Geometry - PROOF

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.

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

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.

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.

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

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

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

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)).

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).

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