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1-3: Measuring Segments

1-3: Measuring Segments. Ruler Postulate. 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. Distance.

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1-3: Measuring Segments

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  1. 1-3: Measuring Segments

  2. Ruler Postulate 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.

  3. Distance • The Ruler Postulate allows you to measure lengths of segments using a given unit and to find distances between points on a number line. • The distancebetween points A and B is the absolute value of the difference of their coordinates. AB = |a – b| *Note: AB represents the length of AB.

  4. Measuring Segment Lengths • What is ST? • What is UV? • What is SV?

  5. Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.

  6. Using the Segment Addition Postulate • If EG = 59, what are EF and FG?

  7. Congruence • When numerical expressions have the same value, you say that they are equal (=). • Similarly, if two segments have the same length, then the segments are congruent () *Note: Segments are can be marked to show congruence.

  8. Comparing Segment Lengths • Are AC and BD congruent? • Is AB congruent to DE?

  9. Midpoints • The midpoint of a segment is a point that divides the segment into two congruent segments. • A point, line, ray, etc. that intersects a segment at its midpoint is said to bisectthe segment and is called a segment bisector.

  10. Using the Midpoint • If Q is the midpoint, what are PQ, QR, and PR?

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