Perpendicular Through a Point on a Line
- Edward Knote
Explore the construction of a perpendicular line through a point on a line.
Summarize the properties and construction of perpendicular lines, points, and circles. Hint: If you are not familiar with the steps necessary for constructing a perpendicular line through a point on that line, 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 on line AB. (point D)||5.||||Construct a circle with the center at point E and radius of g+.5. (circle d)|
|||Hint:||Be sure to test that when you move point D it stays attached to line AB.||6.||||Construct a circle with the center at point D and radius of g+.5. (circle e)|
|2.||||Construct a circle centered at C and through point D. (Circle c)||7.||||Construct the intersection points between circles d & e. (points F & G)|
|3.||||Construct the intersection point between circle c and line AB. (point E)||8.||||Construct line GF. (line h)|
|4.||||Construct a segment from point C to D. (segment g)||||||You can construct segment EF and FD to explore their relationship.|