Which of the following is a key characteristic of 'non-Euclidean geometry'?
Practice Questions
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Q1
Which of the following is a key characteristic of 'non-Euclidean geometry'?
It is based on the parallel postulate of Euclidean geometry.
It explores geometries where the parallel postulate does not hold.
It is limited to two-dimensional shapes.
It only applies to spherical surfaces.
Non-Euclidean geometry explores geometries where the parallel postulate of Euclidean geometry does not hold, leading to different properties and structures.
Questions & Step-by-step Solutions
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Q
Q: Which of the following is a key characteristic of 'non-Euclidean geometry'?
Solution: Non-Euclidean geometry explores geometries where the parallel postulate of Euclidean geometry does not hold, leading to different properties and structures.