Name the axiom of equality illustrated in each case. a) If AB is the numerical length of the line segment AB, then AB = AB. b) If 17 = 2x - 3, then 2x - 3 = 17. c) Given that 2x + 3x = 5x, the statement 2x + 3x = 30 can be replaced by 5x = 30.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.3: Introduction To Geometric Proof
Problem 2E: In Exercises 1 to 6, which property justifies the conclusion of the statement? If x+x=12, then...
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Name the axiom of equality illustrated in each case.
a) If AB is the numerical length of the line segment AB, then AB = AB.
b) If 17 = 2x - 3, then 2x - 3 = 17.
c) Given that 2x + 3x = 5x, the statement 2x + 3x = 30 can be replaced by
5x = 30.
Transcribed Image Text:Name the axiom of equality illustrated in each case. a) If AB is the numerical length of the line segment AB, then AB = AB. b) If 17 = 2x - 3, then 2x - 3 = 17. c) Given that 2x + 3x = 5x, the statement 2x + 3x = 30 can be replaced by 5x = 30.
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