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 2. What is the "reason" for step 5 of the proof? A. Angle Addition Postulate B. Segment Addition Postulate r the statement in numbers 13, 14, and 15. C. Symmetric Property DOVE HIS C. Commutative Property of Equality D. Distributive Property of Equality D. Transitive Property

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 2. What is the "reason" for step 5 of the proof? A. Angle Addition Postulate B. Segment Addition Postulate r the statement in numbers 13, 14, and 15. C. Symmetric Property DOVE HIS C. Commutative Property of Equality D. Distributive Property of Equality D. Transitive Property

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 30E

See similar textbooks