Prove Statements about Segments and Angles

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Presentation transcript:

Prove Statements about Segments and Angles Geometry 2.6 Prove Statements about Segments and Angles

Using Different Styles of Proofs Coordinate proof Paragraph proof Flow proof Two Column proof

Reasons in a proof Given Definition Properties Postulates Theorems Constructions

Two-Column Proof This type of proof is written using one column of statements and one column of reasons. Given: AC = AB + AB Prove: AB = BC A B C STATEMENT | REASON |

More Two-Column Proofs D Given: m1 = m 3 Prove: mEBA = m DBC C A 1 3 2 STATEMENT | REASON |

More Two-Column Proofs Given: M is the midpoint of segment AB Prove: AM = ½ AB STATEMENT | REASON |

What we should know now Definitions Postulates Properties

Definitions Midpoint Segment bisect Angle bisect Congruence

Postulates Segment Addition Angle Addition Points, Lines, Planes

Properties Addition of Equality Subtraction of Equality Multiplication of Equality Division of Equality Substitution of Equality Distributive

More Properties Reflexive of = Symmetric of = Transitive of =