Homework Help is Here – Start Your Trial Now!
Math
Geometry
(g) In the following sketch, DC is a common tangent to both circles at C and AD is a tangent to the larger circle at A. Prove that ABCD is a cyclic quadrilateral.

(g) In the following sketch, DC is a common tangent to both circles at C and AD is a tangent to the larger circle at A. Prove that ABCD is a cyclic quadrilateral.

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.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 23E: In quadrilateral RSTV, the midpoints of consecutive sides are joined in order. Try drawing other...
See similar textbooks
icon
Related questions
Question
Please help me with this question by using one or more of these three methods in picture 1.
theorems are used to prove that a given quadrilateral is cyclic. LO PROVE THAT A QUADRILATERAL IS CYCLIC oroms 4 to 6 were about the properties of a cyclic quadrilateral. The converses of these CONVERSE OF THEOREM 4 cabe opposite angles of a quadriılateral are supplementary, then the quadrilateral is cyclic. B • +X = 180° Quadrilateral ABCD with ÊB+D=180° Given: Conclusion: ABCD is a cyclic quad Reason: opp Zs of quad suppl CONVERSE OF THEOREM 5 If an exterior angle of a quadrilateral is equal to the opposite interior angle then the quadrilateral is cyclic. D B BK Given: Quadrilateral ABCD with BC extended to E. BẬD = EĈD. Conclusion: ABCD is a cyclic quad Reason: ext Z of quad = opp int 2 CONVERSE OF THEOREM 6 a mie segment joining two points subtends equal angles at two points on the same side of the line segment, then the four points are concyclic. 1D B our points A, B, C and D with A and D on the same side of BC. BẬC= BI C Reason: Given: Conclusion: ABCD is a cyclic quad line subtends = Zs 53
Transcribed Image Text:theorems are used to prove that a given quadrilateral is cyclic. LO PROVE THAT A QUADRILATERAL IS CYCLIC oroms 4 to 6 were about the properties of a cyclic quadrilateral. The converses of these CONVERSE OF THEOREM 4 cabe opposite angles of a quadriılateral are supplementary, then the quadrilateral is cyclic. B • +X = 180° Quadrilateral ABCD with ÊB+D=180° Given: Conclusion: ABCD is a cyclic quad Reason: opp Zs of quad suppl CONVERSE OF THEOREM 5 If an exterior angle of a quadrilateral is equal to the opposite interior angle then the quadrilateral is cyclic. D B BK Given: Quadrilateral ABCD with BC extended to E. BẬD = EĈD. Conclusion: ABCD is a cyclic quad Reason: ext Z of quad = opp int 2 CONVERSE OF THEOREM 6 a mie segment joining two points subtends equal angles at two points on the same side of the line segment, then the four points are concyclic. 1D B our points A, B, C and D with A and D on the same side of BC. BẬC= BI C Reason: Given: Conclusion: ABCD is a cyclic quad line subtends = Zs 53
() In the following sketch, DC is a common tangent to both circles at C and AD is a tangent to the larger circle at A. Prove that ABCD is a cyclic quadrilateral. Statement Reason
Transcribed Image Text:() In the following sketch, DC is a common tangent to both circles at C and AD is a tangent to the larger circle at A. Prove that ABCD is a cyclic quadrilateral. Statement Reason
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Matrix Factorization
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
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS