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

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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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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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