Perpendicular Through a Point on a Line
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.
Task:
Construct a perpendicular line to line AB through point C by following the construction steps provided below.
Construction Steps:
| 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. |