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Published byAmbrose Warren Modified over 8 years ago
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Bell-Ringer
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Simplest figure studied in Geometry Has no definite size Represents a location in space Represented by a dot and a capital letter Points
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Lines A series of straight points Has no definite thickness Continues to infinity in 2 directions Denoted by 2 points on the line and a line over those 2 points or by a lower case letter m A B is denoted by AB or line m
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Planes Infinite set of points that create a flat surface that extends to infinity in ALL directions. No definite thickness No edges Denoted by 1 capital letter or at least three points on that plane. M Plane M Plane ABCD A B C D
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Space The set of ALL points 3 dimensional ( length, width and thickness) No notation (only referred to as “space”)
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Collinear Points Points that lie on the same line **Any 2 points are collinear (even if we can’t see the line)** If you have more than 2 points, it is possible for them to be collinear if 1 line can connect all of them. If there is not 1 line through all of the points, they are called noncollinear points. Diagram:
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Coplanar Points Points that lie in the same plane **One plane can be drawn through any 3 noncollinear points** If a plane cannot be drawn through the given points, they are called noncoplanar points.
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Intersections
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True/False 1. Line XY intersects plane M at point O 2. Plane M intersects XY in more than one point 3. T, O and R are collinear 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 8. Does a plane have edges 9. Can a given point be in 2 lines? In 10 lines? 10. Can a given line be in 2 planes? In 10 planes? M S R X Y T W O
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Complete this activity alone and then compare with seat partner Name a 4 th point in the same plane 1. A, B, C, ____ 2. E, F, H, ____ 3. D, C, H, ____ 4. A, D, E, ____ 5. B, E, F, ____ 6. B, G, C, ____ 7. Are there any points in CG besides C and G 8. Are there more than 4 points in plane ABCD 9. Name the intersection of planes ABFE and BCGF 10. Name 2 planes that do not intersect A D C HG EF B
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Connect Term with Definition PointSet of all points in 2 figures LinePoints in the same line PlaneSet of all points CollinearLocation in space CoplanarFigure that goes to infinity in 2 directions SpaceFlat surface infinite in all directions IntersectionPoints in the same plane
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Homework pg 7-8 #1-10, 13-18, 21-26
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