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The figure shows a semicircle with diameter AD and centre O. The chords AC and BD meet at P. Q is the foot of the perpendicular from P to AD. (a) Show that A, Q. P, B are concyclic. (b) Let ZBQP = 8. Find, in terms of 0, (1) ZBQC, (ii) ZBOC. (c) Let ZCAD= . Find ZCBQ in terms of .

The figure shows a semicircle with diameter AD and centre O. The chords AC and BD meet at P. Q is the foot of the perpendicular from P to AD. (a) Show that A, Q. P, B are concyclic. (b) Let ZBQP = 8. Find, in terms of 0, (1) ZBQC, (ii) ZBOC. (c) Let ZCAD= . Find ZCBQ in terms of .

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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The figure shows a semicircle with diameter AD and centre O. The chords AC and BD meet at P. Q is the foot of the perpendicular from P to AD. B (a) Show that A, Q. P, B are concyclic. (b) Let ZBQP = 8. Find, in terms of 0, (1) ZBQC, (ii) ZBOC. (c) Let ZCAD= . Find ZCBQ in terms of p. O
Transcribed Image Text:The figure shows a semicircle with diameter AD and centre O. The chords AC and BD meet at P. Q is the foot of the perpendicular from P to AD. B (a) Show that A, Q. P, B are concyclic. (b) Let ZBQP = 8. Find, in terms of 0, (1) ZBQC, (ii) ZBOC. (c) Let ZCAD= . Find ZCBQ in terms of p. O
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