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Transcript
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
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2
Geometry Lesson 2­7.notebook
Aug 28­10:51 AM
September 20, 2011
Aug 28­10:51 AM
Example 2 Continued
Flowchart proof:
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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
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Example 4 Continued
September 20, 2011
Aug 28­10:51 AM
Are You Ready! Example 4
Paragraph proof:
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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