TABLE OF CONTENTS
Give an example of the symmetrical property.
Think of the symmetrical property like a line of symmetry that you can flip things across.
There are many options but it essentially states that if A = B, then B = A.
If we're given a puppy, what can we say about the puppy and which property would we be using?
Even though the puppy isn't a contortionist, the same property applies.
The reflexive property: puppy = puppy.
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.
X = Y and Y = 3. Which properties allow or forbid us to say that 3 = X?
We aren't adding, subtracting, multiplying, or dividing.
The transitive and the symmetrical properties.
A = B and X = Y. Which properties allow or forbid 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.
A = B, B = C, C = D, and D = E, E = F, and F = G. Which properties allow or forbid us to say that A(B + C) = D × E + F × G?
The statement is true. Which properties allow it?
The distributive property, the transitive property many times over, and the substitution property.