1. Warm-up

2. Agenda Mini-quiz (1-1, 1-2) Homework Review Enrichment 1-3 Section 1-4 Homework Hand in Definitions

3. Quiz Time

4. Quiz 1-1, 1-2

5. Definitions A line is one of the basic undefined terms in Geometry. Lines have one dimension – length. They consist of an infinite number of points placed side by side. They are named using lower case script letters or by naming two points on the line with a double arrow above them. Example l or A B

6. Study Guide 1-3

7. Practice 1-3

10. Enrichment 1-3

11. Caution – Answers Ahead

12. 1-3 Enrichment 20 in45 in

13. 1-3 Enrichment 6 ft 3 ft 5 ft 9 ft

15. Section 1-4 Measuring Segments A B C l A, B, and C are collinear. B is between A and C.

16. Basic Concepts Postulate – statement that is assumed to be true Number Line d d = |-5 – 10|What is the distance from B to E ?

17. Postulate 1-1 Ruler Postulate Ruler Postulate – The points on any line can be paired with real numbers so that, given any two points P and Q on the line, P corresponds to zero, and Q corresponds to a positive number. P Q What this really means – you can always measure the distance between two points and that distance will always be a positive number.

18. Postulate 1-2 Segment Addition Postulate Segment Addition Postulate – If Q is between P and R, then PQ + QR = PR. If PQ + QR = PR, then Q is between P and R. PQR

19. Example N LM Find LM if L is between N and M, NL = 6x – 5, LM = 2x + 3 and NM = 30.

20. a 2 + b 2 = c 2

21. Example

22. Pythagorean Triplets 345 51213 72425 94041 116061 138485 15112113 17144145 19180181 21220221

23. BC Times

24. Distance Formula Used to measure the distance between two points on a coordinate plane.

25. Example

26. Recap H GI

28. L MN

30. Caution – Answers Ahead

31. Study Guide 1-4

33. Homework SG & P Section 1-4 Enrichment 1-1