Construct a line perpendicular to a line that passes through a point, with compass and straightedge

(For assistance see www.mathopenref.com/constperpextpoint.html)

1. | Construct a line perpendicular to the one below that passes through the point P |

2. | (a) | Construct a line perpendicular to AB through P, and another line perpendicular to CD also through P |

(b) | What is the name of the resulting 4-sided shape? Measure its side lengths with a ruler and calculate its area. |

(C) Copyright John Page 2007