Proving Statements about Segments

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Presentation transcript:

Proving Statements about Segments BIG IDEA: Reasoning and Proof ESSENTIAL UNDERSTANDING Given information, definitions, properties, postulates, and previously proven theorems can be used as reasons in a proof. MATHEMATICAL PRACTICE Construct viable arguments and critique the reasoning of others.

Definition: a ____________________ of the meaning of a word or phrase. Theorem: a ____________________ that is proven Postulate (or Axiom): an ____________________ statement of fact Theorems

EX 1 Given: Prove: Statements Reasons 1. 1. Given 2. 3. 3. Addition Property 4. 5. 5. Substitution Property 6. EX 1

EX 2 Given: Prove: Statements Reasons 1. 2. Transitive Property 3. 4. 5. EX 2

Given: Prove: Statements Reasons 1. 1. Given 2. 3. 3. Given 4. EX 3

EX 4 Given: Find: Statements Reasons 1. 1. Given 2. 2. Segment Addition Postulate 3. 4. 5. 5. Combine like terms 6. 7. 7. Division Property EX 4

2.5 p. 105 8, 10, 16 – 18 all, 21, 22 – 34 evens, 37 – 40 all 17 questions