Please help me with this question by using one or more of these three methods in picture 1. Theorems 4 to 6 were about the properties of a cyclic quadrilateral. The converses of theseIf the opposite angles of a quadrilateral are supplementary, then the quadrilateral is cyclic.If an exterior angle of a quadrilateral is equal to the opposite interior angle then the quadrilateral isReasonト--ン•+X = 180°Quadrilateral ABCD with B+D=180°Given:Reason:opp Zs of quad supplCONVERSE OF THEOREM 5cyclic.Bト。Given:Quadrilateral ABCD with BC extended to E. BÂD= EĈD.Conclusion: ABCD is a cyclic quadReason:ext Z of quad = opp int 2CONVERSE OF THEOREM 6na line segment joining two points subtends equal angles at two points on the same side of the linesegment, then the four points are concyclic.DBGiven:Conclusion: ABCD is a cyclic quadour points A, B, C and D with A and D on the same side of BC. BẬC=BI.Cline subtends = ZsReason:53--- (h)In the following sketch, EFG is a tangentto circle BFC at F.(1)TO PProve that ABCD is a cyclicquadrilateral.The c(2)If B, = x, express the followingin terms of x. Give reasons:CON(i)(ii)If a(iii)Ê+Ê,tangEStatementG.Reason(i)In the fol

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CONVERS fthe opposite angles of a quadrilateral a are supplementary, then the quadrilateral is cyclio

Elementary Geometry For College Students, 7e

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ISBN:9781337614085

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

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

Chapter5: Similar Triangles

Section5.6: Segments Divided Proportionally

Problem 34E: Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the...

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Question

Please help me with this question by using one or more of these three methods in picture 1.

Theorems 4 to 6 were about the properties of a cyclic quadrilateral. The converses of these
If the opposite angles of a quadrilateral are supplementary, then the quadrilateral is cyclic.
If an exterior angle of a quadrilateral is equal to the opposite interior angle then the quadrilateral is
Reason
ト--ン
•+X = 180°
Quadrilateral ABCD with B+D=180°
Given:
Reason:
opp Zs of quad suppl
CONVERSE OF THEOREM 5
cyclic.
B
ト。
Given:
Quadrilateral ABCD with BC extended to E. BÂD= EĈD.
Conclusion: ABCD is a cyclic quad
Reason:
ext Z of quad = opp int 2
CONVERSE OF THEOREM 6
na line segment joining two points subtends equal angles at two points on the same side of the line
segment, then the four points are concyclic.
D
B
Given:
Conclusion: ABCD is a cyclic quad
our points A, B, C and D with A and D on the same side of BC. BẬC=BI.C
line subtends = Zs
Reason:
53
---

(h)
In the following sketch, EFG is a tangent
to circle BFC at F.
(1)
TO P
Prove that ABCD is a cyclic
quadrilateral.
The c
(2)
If B, = x, express the following
in terms of x. Give reasons:
CON
(i)
(ii)
If a
(iii)
Ê+Ê,
tang
E
Statement
G.
Reason
(i)
In the fol

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