# Perpendicular Through a Point on a Line

- Author:
- 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.## 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. |

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