## Thursday, September 29, 2011

### Dice Rolling Simulation

1.) Roll the dice 20 times by clicking the command button and record the sums. What do you observe?
2.) Roll the dice 30 times more. Is your observation still the same?
3.) Which of the sums has the most number? has the least number?
4.) Explain why this is so.

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
I have written about dice rolling,  and experimental and theoretical probablity in Math and Multimedia.

## Friday, September 23, 2011

### Random segments on a grid

Problem: Suppose the endpoints of a line segment are determined by the uniform random selection of two points on a 12 x 12 grid in a square. Now repeat this to randomly determine a second line segment. What is the probability that these two segments cross, i.e. have a point in common?

To Simulate: Move the slider to select speed.

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

More than 50 GeoGebra tutorials at Math and Multimedia

## Tuesday, September 20, 2011

### Perpendicular to a point on the line

Given a point on a line, construct a line perpendicular to it.

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)

More than 50 Step by Step GeoGebra Tutorials at Math and Mutlimedia

## Saturday, September 17, 2011

### Properties of Similar Triangles

1.) Check the check boxes and see the relationship between the triangles. What do you observe?
2.) Move the verticles of the smaller triangle. Are your observations still the same?

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)

There is a discussion about similar triangles and their properties (part 1 and part 2) in my main blog, Mathematics and Multimedia.

## Tuesday, September 13, 2011

### Constructing Similar Triangles

1.) Move the slider to the right to construct a triangle similar to triangle ABC.
2.) Using the tools on the toolbar to compare the measure of the interior angles, side lengths, and areas of the two triangles. What do you observe?

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)

3.) Move the vertices of triangle ABC. Do your observations still hold?

## Saturday, September 10, 2011

### Translation of Function

Move vector u to translate the function.

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)

## Wednesday, September 7, 2011

### Parallelogram Area Proof

1. Move H to the rightmost part of the segment.
2. What is the relationship between the area of the parallelogram to the area of the rectangle? Why?

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)

This applet illustrates that the area of a parallelogram is equal to the product of its base and its altitude.

## Sunday, September 4, 2011

### The Kite Polygon

Move points A, D, or O to change the shape and position of the kite.

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)

A kite is a parallelogram whose four sides can be grouped into two pairs of equal-length sides that are next to each other.