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(a) if 18 + 23 = 41, then 41 = 18 + 23. symmetric property of equality …

Question

(a) if 18 + 23 = 41, then 41 = 18 + 23.
symmetric property of equality
reflexive property of equality
transitive property of equality
part 2 of 3
(b) if x + 5 = 7 + 2, and 7 + 2 = 9, then x + 5 = 9.
symmetric property of equality
transitive property of equality
reflexive property of equality

Explanation:

Brief Explanations

(a) The symmetric property of equality states that if a = b, then b = a. Here, since 18 + 23 = 41, then 41 = 18+23, which is in line with the symmetric property.
(b) The transitive property of equality states that if a = b and b = c, then a = c. Here, x + 5 = 7 + 2 and 7 + 2 = 9, so x + 5 = 9, which follows the transitive property.

Answer:

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