Ac1.2fPracticeProblems
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Transcript of Ac1.2fPracticeProblems
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Millau BridgeSir Norman Foster
Point, Lines, Planes, Angles
FallingwatersFrank Lloyd Wright
Millenium ParkFrank Lloyd Wright
1.2 CE Points, Lines, and Planes
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
1 int sec . .XY er ts planeM at pt O�������������� �
2 int sec
.
PlaneM er ts XY
inmorethanone pt
�������������� �
3 T, O, and R are collinear.
4
5
6
X, O, and Y are collinear.
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
7 R, X, O, and Y are coplanar.
M
OR
ST
W
X
Y
True
False, only O
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
2 int sec
.
PlaneM er ts XY
inmorethanone pt
�������������� �
3 T, O, and R are collinear.
4
5
6
X, O, and Y are collinear.
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
7 R, X, O, and Y are coplanar.
M
OR
ST
W
X
Y
False, only O
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
2 int sec
.
PlaneM er ts XY
inmorethanone pt
�������������� �
3 T, O, and R are collinear.
4
5
6
X, O, and Y are collinear.
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
7 R, X, O, and Y are coplanar.
M
OR
ST
W
X
Y
False, only O
False, curved line
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
2 int sec
.
PlaneM er ts XY
inmorethanone pt
�������������� �
3 T, O, and R are collinear.
4
5
6
X, O, and Y are collinear.
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
7 R, X, O, and Y are coplanar.
M
OR
ST
W
X
Y
False, only O
False, curved line
True
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
2 int sec
.
PlaneM er ts XY
inmorethanone pt
�������������� �
3 T, O, and R are collinear.
4
5
6
X, O, and Y are collinear.
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
M
OR
ST
W
X
Y
False, only O
False, curved line
True
True. They are all in the yellow plane.
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
2 int sec
.
PlaneM er ts XY
inmorethanone pt
�������������� �
3 T, O, and R are collinear.
4
5
6
X, O, and Y are collinear.
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
M
OR
ST
W
X
Y
False, only O
False, curved line
True
True. They are all in the yellow plane.
False, R, S, and T are in the yellow plane but X is not.
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1.2 CE Points, Lines, and PlanesClassify each statement as true or false.
5
6
R, O, S, and W are coplanar.
R, S, T, and X are coplanar.
7 R, X, O, and Y are coplanar.
M
OR
ST
W
X
Y
True. They are all in the yellow plane.
False, R, S, and T are in the yellow plane but X is not.
True. They are all in the vertical green plane.
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1.2 CE Points, Lines, and Planes
8
M
OR
ST
W
X
Y
Does a plane have edges?
No. What we draw is only a model.The real plane extends outward forever.
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1.2 CE Points, Lines, and Planes9
Can a given point be in two lines?
Ten lines?
M
OR
ST
W
X
Y
Yes. On the right O is on three lines.
Yes
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H
RL
B
AA
B
A
A
F
ED
CB
A
1.2 CE Points, Lines, and Planes
10
Can a given line be in two planes?
Ten planes?
Yes AD�������������� �
Yes. Think of pages in a book.
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
11. A, B, C
16. B, G, C
12. E, F, H
13. D, C, H
14. A, D, E
15. B, E, F
D
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
11. A, B, C
16. B, G, C
12. E, F, H
13. D, C, H
14. A, D, E
15. B, E, F
D
G
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
11. A, B, C
16. B, G, C
12. E, F, H
13. D, C, H
14. A, D, E
15. B, E, F
D
G
G
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
11. A, B, C
16. B, G, C
12. E, F, H
13. D, C, H
14. A, D, E
15. B, E, F
D
G
G
H
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
11. A, B, C
16. B, G, C
12. E, F, H
13. D, C, H
14. A, D, E
15. B, E, F
D
G
G
H
A
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
11. A, B, C
16. B, G, C
12. E, F, H
13. D, C, H
14. A, D, E
15. B, E, F
D
G
G
H
A
F
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
A, D, G
E, H, C
D, F, H
F
Unusual examples.
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
A, D, G
E, H, C
D, F, H
F
Unusual examples.
B
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
Name the fourth point that is in the same plane as the given points.
A, D, G
E, H, C
D, F, H
F
Unusual examples.
B
B
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F
GH
E
B
CD
A
Q17. Are there any points on
besides C and G?
Q18. Are there more than 4 points in plane ABCD?
Yes. There are an infinite number of pts. They are just not labeled.
Yes. There are an infinite number of pts. They are just not labeled.
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F
GH
E
B
CD
A
Q19. Name the intersection of
planes ABFE and BCGF.
F
GH
E
B
CD
A
FB�������������� �
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F
GH
E
B
CD
A
F
GH
E
B
CD
A
F
GH
E
B
CD
A
Q20. Name 2 planes that
do not intersect.
ABCD & EFGH
ADHE & BCGF
ADFE & DCGH
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C’est fini.
Good day and good luck.