and 55 points! which statement below is true for hyperbolic geometry? a. there are no parallel lines in hyperbolic geometry. b. if a line intersects one of two parallel lines, it will intersect the other. c. two lines parallel to a third line are parallel to each other. d. the sum of the measures of the angles in a triangle is always less than 180 degrees. identify the statement that is true in spherical geometry. a. two distinct lines intersect in at most one point. b. through any three points there is exactly one line. c. if two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. d. the sum of the measures of the angles of a triangle is greater than 180. what can be said about the vertices of an equilateral triangle drawn in poincaré’s system? a. each of the angles formed at the vertices equals 60 degrees. b. the vertices are equidistant from the center of the circle. c. the vertices always lie on the circle. d. none of these 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? a. 6,063.3 miles b. 6,342 miles c. 25,842 miles d. 25,371 miles identify the statement that is true in spherical geometry. a. two coplanar lines that are perpendicular to the same line are parallel to each other. b. the shortest distance between two points is a segment. c. of any three points on a line, exactly one of the points is between the other two. d. two distinct lines intersect in two points.