Geom: 1-2 Measuring and Constructing Segments Warm Up Simplify. 1. 7 – (–3) 2. –1 – (–13) 3. |–7 – 1| Solve each equation. 4. 2x + 3 = 9x – 11 5. 3x = 4x – 5 6. How many numbers are there between and ? 10 12 8 2 5 Infinitely many

B, E, A 31. A B, C, D, E 32. N plane ABC 33. A see pictures 34. S see pictures 35. If 2 pts lie in a plane, then the line containing G, J, and l 2 pts also lies in the plane planes T and S 36. ¼ see pics 37. Through any 3 noncollinear pts there is see pics exactly one plan containing them. stakes, bones, squares 39. C see pics 40. F see pics 41. D U 43. 6 U 44. 45 U 45. n(n – 1)/2 If 2 pts lie in a plane, then the line containing 2 pts also lies in the plane

Geom: 1-2 Measuring and Constructing Segments 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: 3 ½ 4 ½

Geom: 1-2 Measuring and Constructing Segments Congruent Segments: Segments with same length Use TICK MARKS to show congruent segments. Add a tick mark for each group of congruent segments.

1⅓ + YZ = 3 XY + YZ = XZ YZ = 1⅔ DE + EF = DF 3x – 1 + 13 = 6x Ex. : 1⅓ + YZ = 3 XY + YZ = XZ YZ = 1⅔ DE + EF = DF 3x – 1 + 13 = 6x DF = 6x = 6(4) = 24 3x + 12 = 6x 12 = 3x 4 = x

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 XR + RY 365 + RS = 2000 RS = 1635 365 + 817.5 = 1182.5 m RY = YS = 817.5