Which of the following statements from Euclidean geometry is also true of spherical geometry?

a. A line has infinite length.
b. Two intersecting lines divide the plane into four regions.
c. Two perpendicular lines create four right angles.
d. The intersection of two lines creates four angles.

B?

(C)is the right answer that two perpendicular makes four ninety degree angles

In order to determine which statement from Euclidean geometry is also true of spherical geometry, let's analyze each option:

a. A line has infinite length:
In Euclidean geometry, a line is considered to be infinitely long. However, in spherical geometry, a line corresponds to a great circle on the surface of a sphere. Great circles are finite in length and can be thought of as the intersection of the sphere with a plane that passes through its center. Therefore, option a is not true in the context of spherical geometry.

b. Two intersecting lines divide the plane into four regions:
This statement is true in both Euclidean geometry and spherical geometry. When two lines intersect in two-dimensional space, they divide the plane into four regions or quadrants. Hence, option b is true for both geometries.

c. Two perpendicular lines create four right angles:
In Euclidean geometry, when two lines are perpendicular, they form four right angles. However, in spherical geometry, the concept of perpendicularity differs. On the surface of a sphere, two lines are considered perpendicular if they intersect at a right angle with respect to the sphere's center. Nonetheless, due to the curved nature of a sphere, the intersection of two perpendicular lines on its surface does not form four right angles. Therefore, option c is not true in spherical geometry.

d. The intersection of two lines creates four angles:
This statement is true in Euclidean geometry as well as spherical geometry. When two lines intersect, they create four angles around the intersection point. These angles can be classified as interior angles or exterior angles, depending on their position relative to the intersecting lines. Hence, option d is true for both geometries.

Based on the analysis, the statement "Two intersecting lines divide the plane into four regions" (option b) is the correct answer, as it is true in both Euclidean geometry and spherical geometry.