rise \( 9 a \) Drow \( m \overline{A B}=6 \mathrm{~cm} \). Construct a perpendicular at point \( P \) on \( \overline{A B} \) such \( m \overline{A P}=2 \mathrm{~cm} \).

To tackle this construction, we start with a line segment \(\overline{AB}\) that measures 6 cm. First, draw this segment using a ruler. Next, locate point \(P\) on \(\overline{AB}\) such that the distance from \(A\) to \(P\) is 2 cm. This leaves us with a segment \(PB\) of 4 cm. Now, to construct a perpendicular at point \(P\), take a compass and place the pointer on \(P\). Adjust the compass to a convenient radius (let’s say around 3 cm), and draw arcs above and below the line segment \(\overline{AB}\). Label the intersection points of the arcs with vertical lines as points \(C\) and \(D\). Finally, use a ruler to draw line \(\overline{CD}\); this line will be your perpendicular to \(\overline{AB}\) at point \(P\). Voilà! You've successfully constructed a perpendicular line. For future constructions, remember that using consistent measurement and neat drawing techniques will help maintain accuracy. Also, keeping your compass at a steady width while drawing arcs is crucial for getting precise intersections. Happy constructing!