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Lines lm and ln lie in the plane x and intersect one another on the perpendicular at point P. Which of the following statements must be true? I. A line which lies in plane x and intersects line lm on the perpendicular at a point other than P does not intersect ln II. Line segment MN, which does not intersect lm, does not intersect ln. III. If line lo lies in plane y and intersects lm and point P, plane y is perpendicular to plane x.
A) I only B) II only C) I and II only D) I and III only E) I, II, and III