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
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
Related questions
Topic Video
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c0bb326-0946-4f8b-aa51-601041a732ab%2Fe6493bb7-7552-4977-a9a5-74436de222b8%2Fm1fn3uc_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning