# Perpendicular Through a Point NOT on a Line

- Author:
- 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.## Task:

Construct a perpendicular line to line AB through point C by following the construction steps provided below.

## Construction Steps:

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. |