Question

Postulate A: If A, B, and C are non-collinear points, then AC < AB + BC. Let's define a new axiomatic system by using Postulates 1-9 of neutral geometry and

then adding on Postulate A at the end. We'll call this Covid geometry. (a) Is the axiom system for Covid geometry consistent? Explain your answer. (b) Is each of the axioms of Covid geometry independent of those that came before? Ex-plain your answer.

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