Chapter 2 Section 2 Properties of Equality

1. Chapter 2Section 2Properties of Equality

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

3. Subtraction Property • If a = b and c = d, then a - c = b – d.

4. Multiplication Property • If a = b, then ca = cb.

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

6. Substitution Property • If a = b, then either a or b may be substituted for the other in any equation (or inequality).

7. Reflexive Property • a = a

8. Symmetric Property • If a = b, then b = a.

9. Transitive Property • If a = b and b = c, then a = c.

10. Properties of Congruence

11. Reflexive Property • DE @ DE or <D @ <D

12. Symmetric Property • If DE @ FG, then FG @ DE. • If <D @ <E, then <E @ <D.

13. Transitive Property • If DE @ FG and FG @ JK, then DE @ JK. • If <D @ <E and <E @ <F, then <D @ <F.

14. Distributive Property • a(b + c) = ab + ac