Question: help get this comparisons as well as an explanation if possible. Euclidean Geometry on Plane Hyperbolic Geometry Saddle Shape Poincare Disc model Parallel and Perpendicular

help get this comparisons as well as an explanation if possible.

Euclidean Geometry on Plane Hyperbolic Geometry Saddle Shape Poincare Disc model Parallel and Perpendicular Lines 1. Can 2 lines be parallel? Parallel and Perpendicular lines 1. Can 2 lines be parallel? Can more than 2 lines be 2. How many points can 2 lines share? parallel? 3. Vertical angles formed by intersecting lines 2. How many points can 2 lines share? are congruent. 4. A pair of perpendicular lines intersects once 3. Vertical angles formed by intersecting lines are congruent? and forms 4 right angles. 4. A pair of perpendicular lines intersects and 5. 2 intersecting lines do not have a common forms angles. perpendicular line. 5. 2 intersecting lines do have 6. Parallel lines have infinitely many common common perpendicular lines perpendiculars

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