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Prove this property of midpoints: If ysu know that M is the midpoint of AB, prove J that AB is two times AM and AM is one-half AB. h E Given Mis the midpoint of AB. A M B Prove AB 2AM, AM -AB STATEMENTS REASONS 1. M is the midpoint of AB. 1. Given 2. 2. Definition of midpoint 3. AM MB 3. 4. AM + MB AB 4. 5. 5. Substitution Property of Equality 6. 6. Distritustive Property 7. AM = AB 7.

Prove this property of midpoints: If ysu know that M is the midpoint of AB, prove J that AB is two times AM and AM is one-half AB. h E Given Mis the midpoint of AB. A M B Prove AB 2AM, AM -AB STATEMENTS REASONS 1. M is the midpoint of AB. 1. Given 2. 2. Definition of midpoint 3. AM MB 3. 4. AM + MB AB 4. 5. 5. Substitution Property of Equality 6. 6. Distritustive Property 7. AM = AB 7.

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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Prove this property of midpoints: If yu knoww that M is the midpeint of AB, prove J that AB is two times AM and AM is one-half AB. M is the midpoint of AB. h Given Prove AB=2AM, AM AB M E STATEMENTS REASONS 1. Mis the midpoint of AB. 1. Given 2. 2. Definition of midpoint 3. AM= MB 3. 4. AM + MB AB 4. 5. 5. Substitution Property of Equality 6. 6. Distrifustive Property 7. AM =AB 7. Use the diagram to solve for x.
Transcribed Image Text:Prove this property of midpoints: If yu knoww that M is the midpeint of AB, prove J that AB is two times AM and AM is one-half AB. M is the midpoint of AB. h Given Prove AB=2AM, AM AB M E STATEMENTS REASONS 1. Mis the midpoint of AB. 1. Given 2. 2. Definition of midpoint 3. AM= MB 3. 4. AM + MB AB 4. 5. 5. Substitution Property of Equality 6. 6. Distrifustive Property 7. AM =AB 7. Use the diagram to solve for x.
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