Question

(b) if 12 + 27 = 39, then 39 = 12 + 27.
symmetric property of equality
transitive property of equality
reflexive property of equality
part 3 of 3
(c) if x - 5 = 6 - 2, and 6 - 2 = 8, then x - 5 = 8
reflexive property of equality

Explanation:

The symmetric property of equality states that if \(a = b\), then \(b=a\). In part (b), since \(12 + 27=39\), then \(39 = 12+27\) which follows the symmetric property. The transitive property of equality states that if \(a = b\) and \(b = c\), then \(a = c\). In part (c), since \(x - 5=6 - 2\) and \(6 - 2=8\), then \(x - 5=8\) which follows the transitive property, not the reflexive property as wrongly stated in the original text for part (c).

Answer:

(b) Symmetric Property of Equality
(c) Transitive Property of Equality