Question 115
Suppose you have only an unmarked straightedge (no compass), and you are given a line segment $A B$ with midpoint $O$ and a point $P$ not on line $A B$.
a. Construct a line through $P$ parallel to $A B$.
b. If you are also given the circle with center $O$ and radius $O A$ and $P$ does not lie on the circle, construct a line through $P$ perpendicular to $A B$.
a. Construct a line through $P$ parallel to $A B$.
b. If you are also given the circle with center $O$ and radius $O A$ and $P$ does not lie on the circle, construct a line through $P$ perpendicular to $A B$.