Earlier in this course. you explored Euclidean geometry hich is the study of flat space This approach follows the teachings of Euclid in which he describes the relationships between points lines and planes without any numerical measurement. You saw evidence of Euclidean geometry inside several proofs and geometric constructions In contrast, the tocus of this unit is understanding geometry using positions of points in a Cartesian coordinate System. The study of the relationship between algebra and geometry was pioneered by the Frenc mathematician and philosopher. Rene Descartes. In fact, the Cartesian coordinate system is named after him. The study of geometry that uses coordinates in this manner is called analytical geometry. It's clear that this course teaches a combination of analytical and Euclidean geometry. Based on your experiences so far, which approach to geometry do you prefer? Why? Which approach is easier to extend beyond two dimensions? What are some situations in which one approach to geometry would proe more beneficial than the other? Describe the situation and why you think analytical or Euclidean geometry is more applicable.