Perpendiculars and Distance

1
Perpendiculars and Distance

• Distance between a point and a line The
  distance from a line to a point not on the line
  is the length of the segment perpendicular to the
  line from the point.
• Equidistant A term indicating that the distance
  between two lines measured along a perpendicular
  line to the lines is always the same.

2
Perpendiculars and Distance

• Distance between parallel lines The distance
  between parallel lines is the length of the
  perpendicular segment with endpoints that lie on
  each of the two lines.
• Theorem 3.9
• In a plane, if two lines are equidistant from a
  third line, then the two lines are parallel to
  each other.

3
Example 6-1b
4
Example 6-3f