAR COVERING OF THE PLANE

The plane can be regularly covered by only three regular polygons: an equilateral triangle, a square or a hexagon.
Now you are going to see it and you will know the reason.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

1. The screen is divided in three parts.
We are going to cover each of them with three polygons that you will find in the toolbar.

( We must show the points of the polygons on another polygon constructed previously, an anticlockwise direction)

2. Do you know how long the interior angles of each figure are?

Interior angle of the equilateral triangle:
Interior angle of the square:
Interior angle of the hexagon:

If you don´t know it you can measure them with the tool angle.

3. Look at the different mosaics:

a) In the mosaic of equilateral triangles:
How many triangles match up the same vertex?

b) In the mosaic of squares:
How many squares match up the same vertex?

c) In the mosaic of hexagons:
How many hexagons match up the same vertex?

4. Are the angles of paragraph 2 related with the angle of 360 degrees?

Help: Look at the result of paragraph 3.

5. Find out if there is another regular polygon that achieves this. Why?

Yolanda Baena Muñoz, Creación realizada con GeoGebra

Circumcircle 4th Spanish Task

Circumcircle

Here you can see a triangle and the three perpendicular bisector of the sides. The three perpendicular bisectors meet in a single point, the triangle's circumcenter; this point is the center of the circumcircle or circumscribed circle, the circle passing through all three vertices.
You can move the three vertices and watch what happens to the circumcenter.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

When you move some of the vertices the circumcenter and the circumcircle change, but the points where the circumcircle touch the triangle are always the same, what are their names?

Celia Díaz, Created with GeoGebra

The Cube _Third Spanish task

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron.

You can use the upper slide to get the lateral development of the figure, and the slide on the left to change the scale. Also you can move two points, the red one to move the figure and the white one to change the size of the edge. Move all four them to get familiar with the cube.
 

Questions:

A) How many colours do you need so that two adjacent faces have not the same colour? Explain your answer.
B) How many different axis of symmetry can you find? Explain the answer. Draw them and make screen captures.

C) Use the lateral development to count the sides that the cube has.
D) How many vertexs and edges are there?
E) Look for information about the Euler formulae and check it if it is true here.
F1) For a specific size of the edge, Calculate the perimeter of a side, the area of a side and the volume of the cube.
F2) Repeat those calculations when you duplicate and triple the size of the edge.
F3) Check the answers in F1 and F2. What do you observe?

G) Image an inscribed sphere, which is its radius? Which is its volume?
H) Image a circumscribed sphere, which is its radius? Which is its volume?
I) Calculate the length of the diagonal of a side when the edge is 10 cm.
J) Calculate the length of the diagonal of the cube when the edge is 30 cm.

 

pff, Creación realizada con GeoGebra

another success

 Your last project is incredible!I noticed that you put more emphasis on practice.With this method, students learn much faster and more efficiently.I really like your way of learning.You are very good of this.I should commend the castle,the giant castle of pics.Is the most beautiful i've seen.Bravo again!!

Symmetry on Royal Alcazar Palace

Symmetry on Royal Alcazar Palace

 

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Here you can see point symmetry, line simmetry, translation and rotation.

Marilena Faiciuc, Creat cu GeoGebra

Point Symmetry

Point Symmetry

Point Symmetry

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

An object is symmetrical about the point O if the distance of any point on the object from the center O is same as the distance from the corresponding point on the symmetrical object. Point A and A’ are equidistance from O.

Marilena Faiciuc, Creat cu GeoGebra

The incircle or inscribed circle of a triangle- Romanian task
The incircle or inscribed circle of a triangle - Geogebra Foaie de lucru dinamică

The incircle or inscribed circle of a triangle

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

The incircle or inscribed circle of a triangle is the largest circle contained in the triangle. It touches (is tangent to) the three sides. The center of the incircle is called the triangle's incenter which can be found as the intersection of the three internal angle bisectors.
It this picture fiind the incenter, the three angle bisectors and, the points where the circle touch the triangle and the radius of the incircle (also known as the inradius, r )

Marilena Faiciuc, Creat cu GeoGebra

Types of Triangles (Second Spanish Task)



 

Type of Triangles

Move the points of each triangle to answer the below questions.
Click on the upper right corner to start the scene.

A) What is the type of the first triangle ?
B) And the second?
C) And the third one ?
D) What about the last one?

Maths everywhere (First Spanish task)

Here you can see the plan of a home. In this activity you must find the geometrics elements listed on the right. Once you find them, mark the box to check it.

Make a list of other items you found and not in the list. Add a comment and discuss your response.

 

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