Please prove that similar triangles can exist in Elliptic geometry while non-congruent triangles cannot.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Please prove that similar triangles can exist in Elliptic geometry while non-congruent triangles cannot.

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