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1.3 Measuring Segments Distance On A Number Line: E1 Find RW 2 4 6 E2 Find XY 06 6 Midpoint On A Number Line: 2 4 E3 RW 1 2 E4 XY 6 0 3 2 distance p2 p1 W X -4 -3 -2 -1 0 R 1 2 3 4 5 Y 6 p2 p1 midpoint 2 W X -4 -3 -2 -1 0 R 1 2 3 4 5 Y 6 Segment Addition: If 3 point are collinear, and B is between A and C, they AB + BC = AC. AB A BC B C AC D E F 9 E5 If DE = 2 and EF = 7, then DF = ___________. 33 8 E6 If DF = 41 and EF = 33, then DE = 41 ___________. 37 14 23 E7 If DE = 14 and DF = 37, then EF = ___________. E8 Find x and PM if M is between P and Q, PM=7x, PQ=45, and MQ=5x-3. 7x P 7 x 5x 3 45 5x-3 M Q 45 PM 7 4 PM 28 12x 3 45 12x 48 x4 E9 Find y and AB if B is between A and C, AB=5y-1, BC=4y+2, and AC=28. 5 y 1 4 y 2 28 A 5 y 1 B 28 4y 2 C AB 5 3 1 AB 14 9 y 1 28 9 y 27 y3 Congruent: When two segments have the same length A B X Y AB XY In figures, little lines are used to show which segments are congruent to each other. Segments that are marked the same are the same. Segment Bisector: A point, line, ray, or segment that intersects a segment at its midpoint P R Q PR RQ S A B C E D 12 E10 If AE = 30 and ED = 2x +6, then x = _________. 30 2x 6 24 2x 8 E11 If BE = 6x – 7 and EC = 5x + 1, then BC = _________. 6 x 7 5x 1 x 8 3 E12 If AE = 8x + 11 and AD = 20x + 10, then ED = _________. 8x 11 ED 20x 10 8x 11 8x 11 20x 10 16x 22 20x 10 12 4x 3 x PWS 1-3 #’s 1-20, 22-32