Because you can't add geometric figures.
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reflexive property of congruence
They are similar because they both have the definition of if A=B and B=C then A=C. They are different because since every parallel line is equal it shows that they do not exactly match up because of the transitive property of congruence.
zero property of addition
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
the associative property of addition means that changing the grouping of the addends doesn't affect the sum