Chapter 2 Section 5 Verifying Segment Relationships

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Presentation transcript:

Chapter 2 Section 5 Verifying Segment Relationships Geometry Chapter 2 Section 5 Verifying Segment Relationships

To prove a conditional statement Take a specific case of the general hypothesis Prove that that specific case must conform to the conclusion

If it is a rectangle then it has 4 sides Given: DERF is a rectangle Prove: DERF has 4 sides

Congruence of Segments Reflexive Symmetric Transitive You can use substitution

D C B A Given: Segment ABCD Prove: AD=AB+BC+CD Segment ABCD Statement Reason Segment ABCD AD=AB+BC+CD

A Postulate A conjecture that has no counter example, even though great effort to find one has occurred

Theorem A statement that can be proven

Paragraph Proof Write the 2 column proof as a paragraph

A Statement Prove B C G Z R Given: AB @ GZ BC @ ZR Prove: AC @ GR

Do Now! Page 103 - 106 Problems 5-12, 15 – 29, 31 & 38 - 43