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Given: ES is a diameter of OU and perpendicular to chord GN at point I. N G Prove: 1. NĪ GI 2. AN = EG 3. NS 2 GS Part 1 A. Show that ES bisects GN Proof: Statements Reasons 1. OU with diameterES and a chord GN; ES 1 GN 2. ZGIU and ¿NIU are right angles 3. ZGIU E ZNIU 4. UG & UN 5. UI UI 6. AGIU and ANIU are right triangle 7. ΔGIU ΔΝυ 8. GI NI 9. ES bisects GN

Given: ES is a diameter of OU and perpendicular to chord GN at point I. N G Prove: 1. NĪ GI 2. AN = EG 3. NS 2 GS Part 1 A. Show that ES bisects GN Proof: Statements Reasons 1. OU with diameterES and a chord GN; ES 1 GN 2. ZGIU and ¿NIU are right angles 3. ZGIU E ZNIU 4. UG & UN 5. UI UI 6. AGIU and ANIU are right triangle 7. ΔGIU ΔΝυ 8. GI NI 9. ES bisects GN

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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Given: ES is a diameter of OU and perpendicular to chord GN at point I. N AG Prove: 1. NI = GI 2. AN = EG 3. NS e GS S Part 1 A. Show that ES bisects GN Proof: Statements Reasons 1. OU with diameterES and a chord GN; ES 1 GN 2. ZGIU and LNIU are right angles 3. ZGIU E ZNIU 4. UG E UN 5. UI = UI 6. AGIU and ANIU are right triangle 7. ΔGIU ΔΝΙ 8. GI 스 NI 9. ES bisects GN
Transcribed Image Text:Given: ES is a diameter of OU and perpendicular to chord GN at point I. N AG Prove: 1. NI = GI 2. AN = EG 3. NS e GS S Part 1 A. Show that ES bisects GN Proof: Statements Reasons 1. OU with diameterES and a chord GN; ES 1 GN 2. ZGIU and LNIU are right angles 3. ZGIU E ZNIU 4. UG E UN 5. UI = UI 6. AGIU and ANIU are right triangle 7. ΔGIU ΔΝΙ 8. GI 스 NI 9. ES bisects GN
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