Given: Circle A externally tangent to Circle B. Which of the following best describes the relationship between line r and am ?

The line r and the segment AM are perpendicular.
Suppose you have a circle with center O, and a line r tangent to the circle in point P. Then, the line is perpendicular to the radius OP.
In this case, the line r is tangent to the circle in point M, and AM is the radius of the circle that is perpendicular to the line.