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Example 3 PROOF Write a two-column proof. 6. Given: 42 = 24 Prove: 21 43 1 2 3 4

Example 3 PROOF Write a two-column proof. 6. Given: 42 = 24 Prove: 21 43 1 2 3 4

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Write 2 column proof.
**Example 3: Proof** **Write a two-column proof.** 6. **Given:** ∠2 ≅ ∠4 **Prove:** ∠1 ≅ ∠3 **Diagram Explanation:** The diagram shows two geometric figures featuring angles labeled 1 through 4. Each figure consists of a pair of intersecting lines forming two angles. The angles in the left diagram are labeled 1 and 2, while the right diagram angles are labeled 3 and 4. Both figures contain right angles indicated by small squares, suggesting that segments within the figures are perpendicular. The given information specifies congruence between ∠2 and ∠4. The task is to prove congruence between ∠1 and ∠3, using logical reasoning through a two-column proof that likely involves properties of congruent angles and perpendicular lines.
Transcribed Image Text:**Example 3: Proof** **Write a two-column proof.** 6. **Given:** ∠2 ≅ ∠4 **Prove:** ∠1 ≅ ∠3 **Diagram Explanation:** The diagram shows two geometric figures featuring angles labeled 1 through 4. Each figure consists of a pair of intersecting lines forming two angles. The angles in the left diagram are labeled 1 and 2, while the right diagram angles are labeled 3 and 4. Both figures contain right angles indicated by small squares, suggesting that segments within the figures are perpendicular. The given information specifies congruence between ∠2 and ∠4. The task is to prove congruence between ∠1 and ∠3, using logical reasoning through a two-column proof that likely involves properties of congruent angles and perpendicular lines.
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∠2≅∠4

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