Investigating Geometry with GeoGebra

Henrico County Public Schools

Can points equidistant from A and B be found in every quadrant?

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.

Verify that P = (1,-1) is the same distance from A = (5,1) as it is from B = (-1,3).

It is customary to say that P is equidistant from A and B.

Find three more points that are equidistant from A and B.

By the way, to "find" a point means to find its coordinates.

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