Millenium Park
Frank Lloyd Wright
Millau Bridge
Sir Norman Foster
Fallingwaters
Frank Lloyd Wright
Point, Lines, Planes, Angles
1.2 CE Points, Lines, and Planes
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
1 XY int er sec ts plane M at pt. O. True
2 Plane M int er sec ts XY
T
M
S
in morethan one pt.
3 T, O, and R are collinear.
R
O
W
4 X, O, and Y are collinear.
5 R, O, S, and W are coplanar.
6
R, S, T, and X are coplanar.
7
R, X, O, and Y are coplanar.
Y
False, only O
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
2 Plane M int er sec ts XY
in morethan one pt.
T
False, only O
3 T, O, and R are collinear.
R
S
O
W
4 X, O, and Y are collinear.
5 R, O, S, and W are coplanar.
6
R, S, T, and X are coplanar.
7
R, X, O, and Y are coplanar.
M
Y
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
2 Plane M int er sec ts XY
in morethan one pt.
T
False, only O
3 T, O, and R are collinear.
False, curved line
4 X, O, and Y are collinear.
5 R, O, S, and W are coplanar.
6
R, S, T, and X are coplanar.
7
R, X, O, and Y are coplanar.
R
M
S
O
W
Y
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
2 Plane M int er sec ts XY
in morethan one pt.
T
False, only O
3 T, O, and R are collinear.
False, curved line
4 X, O, and Y are collinear.
True
5 R, O, S, and W are coplanar.
6
R, S, T, and X are coplanar.
7 R, X, O, and Y are coplanar.
R
M
S
O
W
Y
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
2 Plane M int er sec ts XY
in morethan one pt.
T
False, only O
3 T, O, and R are collinear.
R
False, curved line
4 X, O, and Y are collinear.
True
5 R, O, S, and W are coplanar.
True. They are all in the yellow plane.
6
R, S, T, and X are coplanar.
M
S
O
W
Y
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
2 Plane M int er sec ts XY
in morethan one pt.
T
False, only O
3 T, O, and R are collinear.
R
False, curved line
4 X, O, and Y are collinear.
True
5 R, O, S, and W are coplanar.
True. They are all in the yellow plane.
6
M
S
O
W
Y
R, S, T, and X are coplanar.
False, R, S, and T are in the yellow plane but X is not.
1.2 CE Points, Lines, and Planes
Classify each statement as true or false.
X
5 R, O, S, and W are coplanar.
T
True. They are all in the
yellow plane.
6
S
O
W
R, S, T, and X are coplanar.
False, R, S, and T are in the
yellow plane but X is not.
7
R
M
Y
R, X, O, and Y are coplanar.
True. They are all in the vertical green plane.
1.2 CE Points, Lines, and Planes
X
8 Does a plane have edges?
No. What we draw is
only a model.
The real plane extends
outward forever.
T
R
M
S
O
W
Y
1.2 CE Points, Lines, and Planes
9
X
Can a given point be in two lines?
Yes.
On the right O is on three lines.
Ten lines?
Yes
T
R
M
S
O
W
Y
1.2 CE Points, Lines, and Planes
10
C
Can a given line be in two
planes?
Yes
B
E
D
AD
Ten planes?
A
F
B
L
B
A
A
A
A
R
H
Yes. Think of
pages in a
book.
Name the fourth point that is in the same plane
as the given points.
C
D
11. A, B, C
D
A
H
12. E, F, H
13. D, C, H
F
C
D
A
H
16. B, G, C
G
E
14. A, D, E
15. B, E, F
B
E
B
G
F
Name the fourth point that is in the same plane
as the given points.
C
D
11. A, B, C
D
12. E, F, H
G
A
H
E
13. D, C, H
14. A, D, E
15. B, E, F
B
G
F
C
D
A
H
B
G
16. B, G, C
E
F
Name the fourth point that is in the same plane
as the given points.
C
D
11. A, B, C
D
12. E, F, H
G
13. D, C, H
G
A
H
E
B
G
F
C
D
14. A, D, E
A
15. B, E, F
16. B, G, C
H
E
B
G
F
Name the fourth point that is in the same plane
as the given points.
C
D
11. A, B, C
D
12. E, F, H
G
13. D, C, H
G
14. A, D, E
H
A
H
E
D
A
H
15. B, E, F
16. B, G, C
E
B
G
F
C
B
G
F
Name the fourth point that is in the same plane
as the given points.
C
D
11. A, B, C
D
12. E, F, H
G
13. D, C, H
G
14. A, D, E
H
15. B, E, F
16. B, G, C
A
B
H
G
E
F
C
D
A
A
H
E
B
G
F
Name the fourth point that is in the same plane
as the given points.
C
D
11. A, B, C
D
12. E, F, H
G
13. D, C, H
G
14. A, D, E
H
15. B, E, F
16. B, G, C
A
F
A
B
H
G
E
F
C
D
A
H
E
B
G
F
Name the fourth point that is in the same plane
C
D
as the given points.
Unusual examples.
A
B
H
A, D, G
G
F
E
E, H, C
F
C
D
A
D, F, H
H
E
B
G
F
Name the fourth point that is in the same plane
as the given points.
C
D
Unusual examples.
A, D, G
A
B
H
F
G
E
E, H, C
D, F, H
B
F
C
D
A
H
E
B
G
F
Name the fourth point that is in the same plane
as the given points.
C
D
Unusual examples.
A, D, G
A
H
F
E
E, H, C
B
G
F
B
C
D
D, F, H
B
A
H
E
B
G
F
besides C and G?
A
Yes.
There are an
infinite number of
pts. They are just
not labeled.
Q18. Are there more than 4
points in plane ABCD?
Yes.
There are an
infinite number of
pts. They are just
not labeled.
C
D
Q17. Are there any points on
H
E
B
G
F
planes ABFE and BCGF.
C
D
Q19. Name the intersection of
A
B
H
FB
E
G
F
C
D
A
H
E
B
G
F
C
D
Q20. Name 2 planes that
A
do not intersect.
H
ABCD & EFGH
F
C
A
B
H
G
E
ADFE & DCGH
G
E
D
ADHE & BCGF
B
F
C
D
A
H
E
B
G
F
C’est fini.
Good day and good luck.