Angle Bisector

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