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Collinear Points. are points on the same line. Co p lanar Points. are points that lie in the same plane. Non-collinear p oints. are points that do not lie on 1 line. Non-co p lanar points. are points that do not lie On 1 plane. Point A is on line 1. Point A is in line 1. - PowerPoint PPT Presentation
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Coplanar Points
C
D
BA
P
DCBA
Collinear Points are points on the same line.
are points that lie in the same plane.
D
C
B
A
Non-collinear points
are points that do not lie on 1 line.
H
G
FE
D
CB
A
Non-coplanar points
are points that do not lieOn 1 plane.
Point A is on line 1.
L1
A
Point A is in line 1.
Line 1 contains point A.
Line 1 is through point A.
L2L1
A
The intersection of line 1 and line2 is point A.
Intersection means the elements in both sets.
Is the symbol for intersection.
Which is in? L2
L1
Which is thru?
L1
L2
In? Under? Above?
L3
L2
L1
L1 L2L3
Which plane containsPoint A ?Point B ?Point C ?Point D ?Line AB ?
DC
B
A
H
V
Both
Both
Both
HV
Classroom Ex. P. 7 1-10Y
X
W
ST
O
R
M
Classroom Ex. P. 7 11-20
D C
HB
A
G
FE
Complete ShapesHow many planes are drawn?
Add Lines to complete the diagram.
How many planes are drawn?6
Complete 3-D diagrams
Number of Planes = 7
Number of Planes = 8
Name the segment that go through point V.
V
T
SR
WName the rest of thePlanes.
VRS
VWTVWR
VST
RST
V
T
SR
W
Complete the
pyramid.
Alternative Plane Drawings
F
ED
CB
A
Note that the intersection of two planes is a line.
AD�������������� �
Therefore, segment AD stretches out to be a line.A real planes goes on for ever.
The boundaries of the planes are only in the model.
G
A
B
C
DE
F
Name the back plane.
Name the left plane.
Name the bottom plane.
Name the top plane.
Name the front plane.
BCF
CDE
ABC
ABG
ADE
H
RL
B
AA
B
A
A
Three planes can intersect at a 1 line.
G
A
B
C
DE
F
Three planes can intersect at a 1 point.
G
FE
D
C
H
RL
B
AA
B
A
A
Point C is in plane _____
Point D is in plane _____
Point E is in plane _____
Point F is in plane _____
Point G is in plane _____
Point A is in plane _____
Point B is in plane _____
H
R
L
H
L
L, R, H
L, R, H
MS
W
O
T
R
Y
X
XY�������������� �
True or False
Intersects plane M at point O.
True
#1
Plane M intersects at more than 1 point.
MS
W
O
T
R
Y
X
XY�������������� �
True or False
False
#2
MS
W
O
T
R
Y
XTrue or False
T, O and R are collinear.
False
#3
MS
W
O
T
R
Y
XTrue or False
X, O, and Y are collinear.
True
#4
MS
W
O
T
R
Y
XTrue or False
R, O, S, and W are coplanar.
True
#5
MS
W
O
T
R
Y
XTrue or False
R, S, T, and X are coplanar.
False
#6
MS
W
O
T
R
Y
XTrue or False
R, X, O and Y are coplanar.
True
#7
MS
W
O
T
R
Y
X
Does a plane have edges?
No
#8
MS
W
O
T
R
Y
X
Can a given point be in 2 lines? Ten lines?
Yes
#9
Yes
MS
W
O
T
R
Y
X
Can a given line be in 2 planes? In 10 planes?
Yes
#10
Yes
Find the fourth point of the plane.
A, B, C, ___
False
#11-16
H G
FE
D C
BA
B, G, C, ___B, E, F, ___A, D, E, ___
D, C, H, ___E, F, H, ___D G G
H A F
H G
FE
D C
BA
Are there any points in line CG besides C and G?
Are there more than 4 points in plane ABCD?
Yes
Yes
H G
FE
D C
BA
Name the intersection of plane ABFE and BCGF.
Name two planes that do not intersect.
BF�������������� �
ABCD & DFGH ABFE & DCGH ADHE & BCGF
C’est fini.
The End
