Linear Measure and Precision

1
Linear Measure and Precision

• Section 1-2

2
segment a part of a line that consists of 2
points, called endpoints, and all the points
between them
A
C
refers to the segment
refers to the length of
3
Measuring Line Segments

• Unlike a line, a line segment, or segment, can be
  measured because it has two endpoints. The
  length of a segment is only as precise as the
  smallest unit on the measuring device.
• The precision of any measurement depends on the
  smallest unit available on the measuring tool.
  The measurement should be precise to within 0.5
  unit of measurement.

4
Betweenness of Points

• For any two real numbers a and b, there is a real
  number n between a and b such that a lt n lt c.
• Point n is between points a and c iff a, n, and c
  are collinear and an nc ac

c
a
n
5
Constructions

• Constructions are methods of creating geometric
  figures without the benefit of measuring tools.
• Generally, only a pencil, straightedge, and
  compass are used in constructions.

6
Probability and Segment Measure

• Probability (P) of an event
• The probability that a point randomly selected
  on the number line is contained in is

2 mm
6 mm
2 mm
A
B
C
D