1. The branch of geometry which deals with a system of points, great circles (lines), and spheres (planes) is ____________ geometry. A. Euclidean B. coordinate C. spherical D. plane Hint 2. Which statement does NOT hold true in spherical geometry? A. An arc of a great circle is the shortest path between two points. B. There is a unique great circle passing through any pair of nonpolar points. C. A great circle is finite and returns to its original starting point. D. If three points are collinear, exactly one is between the other two. Hint 3. Which statement from Euclidean geometry is true in spherical geometry? Assume spherical points are restricted to be nonpolar points. A. Two perpendicular lines create four right angles. B. A line has infinite length. C. Any two distinct points determine exactly one line. D. Two lines perpendicular to the same line are parallel to each other. Hint 4. A(n) ______ is the shortest path between two points in spherical geometry. A. sphere B. arc of a great circle C. segment D. line Hint 5. Which statement is not true? A. M, N, and P all lie on the same great circle. B. P is not between M and N. C. M is between N and P D. N is between P and M Hint