Copying an angle is a fairly simple construction. Follow these steps to copy the given angle.[br][br][list=1][*]Select the compass tool. Click on point A and then point C. Center your circle on point A by clicking point A again.[/*][*]Use a point to mark the intersection of your circle with the bottom ray of your angle. This should be point F.[/*][*]Select the compass tool again. Click on point A and then point C. This time, center your circle on point D by clicking point D.[/*][*]Use a point to mark the intersection of this new circle with your ray that starts at point D.This new point should be point G.[/*][*]Select the compass tool one last time. Click point C and then point F. Center this circle at point G.[/*][*]Use a point to mark the intersection of your new circle with the circle centered at point D.[/*][*]Draw a ray from point D to the intersection point you just marked. [/*][/list]You've now copied an angle! If you click and drag point C, you should see your new angle below move as well. This is a way to test your construction.
An angle bisector cuts an angle into two congruent angles. We are going to construct an angle bisector of the angle below.[br][br][list=1][*]Select the compass tool. Click point A, then click point B. Center your circle at point A by clicking point A.[/*][*]Mark the intersection of your circle with the bottom ray of your angle. This should be labeled point D.[/*][*]Select the compass tool. Click on point B, then click point D. Center this circle at point B.[/*][*]Select the compass tool again. Click point B, then click point D. This time, center the circle at point D.[/*][*]Mark the intersection of these two circles with a point. This point should be in the interior of your angle and should be called point E.[/*][*]Use the ray tool to make a ray starting at point A and going through point E. This ray is your angle bisector.[/*][/list]Congrats! You just bisected an angle. When you move point B, you should see your whole construction move with it. The key is, that the ray from D to E should always be in the middle of your angle.