Real Number Properties

[Chocolate]

These are some of the definitions:

Substitution property- If a=b, then "a" may replace "b" OR "b" may replace "a"

Transitive property- If a=b and b=c, then a=c

Symmetric property- If a=b, then b=a


I don't understand why [If FG=PQ and FG=ST, then PQ=ST] would be symmetric because the answer key says it's a mix of transitive and symmetric, I can see the transitive but how is it symmetric?

 

[stapel]

To go from "FG = PQ and FG = ST" to "then PQ = ST", they first had to reverse the one equality:

. . . . .Given: FG = PQ and FG = ST.

. . . . .Symmetric Property: Then PQ = FG.

. . . . .Restatement: PQ = FG and FG = ST.

. . . . .Transitive Property: Then PQ = ST.

That's my guess, anyway.

Eliz.