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Given: FE || HG FH EG Prove: %3D HD GD F

Given: FE || HG FH EG Prove: %3D HD GD F

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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Use the given information to complete the proof of the following theorem. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. E Given: FE || HG FH Prove: EG D HD GD H F
Transcribed Image Text:Use the given information to complete the proof of the following theorem. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. E Given: FE || HG FH Prove: EG D HD GD H F
FE || HG Given 2 ZDFE | If lines , then corr. Zs 3 ZD ZD Reason ? 4 ADEF A AA Similarity Property FD ED 5. HD GD Reason ? 6 FD FH +| Segment Addition Property 7 ED EG +| Segment Addition Property FH + HD 8. EG+ GD Reason ? HD GD FH HD EG GD Fraction Algebra 6. HD HD GD GD FH EG + 1= GD + 1 10 HD Fraction Algebra FH 11 HD Reason ? GD
Transcribed Image Text:FE || HG Given 2 ZDFE | If lines , then corr. Zs 3 ZD ZD Reason ? 4 ADEF A AA Similarity Property FD ED 5. HD GD Reason ? 6 FD FH +| Segment Addition Property 7 ED EG +| Segment Addition Property FH + HD 8. EG+ GD Reason ? HD GD FH HD EG GD Fraction Algebra 6. HD HD GD GD FH EG + 1= GD + 1 10 HD Fraction Algebra FH 11 HD Reason ? GD
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