This document outlines several properties from algebra including: 1) Addition, subtraction, multiplication, and division properties which state that if two quantities are equal, their sums, differences, products, and quotients are also equal. 2) Reflexive, symmetric, and transitive properties which define equality and how it relates different quantities or measurements. 3) A substitution property which allows substituting equal quantities into equations and expressions.

1. Terms of Endearment Reasoning with Properties from Algebra: 2.4

2. Addition Property If a = b, then a + c = b + c

3. Subtraction Property If a = b, then a – c = b – c

4. Multiplication Property If a = b, the ac = bc

5. Division Property If a = b and c ≠ 0, then a ÷ c = b ÷ c

6. Reflexive Property For any real number a, a = a For any segment AB, AB = AB For any angle A, the measure of angle A = the measure of angle A

7. Symmetric Property If a = b, then b = a If AB = CD, then CD = AB If the measure of angle A = the measure of angle B, then the measure of angle B = the measure of angle A

8. Transitive Property If a = b and b = c, then a = c If AB = CD and CD = EF, then AB = EF If the measure of angle A = the measure of angle B, and the measure of angle B = the measure of angle C, then the measure of angle A = the measure of angle C

9. Substitution Property If a = b, then a can be substituted for b in any equation or expression