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are points that lie in the same plane.
Collinear Points are points on the same line. Coplanar Points are points that lie in the same plane.
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Non-collinear points are points that do not lie on 1 line.
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Non-coplanar points are points that do not lie On 1 plane.
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Point A is on line 1. Point A is in line 1. Line 1 contains point A. Line 1 is through point A.
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The intersection of line 1 and line2 is point A.
Intersection means the elements in both sets. Is the symbol for intersection.
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Which is in? Which is thru?
L1 Which is thru? L2
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In? Under? Above? L3 L1 L2
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Which plane contains Point A ? Point B ? Point C ? Point D ? Line AB ?
Both Which plane contains Point A ? Point B ? Point C ? Point D ? Line AB ? Both V H Both
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Classroom Ex. P
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Classroom Ex. P
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Complete Shapes How many planes are drawn?
Add Lines to complete the diagram. 6 How many planes are drawn?
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Complete 3-D diagrams 8 Number of Planes = 7 Number of Planes =
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Name the segment that go through point V.
VRS VST VWR VWT Name the rest of the Planes. RST
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Complete the pyramid.
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Alternative Plane Drawings
Note that the intersection of two planes is a line. The boundaries of the planes are only in the model. A real planes goes on for ever. Therefore, segment AD stretches out to be a line.
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BCF ABC CDE ABG ADE Name the back plane. Name the left plane.
Name the bottom plane. CDE Name the top plane. ABG Name the front plane. ADE
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Three planes can intersect at a 1 line.
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Three planes can intersect at a 1 point.
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H R H L L L, R, H L, R, H Point C is in plane _____
Point D is in plane _____ R Point E is in plane _____ H Point F is in plane _____ L Point G is in plane _____ L, R, H Point A is in plane _____ L, R, H Point B is in plane _____
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True or False X S T #1 O W True R Y Intersects plane M at point O.
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#2 True or False False Plane M intersects at more than 1 point. X S T
W R False Y Plane M intersects at more than 1 point.
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True or False X #3 S T O W R False Y T, O and R are collinear.
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True or False X #4 S T O True W R Y X, O, and Y are collinear.
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True or False X #5 S T O True W R Y R, O, S, and W are coplanar.
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True or False X #6 S T O W R False Y R, S, T, and X are coplanar.
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True or False X #7 S T O True W R Y R, X, O and Y are coplanar.
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X #8 S T O No W R Y Does a plane have edges?
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X #9 S T O Yes W R Yes Y Can a given point be in 2 lines? Ten lines?
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#10 Yes Yes Can a given line be in 2 planes? In 10 planes? X S T O W R
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#11-16 Find the fourth point of the plane. False D G G H A F
A, B, C, ___ E, F, H, ___ D, C, H, ___ H A F A, D, E, ___ B, E, F, ___ B, G, C, ___
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Yes Yes Are there any points in line CG besides C and G?
Are there more than 4 points in plane ABCD? Yes
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ABCD & DFGH ABFE & DCGH ADHE & BCGF
Name the intersection of plane ABFE and BCGF. Name two planes that do not intersect. ABCD & DFGH ABFE & DCGH ADHE & BCGF
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C’est fini. The End
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