Move point C above until the length of CD is the shortest. Notice the angle measure that results. Then, complete the conjecture and add to your vocabulary list.[br][br]Shortest Distance Conjecture: The shortest distance from a point to a line is measured along the ___________________________ segment from the point to the line.

Line CM the perpendicular bisector of segment AB. Move point C along the perpendicular bisector. Then, complete the following conjecture and add to your vocabulary list.[br][br]Perpendicular Bisector Conjecture: If a point is on the perpendicular bisector of a segment, then it is ___________________________ to the endpoints of the line segment.

Ray FK is the angle bisector of angle LFN. Segments KL and KN are the shortest distances from point K to the sides of the angle. Move point K around. Then, complete the following conjecture and put in your vocabulary.[br][br]Angle Bisector Conjecture: If a point is on the angle bisector of a segment, then it is ______________________ to the sides of the angle.