1. Bellringer

2. 1.4 Measuring Segments and Angles

3. Postulate 1-5 Ruler Postulate

4. Two segments with the same length

5. Comparing Segments lengths BA C DE

6. Postulate 1-6 Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC

7. Using the Segment Addition Postulate If DT = 60, find the value of x. Then find DS and ST. DS T 2x - 83x - 12 DS + ST = DT (2x – 8) + (3x – 12) = 60 5x – 20 = 60 5x = 80 x = 16 Segment Addition Postulate Substitution Simplify Add 20 to each side Divide each side by 5 DS + ST = DT Substitute x = 16 DS = 2x – 8 = 2(16) – 8 = 24 ST = 3x – 12 = 3(16) – 12 = 36

8. Using the Segment Postulate If DT = 100. Find the value of x. Then find DS and ST. x = 15 DS = 40 ST = 60 DS T 4x - 202x + 30

9. Midpoint

10. Finding Lengths A CB 2x + 13x - 4 AC = CB 2x +1 = 3x - 4 2x + 5 = 3x 5 = x Definition of Midpoint Substitution Add 4 to each sides Subtract 2x from each side AC = 2x + 1 = 2(5) + 1 = 11 CB = 3x – 4 = 3(5) – 4 =11 AC + CB = AB 11 + 11 = 22

11. Finding Lengths X ZY 30

12. Homework Pg. 29 #’s 1 – 4, 8-15

13. Bellringer If XT = 12 and XZ = 21, then TZ = 9 X TZ

14. 1.4 CONTINUED Measuring Segments and Angles

15. Is formed by two rays with the same endpoint. The rays are the sides of the angle. The endpoint is the vertex of the angle.

16. Naming Angles

17. Classifying Angles

18. Postulate 1-8 Angle Addition Postulate

19. Using the Angle Addition Postulate

21. Congruent Angles

22. Homework Pg. 30 #’s 16-28 all