All the line segment that can be drawn to a given line; from a point;not lying on it; the perpendicular line segment is the shortest.

Of all the line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest. GIVEN : A straight line l and a point P not lying on ldot P M_|_l and N is any point on 1 other than Mdot TO PROVE : P M

Two perpendiculars can be drawn to a given line from a point not lying on it.

Show that of all line segments drawn from a given point not on it,the perpendicular line segment is the shortest.

Show that of all line segments drawn from a given point on a given line, the perpendicular line segment is the shortest.

A line segment.___

Only one perpendicular bisector can be drawn to a given line segment.

How many line segments can be drawn with any two of the points as end points?

To divide a line segment in a given ratio.

To construct the perpendicular bisector of a given line segment.