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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
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
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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.
Transcribed Image Text: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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