If you have tried to draw a diagram starting with the given line and points and can't, then I suggest that you draw a diagram starting with the desired construction and going backward.
That is, draw a circle, then a tangent line to the circle, then a line perpendicular to the tangent line and going through the circle. Call the tangent line l and call the points of intersection of the perpendicular line with the circle A and B.
Best wishes, Mary Krimmel
At 02:32 AM 10/14/03 -0400, you wrote: >Can someone please explain to me how this is possible because I can't >picture it myself. If A, B are points on the same side of line l and >suppose that AB is perpendicular to l. How do we peove that a circle >may be constructed passing through A and B and tangent to line l. >PLease help explain this to me.