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Warm Up Simplify. 1. 7 – (–3) 10 2. –1 – (–13) 12 3. |–7 – 1| 8 Solve each equation. 4. 2x + 3 = 9x – 11 2 5. 3x = 4x – 5 5 6. How many numbers are there between Infinitely many and ? 13. B, E, A 31. A 14. B, C, D, E 32. N 15. plane ABC 33. A 16. see pictures 34. S 17. see pictures 35. If 2 pts lie in a plane, then the line containing 18. G, J, and l 2 pts also lies in the plane 19. planes T and S 36. ¼ 20. see pics 37. Through any 3 noncollinear pts there is 21. see pics exactly one plan containing them. 22. stakes, bones, squares 39. C 23. see pics 40. F 24. see pics 41. D 25. U 43. 6 26. U 44. 45 27. U 45. n(n – 1)/2 28. If 2 pts lie in a plane, then the line containing 2 pts also lies in the plane Coordinate: Number on ruler that corresponds to a point Distance: between two points is the abs. value of the difference of the coordinates, also called LENGTH Ex. 1: 3½ 4½ Congruent Segments: Segments with same length Use TICK MARKS to show congruent segments. Add a tick mark for each group of congruent segments. Ex. : 1⅓ + YZ = 3 XY + YZ = XZ YZ = 1⅔ DE + EF = DF 3x – 1 + 13 = 6x 3x + 12 = 6x 12 = 3x 4=x DF = 6x = 6(4) = 24 Midpoint: A point that BISECTS, divides, segment into two congruent segments If M is midpoint of AB, then AM = MB. Ex. 4: XR + RS = XS 365 + RS = 2000 XR + RY RS = 1635 365 + 817.5 = 1182.5 m RY = YS = 817.5