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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

slide9

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.
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