Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Given: E is the midpoint of AC, DE = EC Prove: DE= AE D Statements Reasons 1. E is the midpoint of AC 1. 2. 2. Definition of Midpoint 3. 3. Given 4. AE = DE 4. 5. 5. Definition of Congruence 6. DE = AE 6. Given: RS = -RT T. R S Prove: S is the midpoint of RT Statements Reasons RT 1. RS = 1. 2. 2RS = RT 2. 3. 3. Segment Addition Postulate 4. 2RS = RS + ST 4. 5. RS = ST 5. 6. 6. Definition of Midpoint Given: Mis the midpoint of LN , N is the midpoint of MO 6, M N Prove: LM NO Statements Reasons 1. Mis the midpoint of LN 1. 2. LM = MN 2. Definition of Midpoint 3. 3. Given 4. MN = NO 4. 5. 5. Transitive Property of Equality 6. 6. Definition of Congruence O Gina il
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Transcribed Image Text:Given: E is the midpoint of AC, DE = EC Prove: DE= AE D Statements Reasons 1. E is the midpoint of AC 1. 2. 2. Definition of Midpoint 3. 3. Given 4. AE = DE 4. 5. 5. Definition of Congruence 6. DE = AE 6. Given: RS = -RT T. R S Prove: S is the midpoint of RT Statements Reasons RT 1. RS = 1. 2. 2RS = RT 2. 3. 3. Segment Addition Postulate 4. 2RS = RS + ST 4. 5. RS = ST 5. 6. 6. Definition of Midpoint Given: Mis the midpoint of LN , N is the midpoint of MO 6, M N Prove: LM NO Statements Reasons 1. Mis the midpoint of LN 1. 2. LM = MN 2. Definition of Midpoint 3. 3. Given 4. MN = NO 4. 5. 5. Transitive Property of Equality 6. 6. Definition of Congruence O Gina il
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