THINK AND DISCUSS
1. Explain why there might be more than one correct way to write a proof.
2. Describe the steps you take when writing a proof.
3. GET ORGANIZED
Copy and complete the
graphic organizer.
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In each box, describe
the proof style in your own words.
2-7
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Exercises
KEYWORD: MG7 2-7
KEYWORD: MG7 Parent
GUIDED PRACTICE
Vocabulary Apply the vocabulary from this lesson to answer each question.
1. In a ? proof, the logical order is represented by arrows that connect each step.
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(flowchart or paragraph)
2. The steps and reasons of a ? proof are written out in sentences.
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(flowchart or paragraph)
SEE EXAMPLE
1
p. 118
3. Use the given flowchart proof to write
a two-column proof.
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Given: ∠1 ≅ ∠2
Prove: ∠1 and ∠2 are right angles.
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Flowchart proof:
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SEE EXAMPLE
p. 119
2
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4. Use the given two-column proof to write
a flowchart proof.
Given: ∠2 and ∠4 are supplementary.
Prove: m∠2 = m∠3
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Two-column proof:
Statements
122
Reasons
1. ∠2 and ∠4 are supplementary.
1. Given
2. ∠3 and ∠4 are supplementary.
2. Lin. Pair Thm.
3. ∠2 ≅ ∠3
3. ≅ Supps. Thm. Steps 1, 2
4. m∠2 = m∠3
4. Def. of ≅ 
Chapter 2 Geometric Reasoning
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