Construct a Tangent to a Circle
Recall that in a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius at the point of tangency.
- Find the midpoint. Given circle and point , draw . Construct a perpendicular bisector of and label the point .
- Draw circle . Construct circle with radius . Label the points where the two circles intersect as point and point respectively.
- Construct tangents. Draw lines and . These lines are both tangent to circle and pass through point .