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Geometry Lesson 27.notebook September 20, 2011 Warm Up/Ticket In Complete each sentence. 1. If the measures of two angles are ? , then the angles are congruent. 2. If two angles form a ? , then they are supplementary. 3. If two angles are complementary to the same angle, then the two angles are ? . Aug 2810:51 AM Objectives Write flowchart and paragraph proofs. Prove geometric theorems by using deductive reasoning. Aug 2810:51 AM Sep 228:45 AM Vocabulary flowchart proof paragraph proof Aug 2810:51 AM 1 Geometry Lesson 27.notebook September 20, 2011 A second style of proof is a flowchart proof, which uses boxes and arrows to show the structure of the proof. The justification for each step is written below the box. Aug 2810:51 AM Sep 208:33 AM Sep 208:42 AM Aug 2810:51 AM 2 Geometry Lesson 27.notebook Aug 2810:51 AM September 20, 2011 Aug 2810:51 AM Example 2 Continued Flowchart proof: Aug 2810:51 AM Aug 2810:51 AM 3 Geometry Lesson 27.notebook September 20, 2011 Check It Out! Example 2 Continued Aug 2810:51 AM Aug 2810:51 AM A paragraph proof is a style of proof that presents the steps of the proof and their matching reasons as sentences in a paragraph. Although this style of proof is less formal than a two column proof, you still must include every step. Aug 2810:51 AM Aug 2810:51 AM 4 Geometry Lesson 27.notebook Aug 2810:51 AM Example 4 Continued September 20, 2011 Aug 2810:51 AM Are You Ready! Example 4 Paragraph proof: Aug 2810:51 AM Aug 2810:51 AM 5 Geometry Lesson 27.notebook September 20, 2011 Ticket out: Rate your thought on proofs when: Ticket Out: Do you know your course grade? first introduced: 1 to 10 How do you feel the course is going so far? and now: 1 to 10 10 is highest Sep 2210:45 AM Sep 2210:35 AM 6