Ac1.2fPracticeProblems

24
Millau Bridge Sir Norman Foster Point, Lines, Planes, Angles Fallingwaters Frank Lloyd Wright Millenium Park Frank Lloyd Wright 1.2 CE Points, Lines, and Planes

description

Practice with notation and nameing points, lines and planes. This is for high school students

Transcript of Ac1.2fPracticeProblems

Page 1: Ac1.2fPracticeProblems

Millau BridgeSir Norman Foster

Point, Lines, Planes, Angles

FallingwatersFrank Lloyd Wright

Millenium ParkFrank Lloyd Wright

1.2 CE Points, Lines, and Planes

Page 2: Ac1.2fPracticeProblems

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

Page 5: Ac1.2fPracticeProblems

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

Page 6: Ac1.2fPracticeProblems

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.

Page 7: Ac1.2fPracticeProblems

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.