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For Exercises 1-12, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 1. If a = b, thenb = a. A. Addition Property of Equality %3D 2. If a = b, then ac = bc. B. Subtraction Property of Equality 3. AB = AB C. Multiplication Property of Equality 4. a = a D. Division Property of Equality 5. If a = b, then a +c = b+ c. E. Reflexive Property of Equality F. Symmetric Property of Equality 6. a(b + c) = ab + ac 7. If a = band b = c, then a = c. %3D G. Transitive Property of Equality 8. If LP LQ, then LQ= LP. H. Substitution Property of Equality 9. If LA LB and LB = LC, then LA LC. I. Distributive Property J. Reflexive Property of Congruence K. Symmetric Property of Congruence 10. If a = b and c + 0, then =. 11. If a = b, then b can be substituted for a in any expression. L. Transitive Property of Congruence 12. If a = b, then a - c = b - . !! 13 Cali megsures hor toxthe

For Exercises 1-12, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 1. If a = b, thenb = a. A. Addition Property of Equality %3D 2. If a = b, then ac = bc. B. Subtraction Property of Equality 3. AB = AB C. Multiplication Property of Equality 4. a = a D. Division Property of Equality 5. If a = b, then a +c = b+ c. E. Reflexive Property of Equality F. Symmetric Property of Equality 6. a(b + c) = ab + ac 7. If a = band b = c, then a = c. %3D G. Transitive Property of Equality 8. If LP LQ, then LQ= LP. H. Substitution Property of Equality 9. If LA LB and LB = LC, then LA LC. I. Distributive Property J. Reflexive Property of Congruence K. Symmetric Property of Congruence 10. If a = b and c + 0, then =. 11. If a = b, then b can be substituted for a in any expression. L. Transitive Property of Congruence 12. If a = b, then a - c = b - . !! 13 Cali megsures hor toxthe

Elementary Geometry For College Students, 7e
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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For Exercises 1-12, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 1. If a = b, then b = a. F A. Addition Property of Equality 2. If a = b, then ac = bc. B. Subtraction Property of Equality 3. AB = AB C. Multiplication Property of Equality 4. a = a D. Division Property of Equality 5. If a = b, then a +c = b + c. E. Reflexive Property of Equality 6. a(b + c) = ab + ac F. Symmetric Property of Equality 7. If a = band b = c, then a = c. G. Transitive Property of Equality 8. If LP = LQ, then LQ= LP. H. Substitution Property of Equality I. Distributive Property 9. If LA = LB and LB = LC, then LA = LC. J. Reflexive Property of Congruence K. Symmetric Property of Congruence 10. If a = band c + 0, then = 11. If a = b, then b can be substituted for a in any expression. L. Transitive Property of Congruence 12. If a = b, then a - c = b-c. 13. Cali measures her textbook and finds that it is 8 inches wide. She wants to know how many centimeters wide her textbook is. The formula to convert inches to centimeters is 2.54i = c, where i is the length in inches and c is the length in centimeters. Fill in the blanks to find the answer. The justifications will guide you. 2.54i = c Given equation 2.54( ) = c Substitution Property of Equality Simplify. Summetric Pronerty of Eauality acer @ %23 $ & 2 3 4 7 9 e r y d k C n m
Transcribed Image Text:For Exercises 1-12, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 1. If a = b, then b = a. F A. Addition Property of Equality 2. If a = b, then ac = bc. B. Subtraction Property of Equality 3. AB = AB C. Multiplication Property of Equality 4. a = a D. Division Property of Equality 5. If a = b, then a +c = b + c. E. Reflexive Property of Equality 6. a(b + c) = ab + ac F. Symmetric Property of Equality 7. If a = band b = c, then a = c. G. Transitive Property of Equality 8. If LP = LQ, then LQ= LP. H. Substitution Property of Equality I. Distributive Property 9. If LA = LB and LB = LC, then LA = LC. J. Reflexive Property of Congruence K. Symmetric Property of Congruence 10. If a = band c + 0, then = 11. If a = b, then b can be substituted for a in any expression. L. Transitive Property of Congruence 12. If a = b, then a - c = b-c. 13. Cali measures her textbook and finds that it is 8 inches wide. She wants to know how many centimeters wide her textbook is. The formula to convert inches to centimeters is 2.54i = c, where i is the length in inches and c is the length in centimeters. Fill in the blanks to find the answer. The justifications will guide you. 2.54i = c Given equation 2.54( ) = c Substitution Property of Equality Simplify. Summetric Pronerty of Eauality acer @ %23 $ & 2 3 4 7 9 e r y d k C n m
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