Cornell Notes Template Geometry 1 Unit 2: Reasoning And Proof Page 9
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16Geometry 1
Unit 2: Reasoning and Proof
2.4: Reasoning with properties from Algebra
Write an example to illustrate each of the algebraic properties of equality.
Addition property
If a = b, then _____________ = _____________
Subtraction property
If a = b, then _____________ = _____________
Multiplication property
If a = b, then _____________ = _____________
Division property
If a = b, then _____________ = _____________
Reflexive property
For any real number a, _____________ = _____________
Symmetric property
If a=b, then _____________ = ____________
Transitive Property
If a = b and b = c, then _____________ = _____________
Substitution property
If a = b, then a can be substituted for b in any equation or expression
Distributive property
2(x + y) = _____________ = _____________
Example 1
Solve 6x – 5 = 2x + 3 and write a reason for each step
Statement
Reason
6x – 5 = 2x + 3
4x – 5 = 3
4x = 8
x = 2
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