Symmetric Property of Equality

The Symmetric Property of Equality states that we can swap the expression to the left of the equal sign with the expression to the right. If the statement was true before the swap, it will remain true after.

More precisely:

if a = b, then b = a

This property seems trivial, but it is used in many proofs (such as this permutation of the Transitive Property)

a and b are both expressions, so they can be values, variables, operations, among others.

Examples

if 3 = 7, then 7 = 3

if a + 3 = 5, then 5 = a + 3

if m + n = x + y, then x + y = m + n

Quiz (1 point)

Given that

a ⋅ (b ⋅ c) = (a ⋅ b) ⋅ c

What does the Symmetric Property of Equality allow us to conclude?

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