1. Problem statement: You are given a line segment AB of length 6 cm. 2. Mark a point P near the midpoint of AB using a ruler. 3. To construct a perpendicular line from P to AB with a compass and ruler, follow these steps: 4. Place the compass point on P and draw an arc that intersects AB at two points, call them C and D. 5. Without changing the compass width, place the compass point on C and draw an arc above AB. 6. Repeat the same with the compass point on D, drawing an arc that intersects the previous arc at point E. 7. Draw a straight line from P through E; this line is perpendicular to AB at P. This construction ensures a perpendicular line from point P to line AB using compass and ruler. The length of AB is 6 cm as required, P is near the midpoint, and the perpendicular is constructed accurately.