Different planes in a figure:

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1 Different planes in a figure: A B C D E F G H Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc.

description

Different planes in a figure:. A. B. Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc. D. C. E. F. H. G. Other planes in the same figure:. Any three non collinear points determine a plane!. Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc. - PowerPoint PPT Presentation

Transcript of Different planes in a figure:

Page 1: Different planes in a figure:

1

Different planes in a figure:

A B

CD

EF

GH

Plane ABCD

Plane EFGH

Plane BCGF

Plane ADHE

Plane ABFE

Plane CDHG

Etc.

Page 2: Different planes in a figure:

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Other planes in the same figure:

Any three non collinear points determine a plane!

H

E

G

DC

BA

F

Plane AFGD

Plane ACGE

Plane ACH

Plane AGF

Plane BDG

Etc.

Page 3: Different planes in a figure:

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Coplanar Objects

Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible.

H

E

G

DC

BA

F

Are the following points coplanar?

A, B, C ?A, B, C, F ?H, G, F, E ?E, H, C, B ?A, G, F ?C, B, F, H ?

YesNo

YesYesYesNo

Page 4: Different planes in a figure:

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Intersection of Figures

The intersection of two figures is the set of points that are common in both figures.

The intersection of two lines is a point.

m

n

P

Continued…….

Line m and line n intersect at point P.

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Intersection of a Line and a Plane

(1) Line passes through plane – intersection is a point.

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Intersection of Two Planes is a Line.

P

R

A

B

Plane P and Plane R intersect at the line AB�������������� �


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Figure planes

Figure planes

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