Geometry - Algebraic Proofs

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Join me as I go through properties used in Algebraic and Geometric Proofs:
Addition Property of Equality, Subtraction Property of Equality, Multiplication Property of Equality, Division Property of Equality, Reflexive Property, Symmetric Property, Transitive Property, Substitution Property, and Distributive Property. This video shows 6 proofs!

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My name is Rory Yakubov, and I am an Algebra and Geometry teacher from NJ.

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Here’s an example:
Given: 4r - 3 = 3(3r + 4)
Prove: r = -3
Statements:
1.) 4r - 3 = 3(3r + 4)
2.) 4r - 3 = 9r + 12
3.) -3 = 5r + 12
4.) -15 = 5r
5.) -3 = r
6.) r = -3

Reasons:
1.) Given
2.) Distributive Property
3.) Subtraction Property
4.) Subtraction Property
5.) Division Property
6.) Symmetric Property

pikachuandsonicadventures
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Does the substitution property of equality work for when you simplify something like 3 *7?

hexagonal
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Does the substitution property of equality work for when you simplify something like 2 *5?

Pandaster