Consider the statement for your answers in numbers 11 and 12.Given: A, C,and D are collinear in that order and AB = CD. Prove: AC = BDStatements1. A, B,C,and D are collinear, in GivenReasonsthat order.2. AB = CD3. BC = BC4. AB + BC = BC + CDGiven(11)Addition Property of Equality5. AB + BC = AC(12)BC + CD = BD6. AC = BDSubstitution Property11. What is the "reason" for step 3 of the proof?A. Commutative PropertyC. Symmetric PropertyB. Reflexive PropertyD. Transitive Propet12. What is the "reason" for step 5 of the proof?A. Angle Addition PostulateB. Segment Adition PostulateC. Commutative Property of EqualityD. Distributive Property of EqualityFor the statement in numbers 13, 14, and 15.Consider the points A, B, and C are collinear.Prove: If AB =- AC, then B is the midpoint of AC.StatementsReasons

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Consider the statement for your answers in numbers 11 and 12. Given: A,, C,and D are collinear in that order and AB = CD. Prove: AC = BD Statements Reasons 1. A, B, C,and D are collinear, in Given that order. 2. AB = CD Given 3. BC = BC (11) 4. AB + BC = BC + CD Addition Property of Equality 5. AB + BC = AC (12) BC+CD= BD 6. AC = BD Substitution Property 11. What is the "reason" for step 3 of the proof? A. Commutative Property B. Reflexive Property C. Symmetric Property 12. What is the "reason" for step 5 of the proof? A. Angle Addition Postulate C. Commutative Property of Equality D. Distributive Property of Equality B. Segment Addition Postulate For the statement in numbers 13, 14, and 15. Consider the points A, B, and C are collinear. Prove: If AB=AC, then B is the midpoint of AC. Statements Reasons D. Transitive Proper