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

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

3. Reasons in a proof Given Definition Properties Postulates Theorems
Constructions

4. 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 |

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

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

7. What we should know now
Definitions
Postulates
Properties

8. Definitions
Midpoint
Segment bisect
Angle bisect
Congruence

9. Postulates
Segment Addition
Angle Addition
Points, Lines, Planes

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

11. More Properties Reflexive of = Symmetric of = Transitive of =