Investigating Geometry with GeoGebra

Henrico County Public Schools

Can you find points the same distance between two points?

READ the instructions on the right and INTERACT with the GeoGebra applet below.

Sorry, the GeoGebra Applet could not be started. Please install Java 1.4 (or later) to use this page.

Investigation Steps

Click on the reset icon icon to reset the diagram.

Be sure to show diagrams, explain why and make specific references to what happened when you constructed your solution.

Give an example of a point that is the same distance from (3, 1) as it is from (7, 1).

Find lots of examples.

Describe the configuration of all such points.

In particular, how does this configuration relate to the two given points?

Use the text tool, text tool to measure the length of the segment AB by typing the following
"AB = " + distance[A, B].

Now, use the move tool (arrow icon) to change the location of points A and B. Notice the change in the distance between them.