
Concept explainers
To fill : In the blanks in the table using the given information.

Answer to Problem 19WE
Statement | Reasons | ||
1. | A , M and B have coordinates a, x and b respectively; | 1. | Given information |
2. | 2. | Ruler | |
3. | M is the mid-point of | 3. | Given information. |
4. | 4. | Definition of mid-point theorem | |
5. | 5. | Substitution Property(Step 2 and Step 4) | |
6. | 6. | Addition Property from algebra | |
7. | 7. | Division property from algebra |
Explanation of Solution
Given information : Given that points A and B have coordinates a and b ;
The conditional “If A and B have coordinates a and b, with
The reasons used in the proof are to be filled in the table that follows.
Statement 1 states that A , M and B have coordinates a , x and b which are given so the reason used to prove it is “Given information”.
Consider the figure which is given, pointsa , x and b are aligned in such a way that the distance between either ofA , M and B equals the absolute value of the difference of the coordinates, So the reason for
Statement 3 states that M is the mid-point of
The midpoint theorem states that ifM is the mid-point of
Consider step 2 and step 4, substitute
Consider
Division property from algebra states that if
Statement | Reasons | ||
1. | A , M and B have coordinates a, x and b respectively; | 1. | Given information |
2. | 2. | Ruler Angle Postulate | |
3. | M is the mid-point of | 3. | Given information. |
4. | 4. | Definition of mid-point theorem | |
5. | 5. | Substitution Property(Step 2 and Step 4) | |
6. | 6. | Addition Property from algebra | |
7. | 7. | Division property from algebra |
Chapter 2 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
A First Course in Probability (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning

