Geometry - PROOF

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What is the Combine Like Terms property?

Back

The Combine Like Terms property allows you to simplify expressions by adding or subtracting terms that have the same variable raised to the same power.

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What is the Reflexive Property of Congruence?

Back

The Reflexive Property of Congruence states that any geometric figure is congruent to itself (e.g., AB ≅ AB).

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What is the Transitive Property of Congruence?

Back

The Transitive Property of Congruence states that if figure A is congruent to figure B, and figure B is congruent to figure C, then figure A is congruent to figure C.

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What is the Division Property of Equality?

Back

The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.

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What is the Subtraction Property of Equality?

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The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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What is the Associative Property?

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The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product (e.g., (a + b) + c = a + (b + c)).

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What is the Commutative Property?

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The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product (e.g., a + b = b + a).

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What is the Symmetric Property of Congruence?

Back

The Symmetric Property of Congruence states that if figure A is congruent to figure B, then figure B is congruent to figure A.