Sum of the Coordinates

Move Points P and Q.




















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What do you observe about the points with respect to the origin?

Circumcircle and Incircle of a Triangle

This GeoGebra worksheet below shows that in a triangle, you can always create an incircle (a circle inside the triangle tangent to the tree sides) and a circumcircle (circle passing through the three vertices).

Drag the vertices of the triangle and observe what happens.



You can download the ggb file here and the tutorial how to construct it here.

Triangle Inequality

Move sliders a, b and c and observe what happens.

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1. What are the conditions when a triangle is formed?
2. Explain why the three inequalities in the applet must be true for a triangle to exist.

Introducing the concept of function

This activity can be used to introduce the concept of function. Click here to view post on teaching function using this activity.

Activity

Move C along GC.
1. Are there ways of predicting the values of the changing quantities if you know the lenght of GC? You may want to make a table of values for GC vs the changing quantity.
2. Write a formula for determining the values of the changing quantities if GC is known.

(If you want to view the grid, click the View button in the menu then check 'show grid'.)

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)