Question: a) State two different equivalent statements of the Euclidean Parallel Postulate. What is the importance of the parallel postulate in geometry? b) It can be

a) State two different equivalent statements of the Euclidean Parallel Postulate. What is the importance of the parallel postulate in geometry?

b) It can be said that reflections are the most important isometries in both Euclidean and non-Euclidean geometry. Why is that?

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