McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
7. Spherical Geometry
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Exercise 10 Page 859

In spherical geometry, a line is defined as a great circle of the sphere, a segment is a part of a line that connects two points, and a triangle is defined by three segments.

Example Lines: CB and GQ
Example Segment: GL
Example Triangle: â–łCDF

Practice makes perfect

In spherical geometry, a line is defined as a great circle of the sphere. Just as in Euclidian geometry, a segment is a part of a line that connects two points. Moreover, a triangle is defined by three segments. With these definitions in mind, let's consider the given sphere.

We can see that two lines containing point M are CB and GQ.

A segment containing point S is GL.

A triangle in the sphere is â–łCDF.

Please note that these are only some examples of the many possible answers.