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Day Problems 9/12/12. Name the intersection of plane AEH and plane GHE. What plane contains points B, F, and C? What plane contains points E, F, and D?. 1.3 Measuring Segments 9/12/12. Postulate 1.5 – Ruler Postulate Every point on a line can be paired with a real number.

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Day problems 9 12 12
Day Problems 9/12/12

  • Name the intersection of plane AEH and plane GHE.

  • What plane contains points B, F, and C?

  • What plane contains points E, F, and D?


1 3 measuring segments 9 12 12
1.3 Measuring Segments 9/12/12

  • 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
Measuring Segment Lengths

  • What is ST?

  • What is SV?

  • What is UV?

  • What is TV?


Measuring segment lengths1
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
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
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




Day problems 9 12 12

  • 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
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 = 41 + 41 = 82.


More practice
More Practice!!!!!

  • Classwork – Textbook p. 24 #7 – 21 ODD.

  • Homework – Textbook p. 24 #8 – 22 EVEN.