Examples

Example 1

Determine the orthogonal distance of the point P from the line .


Example 2

Draw the perpendicular bisector for the line segment AB.



If a line segment is drawn in a coordinate system, the coordinates of the segment's midpoint can also be found by calculating the mean value of the [[$ <em>x $]] and [[$ <em>y $]] coordinates of the segment's endpoints.

Example 3

Calculate the coordinates of the midpoint of line segment AB when A [[$= (-3, 2)$]] and B [[$= (5, -6)$]].


You can check the answer by drawing.

Answer: The midpoint of the line segment AB is [[$(1, -2)$]].