Do Now Draw and label a figure for each relationship:

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Presentation transcript:

Do Now Draw and label a figure for each relationship:

1.5 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?

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 (8x – 14) + (4x + 1) = 59 12x – 13 = 59 12x = 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 MB

Using the Midpoint Q is the midpoint of PR. What are PQ, QR, and PR? Find x. 6x – 7 = 5x + 1 x – 7 = 1 x = 8 Find PQ and QR. PQ = 6x – 7 = 6 ( 8 ) – 7 = 41 Find PR. PR = PQ + QR = = 82.