Chapter 2
38
13. Explore:
There are five points, and each pair is
to be connected by a segment.
Plan:
Draw a diagram.
Solve:
Connect each point with every other point.
Then, count the number of segments. Between
every two points there is exactly one segment. For
the five points, ten segments can be drawn.
Examine:
The ten segments that can be drawn
are
AB
,
AC
,
AD
,
AE
,
BC
,
BD
,
BE
,
CD
,
CE
, and
DE
.
14. Explore:
There are six points, and each pair is to
be connected by a segment.
Plan:
Draw a diagram.
Solve:
Connect each point with every other point.
Then, count the number of segments. Between
every two points there is exactly one segment. For
the 6 points, 15 segments can be drawn.
Examine:
The 15 segments that can be drawn
are
AB
,
AC
,
AD
,
AE
,
AF
,
BC
,
BD
,
BE
,
BF
,
CD
,
CE
,
CF
,
DE
,
DF
, and
EF
.
15. Explore:
There are seven points, and each pair is
to be connected by a segment.
Plan:
Draw a diagram
Solve:
Connect each point with every other point.
Then, count the number of segments. Between
every two points there is exactly one segment. For
the 7 points, 21 segments can be drawn.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Euclidean geometry

Click to edit the document details