Segment Division

This applet shows how to divide a segment into n equal parts. A slider was used together with the segment command. This is the output of GeoGebra Tutorial 16 - Slider, Sequence, and Segment Division of the GeoGebra Intermediate Tutorial Series.  This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

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Animation and Epicycloid

Note: This is the output of the one the Math and Multimedia GeoGebra Tutorials. To view the step-by-step instructions in creating the epicycloid worksheet below click here.


Click the Play button located on the lower left of the GeoGebra window to rotate the circle with center (2,0).




















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The path traced by the red point is called the epicycloid.

Bubbles

Click the Play button located at the lower-left of the window to animate.






















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Graphs and Sliders

Move the small circles on sliders m and b. What do you observe?




















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1. How do the values of m and b affect the appearance of the graph?
2. Suppose, we can increase the value of m and b as much as we can, is it possible to plot a vertical graph?
3. Explain why your observations in 1 are such.

Notes:

1. Click here to download the ggb file.
2. Click here to read the step-by-step tutorial.
3. Click here to go to the Mathematics and Multimedia GeoGebra Tutorial Series.
4. Click here to go to Mathematics and Multimedia

Equilateral Triangle

Drag the vertices of the equilateral triangle below.

1. What do you observe?
2. Can you think of other ways of creating an equilateral triangle?

Notes:

1. Click here to download the ggb file.
2. Click here to read the step-by-step tutorial.
3. Click here to go to the Mathematics and Multimedia GeoGebra Tutorial Series.
4. Click here to go to Mathematics and Multimedia

Quadrilaterals and Midpoints

1. Use the Move tool (leftmost tool) to move the vertices of the quadrilateral. What do you observe?
2. Use the Distance tool to find the distance between the points and move the points. Do your observations hold true?
3. What conjecture can you make based on your observations?
4. Select the Angle tool (right button) and click the interior of the polygon. Does your conjecture still hold?
5.  Challenge: Prove your conjecture.

Notes:

1. Click here to download the ggb file.
2. Click here to read the step-by-step tutorial.
3. Click here to go to the Mathematics and Multimedia GeoGebra Tutorial Series.
4. Click here to go to Mathematics and Multimedia