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A ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = AD. Point L is the midpoint of AD. Let P be the point on the circumcircle of A ADC so that ZAPB = 90°.

A ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = AD. Point L is the midpoint of AD. Let P be the point on the circumcircle of A ADC so that ZAPB = 90°.

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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Geometry A ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = AD. Point L is the midpoint of AD. Let P be the point on the circumcircle of ▲ ADC so that <APB = 90°. (a) Prove that B, P, L, and A are concyclic. (b) Prove that ZLPC = 90°
Transcribed Image Text:Geometry A ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = AD. Point L is the midpoint of AD. Let P be the point on the circumcircle of ▲ ADC so that <APB = 90°. (a) Prove that B, P, L, and A are concyclic. (b) Prove that ZLPC = 90°
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