/Geo_Sec._2.6_pdf

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Geometry Section 2.6 - Prove statements about segments and angles What the student should get from this: 1. Write two-column proofs 2. Prove geometric theorems by using deductive reasoning Donʼt forget these things! Properties of Equality

Mathematical Statement

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a ! c = b ! c

Multiplication Property of Equality

If a = b, then ac = bc

Division Property of Equality

If a = b, and c ≠ 0, then

a b = c c

Reflexive Property of Equality

a=a

Symmetric Property of Equality

If a = b, then b = a

Transitive Property of Equality

If a = b, and b = c, then a = c

Substitution Property of Equality

If a = b, then b can be substituted for a in any expression

Letʼs go right at it! You must very quickly learn definitions, basic geometric properties, rules (postulates) and theorems. This is how it works... m

Given: intersecting lines m and n Prove: !1 " !3 Statements

2 1

3

Reasons

n

Brainstorm Area (BSA)


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