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1. Use parallelogram OPQR below to complete the proof that shows SO SQ. R 0 Q P 1. Statements ZORPZQPR ZQRPZOPR 2. RP RP 3. ARPO APRQ 4. PORQ 5. ZRSQ ZPSO 6. Statement 6 7. SO SQ Reasons 1. Given 2. Reflexive property of congruence 3. Angle-side- angle triangle congruence 4. CPCTC 5. Vertical angles 6. Reason 6 7. CPCTC Statement 6: ARSQ = APSO Reason 6: Angle-side-angle triangle congruence Statement 6: ARSO APSQ Reason 6: Side-angle-side triangle congruence Statement 6: ARSQ = APSO Reason 6: Angle-angle-side triangle congruence Statement 6: ARSO APSQ Reason 6: Angle-side-angle triangle congruence

1. Use parallelogram OPQR below to complete the proof that shows SO SQ. R 0 Q P 1. Statements ZORPZQPR ZQRPZOPR 2. RP RP 3. ARPO APRQ 4. PORQ 5. ZRSQ ZPSO 6. Statement 6 7. SO SQ Reasons 1. Given 2. Reflexive property of congruence 3. Angle-side- angle triangle congruence 4. CPCTC 5. Vertical angles 6. Reason 6 7. CPCTC Statement 6: ARSQ = APSO Reason 6: Angle-side-angle triangle congruence Statement 6: ARSO APSQ Reason 6: Side-angle-side triangle congruence Statement 6: ARSQ = APSO Reason 6: Angle-angle-side triangle congruence Statement 6: ARSO APSQ Reason 6: Angle-side-angle triangle congruence

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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1. Use parallelogram OPQR. below to complete the proof that shows SO SQ. R 0 Q 1. Statements ZORPZQPR ZQRP P 2. RP RP ZOPR 3. ΔΩΡΟ = ΔΡRΟ 4. PORQ 5. ZRSQ/PSO 6. Statement 6 7. SO SQ Reasons 1. Given 2. Reflexive property of congruence 3. Angle-side- angle triangle congruence 4. CPCTC 5. Vertical angles 6. Reason 6 7. CPCTC Statement 6: ARSQ ≈ APSO Reason 6: Angle-side-angle triangle congruence Statement 6: ARSO ≈ APSQ Reason 6: Side-angle-side triangle congruence Statement 6: ARSQ ≈ APSO Reason 6: Angle-angle-side triangle congruence Statement 6: ARSO APSQ Reason 6: Angle-side-angle triangle congruence
Transcribed Image Text:1. Use parallelogram OPQR. below to complete the proof that shows SO SQ. R 0 Q 1. Statements ZORPZQPR ZQRP P 2. RP RP ZOPR 3. ΔΩΡΟ = ΔΡRΟ 4. PORQ 5. ZRSQ/PSO 6. Statement 6 7. SO SQ Reasons 1. Given 2. Reflexive property of congruence 3. Angle-side- angle triangle congruence 4. CPCTC 5. Vertical angles 6. Reason 6 7. CPCTC Statement 6: ARSQ ≈ APSO Reason 6: Angle-side-angle triangle congruence Statement 6: ARSO ≈ APSQ Reason 6: Side-angle-side triangle congruence Statement 6: ARSQ ≈ APSO Reason 6: Angle-angle-side triangle congruence Statement 6: ARSO APSQ Reason 6: Angle-side-angle triangle congruence
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