3.1 Thm1 Proof

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3.1 Overhead- The Betweenness of Points Theorem: If A-B-C, then AB + BC = ACGiven:If A-B-CProve: AB + BC = ACProof for case in which a < b < c:StatementsReasons A-B-Ca < b < cAB = b - aBC = c – bAB + BC = (b – a) + (c – b) = c – aAC = c – aAB + BC = AC1.2.3.4.5.6.

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