1 3 Measuring Segments Postulate 1 5 Ruler

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1. 3 Measuring Segments • Postulate 1. 5 – Ruler Postulate – Every point

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?

Measuring Segment Lengths • • What is ST? What is SV? What is UV? What is TV?

Measuring Segment Lengths • • ST = | -4 – 8 | = |

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

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

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 •

Congruent Segments •

Comparing Segment Lengths •

Comparing Segment Lengths •

 • The midpoint of a segment is a point that divides the segment

• 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,

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

More Practice!!!!! • Worksheet Handout – DO NOT Write on paper – Show all work