Question: (a) Verify that the properties described in the second paragraph of this Topic as invariant under distance-preserving maps are indeed so. (b) Give two more

(a) Verify that the properties described in the second paragraph of this Topic as invariant under distance-preserving maps are indeed so.
(b) Give two more properties that are of interest in Euclidean geometry from your experience in studying that subject that are also invariant under distance-preserving maps.
(c) Give a property that is not of interest in Euclidean geometry and is not invariant under distance-preserving maps

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