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of Midpoint, Definition of Congruence, ốf Congruence (Reflexive, Symmetric, and Transitive) 26. Given: Q is the midpoint of PR Ris the midpoint of QS Prove: PQ = QS %3D Statements Reasons 1. Q is the midpoint of PR 1. 2. Ris the midpoint of QS 2. 3. PQ = QR; QR = RS %3D %3D 4. РО 3D RS 4. 5. PQ + PQ = PQ + RS 5. 6. 2PQ = PQ + RS 6. %3D 7. 7. 2PQ = QR + RS %3D 8. 8. QR+ RS = QS 9. %3D 10. 10. РО OS %3D 3.

of Midpoint, Definition of Congruence, ốf Congruence (Reflexive, Symmetric, and Transitive) 26. Given: Q is the midpoint of PR Ris the midpoint of QS Prove: PQ = QS %3D Statements Reasons 1. Q is the midpoint of PR 1. 2. Ris the midpoint of QS 2. 3. PQ = QR; QR = RS %3D %3D 4. РО 3D RS 4. 5. PQ + PQ = PQ + RS 5. 6. 2PQ = PQ + RS 6. %3D 7. 7. 2PQ = QR + RS %3D 8. 8. QR+ RS = QS 9. %3D 10. 10. РО OS %3D 3.

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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pic 8: Segment Proofs KNOW THE FOLLOWING: Segment Addition Postulate, Definition of Midpoint, Definition of Congruence., Properties of Congruence (Reflexive, Symmetric, and Transitive) 26. Given: Q is the midpoint of PR Ris the midpoint of QS Prove: PQ = QS Statements Reasons 1. Q is the midpoint of PR 1. 2. R is the midpoint of QS 2. 3. PQ = QR; QR = RS 3. 4. РО %3D RS 4. 5. PQ + PQ = PQ + RS 5. 6. 2PQ = PQ + RS 6. 7. 2PQ = QR + RS 7. 8. 8. QR + RS = QS 9. 9. 2PQ = QS 10. 10. PQ = OS D 27. Given: AB = CD; CE = AE Rossons Prove: ED = EB В C Reasons Statements leinnary 1. 1. AB = CD; CE = AE 2. 2. AB = CD; CE = AE 3. 3. AE + EB = AB; CE + ED = CD 4. 4. CE + EB = CD 5. 5. CE + ED = CE + EB 6. 6. ED = EB 7. 7. ED = EB on
Transcribed Image Text:pic 8: Segment Proofs KNOW THE FOLLOWING: Segment Addition Postulate, Definition of Midpoint, Definition of Congruence., Properties of Congruence (Reflexive, Symmetric, and Transitive) 26. Given: Q is the midpoint of PR Ris the midpoint of QS Prove: PQ = QS Statements Reasons 1. Q is the midpoint of PR 1. 2. R is the midpoint of QS 2. 3. PQ = QR; QR = RS 3. 4. РО %3D RS 4. 5. PQ + PQ = PQ + RS 5. 6. 2PQ = PQ + RS 6. 7. 2PQ = QR + RS 7. 8. 8. QR + RS = QS 9. 9. 2PQ = QS 10. 10. PQ = OS D 27. Given: AB = CD; CE = AE Rossons Prove: ED = EB В C Reasons Statements leinnary 1. 1. AB = CD; CE = AE 2. 2. AB = CD; CE = AE 3. 3. AE + EB = AB; CE + ED = CD 4. 4. CE + EB = CD 5. 5. CE + ED = CE + EB 6. 6. ED = EB 7. 7. ED = EB on
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