1 3 Measuring Segments Postulate 1 5 Ruler
- Slides: 10
1. 3 Measuring Segments • Postulate 1. 5 – Ruler Postulate – Every point on a line can be paired with a real number. – The real number that corresponds to a point is called the coordinate of the point. – Allows you to measure lengths of segments and will allow you to find the distances between points. • The distance between points A and B is the absolute value of the difference of their coordinates.
Measuring Segment Lengths • • What is ST? What is SV? What is UV? What is TV?
Measuring Segment Lengths • • ST = | -4 – 8 | = | -12| = 12 SV = |-4 – 14 | = | -18| = 18 UV = | 10 – 14| = | -4| = 4 TV = |8 – 14| = | -6 | = 6
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.
Using the Segment Addition Postulate • If EG = 59, what are EF and FG? EF + FG = EG (8 x – 14) + (4 x + 1) = 59 12 x – 13 = 59 12 x = 72 x = 6 EF = 8(6) – 14 = 34 FG = 4(6) + 1 = 25
Congruent Segments •
Comparing Segment Lengths •
• The midpoint of a segment is a point that divides the segment into two congruent segments. • A point, line, ray, or other segment that intersects a segment at its midpoint is said to bisect the segment. – The point, line, ray, or segment is called a segment bisector. A M B
Using the Midpoint • Q is the midpoint of PR. What are PQ, QR, and PR? • Find x. 6 x – 7 = 5 x + 1 x – 7 = 1 x = 8 Find PQ and QR. PQ = 6 x – 7 = 6 ( 8 ) – 7 = 41 Find PR. PR = PQ + QR = 41 + 41 = 82.
More Practice!!!!! • Worksheet Handout – DO NOT Write on paper – Show all work
- Opposite rays definition
- Angle addition postulate examples
- 1-3 measuring segments
- Sas congruence theorem
- Angle measures and segment lengths
- Chapter 1 measuring and constructing segments
- Straight angle
- Measuring and constructing segments
- Geometry measuring and constructing segments
- Lesson 1-1 measuring segments and angles
- Measuring and constructing segments