Final answer:
To construct a line tangent to circle O that passes through point P outside the circle, follow these steps: 1. Set the compass width to the radius of circle O. 2. Draw a line from the center, O, to the given point P. 3. Make an arc that intersects the circle to create point N. 4. Draw the tangent line from P to N. 5. Construct the perpendicular bisector of the segment to find the midpoint.
Step-by-step explanation:
- From m, set the compass width to the radius of circle O.
- Draw a line from the center, O, to the given point P.
- Make an arc that intersects the circle to create point N.
- Draw the tangent line from P to N.
- Construct the perpendicular bisector of the segment to find the midpoint.