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1‐3:Measuring Segments RulerPostulate • Every point on a line can be paired with a real one-to-one number. This makes a ____________ correspondence ___________________ between the points on the line and the real numbers. The real number that coordinate corresponds to a point is called the ____________ of the point. What’s the distance between A and B? a 1 b3 3 1 2 A B 1 DistanceFormula(onanumberline) • Take the absolute value of the difference of the coordinates of two points: AB a b AB means the distance from A to B Example 1: What is CD? B C D 2 10 CD c d E CD 2 10 CD 10 2 CD 8 8 CD 8 8 • Postulate 1‐6: Segment Addition Postulate • If three points A, B and C are collinear and B is between A and C, then: AB BC AC AC A B C BC AB Example 2: If LN=32, what are LM and MN? L 3x 8 M 2x 4 N Complete Got It? #2 p.21 3 x 8 2 x 4 32 LM 3(4) 8 20 JK 42 5 x 12 32 MN 2(4) 4 12 KL 78 5 x 20 x4 2 Vocabulary • Congruent Segments • Two or more segments that have the same length • Symbol ≅ • Midpoint • Point that divides a segment into two congruent segments. • Segment Bisector • Point, line, ray or other segment that intersects a segment at its midpoint. • Divides segment into two equal length segments. AC RT Example3:isasegmentbisectorof. RS , ST and RT ? Whatare C What do you know? RS ST How do you use what you know? 7 x 3 3x 1 Solve 7 x 3 3x 1 4x 4 x 1 R 7x 3 S 3x 1 T A Substitute RS 7(1) 3 4 ST 3(1) 1 4 RT 4 4 8 3 Homework:p.24#’s10‐16,19‐22,25‐29,39,43,48‐56even 4