1.1 Points, Lines, and Planes.notebook
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(0,2) (1, 5) (-1,-1) y = 3x + 2
Are these points collinear?
(2,3) (1, 2) (-1,-2) y = x + 4
Example 3:
a.) Find 3 pts on y = -3x +3b.) Graph the linec.) Name one point not on the line
Example 4:
a.) b.) c.) check
1.1 Points, Lines, and Planes.notebook
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a.) are the poınts s,t,u collınear? b.) are the poınts r,s,t coplanar?c.) use 3 poınts to defıne a plane other than plane m.
m
u
tr
s
Example 5:
*collinear
*noncollinear
*coplanar
*noncoplanar
Find 3 points that are:
1.1 Points, Lines, and Planes.notebook
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has two poınts called endpoınts
lıne segment
wrıtten as: ab or l
A
B
l
raybegıns at a poınt andcontınues ındefınıtely
wrıtten as: ab
AB
1.1 Points, Lines, and Planes.notebook
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• point• segment• plane• collinear pts• coplanar pts
Using these pictures,identify thefollowingfor each
1.1 Points, Lines, and Planes.notebook
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Example 6:
IntersectionsTwo or more geometric figures intersect if they have one or more points in common. The intersection of the figures is the set of points the figures have in common.
m
n
A
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Example 7:
Through any 2 points, there is exactly one line. BA
Through any 3 points not on the same line, there is exactly one plane.A plane contains at least 3 points not on the same line.
If two points lie in a plane, then the entire line containing those 2 points lie in that plane.
If 2 planes intersect, then their intersection is a line.
A
C
B
AB
POSTULATES to know...
1.1 Points, Lines, and Planes.notebook
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name each of the followıng lınes ın 2 dıfferent ways.
1.
2.
3.
M A
AB
C
PMl
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