1. which statement below is true for hyperbolic geometry?
answer: d
the sum of the measures of the angles in a triangle is always less than 180 degrees.
2. identify the statement that is true in spherical geometry.
answer: d
the sum of the measures of the angles of a triangle is greater than 180.
3. what can be said about the vertices of an equilateral triangle drawn in poincaré’s system?
answer: b
the vertices are equidistant from the center of the circle.
4. satellites sputnik, yeltsin, and plekov often temporarily line up in order in a great circle. the circumference of the earth is 24,900 miles, and the satellites orbit at about 150 miles above the surface. if, while in a great circle, sputnik is 9,000 miles from yeltsin, and yeltsin is 10,500 miles from plekov, how far apart are sputnik and plekov?
answer: b
6,342 miles
5. identify the statement that is true in spherical geometry.
answer: d
two distinct lines intersect in two points.