Give an example of the symmetric property.
Hint
Think of the symmetric property like a line of symmetry that you can flip things across.
Answer
There are tons of options, but it essentially states that if A = B, then B = A.
If we're given a puppy, what property allows us to say that puppy = puppy?
Even though the puppy isn't a contortionist, the same property applies.
The reflexive property.
If A⁄B = C⁄D, which statements would make this true?
You should use the division property as long as you promise not to divide by zero.
A = C and B = D ≠ 0.
If X = Y and Y = 3, which properties allow us to say that 3 = X?
We aren't adding, subtracting, multiplying, or dividing.
The transitive and the symmetric properties.
If A = B and X = Y, which properties allow us to say that ?
Assume that C ≠ 0. We don't want to go down that road.
The addition property, the division property, the distributive property, and the substitution property.
If A = B, B = C, C = D, D = E, E = F, and F = G, which properties allow us to say that A(B + C) = DE + FG?
The statement is true. Which properties allow it?
The distributive property, the transitive property many times over, and the substitution property.
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