Perpendicular Through a Point NOT on a Line
- Edward Knote
Explore the construction of a perpendicular line through a point NOT on a line.
Summarize the properties and construction of perpendicular lines, points, and circles. Hint: If you are not familiar with the construction steps necessary for the perpendicular line through a point NOT on the line construction, you might want to explore the applet below. Just use the buttons of the Navigation Bar in order to replay the construction steps.
Construct a perpendicular line to line AB through point C by following the construction steps provided below.
|1.||||Construct another point on line AB. (point D)||5.||||Create circle DE. (Circle e)|
|||Hint:||Be sure to test that when you move point D it stays attached to line AB.||6.||||Construct the intersection points between circles d & e. (points F & G)|
|2.||||Create circle CD. (Circle c)||7.||||Create line FG. (line g)|
|3.||||Construct the second intersection point between circle c and line AB. (point E)||||You can construct segment EF and FD to explore their relationship.|
|4.||||Create circle ED. (Circle d)||||||You can also construct segment EG and GD to explore their relationship.|