1. AB is the diameter of a circle with center P. Chord CD is perpendicular to AB and intersects AB at O. Chord DE intersects AB at F. Segments CE, CB, DB, PC and AC are drawn. Prove: m2CBO = m¿DBO a. b. mzCED = 2m

1. AB is the diameter of a circle with center P. Chord CD is perpendicular to AB and intersects AB at O. Chord DE intersects AB at F. Segments CE, CB, DB, PC and AC are drawn. Prove: m2CBO = m¿DBO a. b. mzCED = 2m

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of...

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Question

1.
AB is the diameter of a circle with
center P.
Chord CD is perpendicular to AB
and intersects AB at O.
Chord DE intersects AB at F.
Segments CE, CB, DB, PC and AC
are drawn.
Prove:
m2CBO = m¿DBO
a.
b.
mzCED = 2m<CBP
c. CEFP is a cyclic quadrilateral.
2.
In the figure to the right, FE is a
tangent to circle O.
D and F are connected so that EG =
GF.
d. If mZE3 =x, prove that DE = EF.
e. Express 4DOE in terms of x.

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