Angle Bisector

Given: Ray PT bisects angle CPD
Move points C, D, and T by dragging them with your mouse.

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

What elements in the drawing indicate that ray PT bisects angle CPD?
When you drag point T, what do you notice about segment AT and segment BT?
When you drag point C, what do you notice about segment AT and segment BT?
When you drag point D, what do you notice about segment AT and segment BT?

Click the box next to "Show T" to hide point T and it's associate items.
Suppose you have points E, F, and Z, so that EZ = FZ, EZ is perpendicular to ray PC and FZ is perpendicular to ray PD. Click the box next to "Show Z".
Where do you think point Z should be located. Click the box to show point T again. Where you correct?


Created with GeoGebraShared by LPuffett
View as Java Applet
View as HTML5 Applet