B 2. The statements of a proof are shown below. Given: APRS; TQ || SR S Prove: TS PQ = PT QR Statements 1. APRS; TQ | SR 2. 41 42; 43 = 24 3. ΔΡSR ~ ΔΡΤΩ PS PR PT PQ 4. 5. PT+TS PQ+QR PT PQ 6. 1+ TS PT = = 1 + QR PQ TS QR 7. T = PT PQ 8. TS PQ=PT QR 4 R Which statement is justified by the reason "corresponding sides of similar triangles are proportional"?

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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Question
2. The statements of a proof are shown below.
Given: APRS; TQ || SR
S
Prove: TS PQ = PT QR
Statements
1. APRS; TQ || SR
2. 41 42; 43 = 24
3. APSRAPTQ
4.
5.
PS
PR
PT = PO
PQ
7.
PT+TS
PT
6. 1+
TS
PT
3
TS QR
PT PQ
=
= 1 +
PQ+QR
PQ
QR
PQ
Q
8. TS PQ=PT QR
4
R
Which statement is justified by the reason "corresponding sides of similar triangles are proportional”?
Transcribed Image Text:2. The statements of a proof are shown below. Given: APRS; TQ || SR S Prove: TS PQ = PT QR Statements 1. APRS; TQ || SR 2. 41 42; 43 = 24 3. APSRAPTQ 4. 5. PS PR PT = PO PQ 7. PT+TS PT 6. 1+ TS PT 3 TS QR PT PQ = = 1 + PQ+QR PQ QR PQ Q 8. TS PQ=PT QR 4 R Which statement is justified by the reason "corresponding sides of similar triangles are proportional”?
Which statement is justified by the reason "corresponding sides of similar triangles are proportional"?
Statement 7
Statement 5
Statement 3
Statement 4
Transcribed Image Text:Which statement is justified by the reason "corresponding sides of similar triangles are proportional"? Statement 7 Statement 5 Statement 3 Statement 4
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