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22. Using the information given, what would be reasons 2, 5, and 7 in the following two-column proof? Use the bank of reasons provided below. Given: QUAD is inscribed in circle S. Prove: mzQ + meA - 180° Statements Reasons 1. QUAD is inscribed in circle S. 1. 2. MDQU = 2 mLA 3. MDAU = 2 mzQ 4. MDQU + mDAU = 360° 5. 2 mLA + MDAU - 360° 6. 2 mLA +2 mzQ = 360° 7. 2(mLA + mzQ) = 360° 7. 8. mzQ + mLA - 180° Bank of Reasons: Substitution Division Property of Equality Distributive Property Given Definition of a circle and Angle Addition Definition of Inscribed Angles Postulate

22. Using the information given, what would be reasons 2, 5, and 7 in the following two-column proof? Use the bank of reasons provided below. Given: QUAD is inscribed in circle S. Prove: mzQ + meA - 180° Statements Reasons 1. QUAD is inscribed in circle S. 1. 2. MDQU = 2 mLA 3. MDAU = 2 mzQ 4. MDQU + mDAU = 360° 5. 2 mLA + MDAU - 360° 6. 2 mLA +2 mzQ = 360° 7. 2(mLA + mzQ) = 360° 7. 8. mzQ + mLA - 180° Bank of Reasons: Substitution Division Property of Equality Distributive Property Given Definition of a circle and Angle Addition Definition of Inscribed Angles Postulate

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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22. Using the information given, what would be reasons 2, 5, and 7 in the following two-column proof? Use the bank of reasons provided below. Given: QUAD is inscribed in circle S. Prove: mzQ + mLA = 180° Statements Reasons 1. QUAD is inscribed in circle S. 1. 2. MDQU = 2 · mLA 2. 3. MDAU = 2 · m2Q 3. 4. MDQU + MDAU = 360° 4. 5. 2 mLA + MDAU = 360° 5. 6. 2 mLA + 2 · mzQ = 360° 6. 7. 2(mLA + mQ) = 360° 7. 8. mzQ + mzA = 180° 8. Bank of Reasons: Substitution Division Property of Equality Distributive Property Given Definition of a circle and Angle Addition Postulate Definition of Inscribed Angles
Transcribed Image Text:22. Using the information given, what would be reasons 2, 5, and 7 in the following two-column proof? Use the bank of reasons provided below. Given: QUAD is inscribed in circle S. Prove: mzQ + mLA = 180° Statements Reasons 1. QUAD is inscribed in circle S. 1. 2. MDQU = 2 · mLA 2. 3. MDAU = 2 · m2Q 3. 4. MDQU + MDAU = 360° 4. 5. 2 mLA + MDAU = 360° 5. 6. 2 mLA + 2 · mzQ = 360° 6. 7. 2(mLA + mQ) = 360° 7. 8. mzQ + mzA = 180° 8. Bank of Reasons: Substitution Division Property of Equality Distributive Property Given Definition of a circle and Angle Addition Postulate Definition of Inscribed Angles
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