AMSCO'S Geometry. New York - Rye High School

Review Exercises 331. Draw a point on your sphere. How does this point compare to a point inEuclidean geometry?2. The shortest distance between two points is called a geodesic.InEuclidean geometry, a line is a geodesic. Draw a second point on yoursphere. Connect the points with a geodesic and extend it as far as possible.How does this geodesic compare to a line in Euclidean geometry?3. Draw a second pair of points and a second geodesic joining them on yoursphere. The intersection of the geodesics forms angles. How do theseangles compare to an angle in Euclidean geometry?4. Draw a third pair of points and a third geodesic joining them on yoursphere. This will form triangles, which by definition are polygons withexactly three sides. How does a triangle on a sphere compare to a trianglein Euclidean geometry? Consider both sides and angles.