1 2.5 reasoning in Algebra and also GeometryAlgebraic nature of equality are supplied in Geometry. Will help you deal with problems and also justify each step. In Geometry, you accept postulates and properties as true. Several of the properties you expropriate as true room the properties of equality indigenous Algebra.

2 Properties that EqualityLet a, b, and also c be any real numbers. Addition Property: If a = b, then a + c = b + c. Individually Property: If a = b, climate a - c = b - c. Multiplication Property: If a = b, climate a * c = b * c. Division Property: If a = b and also c ≠ 0, climate a/c = b/c. Reflexive Property: a = a. Symmetric Property: If a = b, climate b = a. Leg Property: If a = b and also b = c, climate a = c. Substitution Property: If a = b, climate b have the right to replace a in any kind of expression.

3 Distributive PropertyUse multiplication to distribution a to each term the the sum or difference within the parentheses. Sum:a (b + c) = abdominal + ac Difference: a (b – c) = abdominal muscle – ac

4 Justifying actions when fixing an EquationWhat is the worth of x? Justify every step.

5 Justifying actions when solving an Equationangles that kind a linear pair are suppl. Def. That supplementary angle Substitution property Simplify Subtraction home of Equality department Property that Equality

6 Properties that Congruence

7 Using properties of Equality and CongruenceWhat is the name of the residential or commercial property of equality or congruence that justifies going native the an initial statement to the second statement? A. 2x + 9 = 19 2x = 10 B. C. Subtraction residential property of Equality transitive Prop. Of Congruence Symmetric home of Equality

8 Proof A proof – a convincing debate that uses deductive reasoning.Logically reflects why a conjecture is true. A two-column proof lists every statement ~ above the left and the reasons on the right.

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Each statement should follow logically indigenous the steps prior to it.