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Statement Reason PS QT 1. SR %3D Given TR PS +1 = SR QT + 1 TR 21 Reason ? PS SR QT TR 13 SR Fraction Algebra SR TR TR PS +SR QT + TR 4 Fraction Algebra SR TR 5 PR= PS +| Segment Addition Property 6 QR = QT +|| Segment Addition Property PR QR Reason ? SR TR 8. ZR ZR Reason ? 9 APQR AI SAS Similarity Property 10 ZRPQ ZRST Reason ? 11 PQ || Reason ?

Statement Reason PS QT 1. SR %3D Given TR PS +1 = SR QT + 1 TR 21 Reason ? PS SR QT TR 13 SR Fraction Algebra SR TR TR PS +SR QT + TR 4 Fraction Algebra SR TR 5 PR= PS +| Segment Addition Property 6 QR = QT +|| Segment Addition Property PR QR Reason ? SR TR 8. ZR ZR Reason ? 9 APQR AI SAS Similarity Property 10 ZRPQ ZRST Reason ? 11 PQ || Reason ?

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 divides two sides of a triangle proportionally, then it is parallel to the third side. S. PS Given: SR QT %3D TR Prove: PQ || ST
Transcribed Image Text:Use the given information to complete the proof of the following theorem. If a line divides two sides of a triangle proportionally, then it is parallel to the third side. S. PS Given: SR QT %3D TR Prove: PQ || ST
Statement Reason PS QT 1. SR Given TR PS QT + = + 1 Reason ? SR TR PS SR QT TR 13 SR Fraction Algebra SR TR TR PS +SR QT + TR 4 Fraction Algebra SR TR 5 PR = PS +| Segment Addition Property 6 QR = QT + Segment Addition Property PR QR 7 SR Reason ? TR 8. ZR ZR Reason ? 9 APQR AI SAS Similarity Property 10 ZRPQ =ZRST Reason ? 11 PQ || Reason ? 2)
Transcribed Image Text:Statement Reason PS QT 1. SR Given TR PS QT + = + 1 Reason ? SR TR PS SR QT TR 13 SR Fraction Algebra SR TR TR PS +SR QT + TR 4 Fraction Algebra SR TR 5 PR = PS +| Segment Addition Property 6 QR = QT + Segment Addition Property PR QR 7 SR Reason ? TR 8. ZR ZR Reason ? 9 APQR AI SAS Similarity Property 10 ZRPQ =ZRST Reason ? 11 PQ || Reason ? 2)
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