1. Section 1.3 Segments & Their Measures 1/14

2. Geometric Vocabulary Postulate : Rules that are accepted without proof. Axiom : Synonym for postulate. Theorem : Rules that are proved. 2/14

3. Geometric Notation RB Refers to the NAME of the object (the segment) RB Refers to the MEASUREMENT of the object (length of the segment) 3/14

4. Segment Addition Postulate If B is between A & C, then AB + BC = AC. If AB + BC = AC, then B is between A & C. A B C 4/14

5. Segment Addition Postulate Example #1 A B C AB = 15 cm BC = x cm AC = 41 cm What is the value of x? 5/14

6. Segment Addition Postulate Example #2 A B C AB = x + 5 cm BC = 2x cm AC = 29 cm What is the value of x? 6/14

7. Segment Addition Postulate Example #3 A B C AB = x + 10 cm BC = 24 cm AC = 3x - 2 cm What is the length of AB? 7/14

8. Segment Addition Postulate Example #4 A B C AB = cm BC = cm AC = 18 cm What is the value of x? 8/14

9. Where does the Distance Formula come from? a b c 9/14

10. Distance Formula 10/14

11. Distance Formula Find the length of segment AB if the coordinates are E(-3, 3) and F(1, 6). 11/14

12. Distance Formula Find the length of segment GH if the coordinates are G(4, -3) and H(-1, 9). 12/14

13. Congruent Segments Congruent Segments: segments that have the same length. If, then. AB CD 13/14

14. Homework 1.3 P. 21 4 – 6, 10, 23 – 33, 56 14/14