Line Segments Section 1.3 Sol:G.4c
Line Segment • Is a part of a line that consists of two points, called endpoints, and all the points between. • Symbolized by: • Distance: The distance between the points A and B written as AB is the absolute value of the difference of the coordinates of x1 and x2. Denoted: AB = |x2 – x1| Name of Points A B x1 x2 Coordinates
Segment addition Postulate • If B is between A and C, then AB + BC = AC. • If AB + BC = AC, Then B is between A and C. A B C
Example 99 miles Bismarck Dickenson Fargo 289 miles The cities shown on the map lie approximately in a straight line. Use the given distances to find the distance from Bismarck to Fargo.
Try These:1. 380 miles 360 miles Lubbick Tulsa St. Louis What is the distance from Lubbick to St. Louis?
36 F G H 2. Use the diagram to Find GH 3. Find y, then find PQ and QR. 21 3y+1 Q P R 2y 21
Try These: Solve for x, then find UT and TS1. 5x - 3 7x U T S 45
Congruent Segments • Line segments that have the same length / measure. • Ex: A B D C AB= CD Equal AB CD Congruent
Example: Find X and ST if S is between R and T • RS = 12, ST = 2x, RT = 34 • RS = 16, ST = 2x, RT = 5x + 10
Assignments Classwork: Workbook Pg 11-12 1-20 even 27,28. Homework: Pg 23-25 1-5, 7,12,14,16,19,20,27,37,38,39