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For this question, assume the Parallel Postulate P-1 (a) Define a chord of a circle. (b) Prove that if C(P,r) is a circle and AB is a chord of it, then the segment connecting P to the midpoint of AB is perpendicular to AB. (c) Let A, B, C, and D be points on a circle such that AC intersects BD in a point E and AC 1 BD. If aAABE = 6, and CE is three times as large as DE, find AE. %3D

For this question, assume the Parallel Postulate P-1 (a) Define a chord of a circle. (b) Prove that if C(P,r) is a circle and AB is a chord of it, then the segment connecting P to the midpoint of AB is perpendicular to AB. (c) Let A, B, C, and D be points on a circle such that AC intersects BD in a point E and AC 1 BD. If aAABE = 6, and CE is three times as large as DE, find AE. %3D

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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For this question, assume the Parallel Postulate P-1 (a) Define a chord of a circle. (b) Prove that if C(P,r) is a circle and AB is a chord of it, then the segment connecting P to the midpoint of AB is perpendicular to AB. (c) Let A, B, C, and D be points on a circle such that AC intersects BD in a point E and AC I BD. If «AABE = 6, and CE is three times as large as DE, find AE. %3D
Transcribed Image Text:For this question, assume the Parallel Postulate P-1 (a) Define a chord of a circle. (b) Prove that if C(P,r) is a circle and AB is a chord of it, then the segment connecting P to the midpoint of AB is perpendicular to AB. (c) Let A, B, C, and D be points on a circle such that AC intersects BD in a point E and AC I BD. If «AABE = 6, and CE is three times as large as DE, find AE. %3D
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