Basic Laws of Equality
a = a
EXAMPLE:
1 = 1
3 = 3
9 = 9
x = x
2. Symmetric Property
If a = b then b = a
EXAMPLE:
a = b then b = a
Given that a = 5, therefore b is also
equal to 5 (b = 2 + 3 and etc.)
3. Transitive Property
If a = b and b = c, then a = c. If a
variable is equal to the same variable,
therefore they are also equal to each other.
EXAMPLE:
Similar to symmetric property, a = 6
then b = 6, since c is equated to b, then c = 6.
It can't be any number other than 6.
4. If a = b and c = d, then a + c = b + d. This case
works because the equals are added to equals, then
the results are equal.
EXAMPLE:
Given a = b = 2, c = d = 3;
a + c = b + d
2+ 3 = 2 + 3
5 = 5
5. If a =b and c = d, then ac = bd. This case works
because the equals are multiplied to equals, then the
results are equal.
EXAMPLE:
Given a = b = 2, c = d = 3;
ac = bd
2 * 3 = 2 * 3
6 = 6
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