Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
Please find your seat,
have out something to take notes with,
and turn in your signed syllabus sheet into the basket
1.1 Points, Lines, and Planes
NOTES:
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
Algebra Reminder...Quadrants
IIIIII IV
(0,0)
Undefined Terms: cannot be defined by using other figures.
Space: set of all points
P Q
R
A
B
l
3 undefined terms make up the Basic Building Blocks of
Geometry
1. poınts2. lınes3. planes
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
• simplest form• has no size• only has location• represented by a dot• has zero dimensions• name it with a capital letter• represents an ordered pair
ExampleP(2,4)
POINT
LINE
• straight, arrangement of points• has no beginning or end• goes on forever• has one dimensionlength• named by using ANY 2 points
ex AB or BA
ExampleA
B
l
line l or AB
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
Name each of the following lines in 2 different ways.
a.
b.
c.
M A
AB
C
PMl
Example 2:
• flat surface no thickness• extends infinitely in all directions• named by capital script or 3 noncollinear points in a plane
P Q
R
Examples:
R Plane PQR
PLANE
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
The prefix "co" means TOGETHER
Collinear: points are on the same lineC R C and R are coplanar
A D E
A, D, E are colinear
Ex.
**Any two points can be collinear because you can draw a line through them!
Noncollinear: points are not on the same line
**Must be 3 or more points!
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
Coplanar: points are on the same ________or...
lines are on the same__________RC
C, R, & B are coplanar
Ex.B
As any two points are collinear, any three points are coplanar!
Example 1:
a.) Are the points S,T,U collinear? no b.) Are the points R,S,T coplanar? yesc.) Do the points, R,T, U create a plane?
MTR
S
U
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
*collinear
*noncollinear
*coplanar
*noncoplanar
Find 3 points that are:
RAY• A line with a starting point, but no ending. • It looks like an arrow.
written as AB
A B
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
A line that has both a start and end point.
written as AB or l
LINE SEGMENT
A
B
l
Spaghetti Junction, Atlanta, GA
• Where two planes or lines meet. • Two lines intersect at a point.• Two planes intersect at a line.
Intersection:
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
Keep in mind...• You need two points to describe a line.• You need three points to describe a plane.
notation review:
C
A
B
Points A, B, Cline lAB, BASegmentAB, BARay AB, BA (starts at A, points upward)Ray BA, AB (starts at B, points downward)
l
`
Day 1 1.1 Points, Lines, and Planes.notebook August 21, 2013
Classwork:• Points, Lines, and Planes
