are points that lie in the same plane.

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Presentation transcript:

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.

Non-collinear points are points that do not lie on 1 line.

Non-coplanar points are points that do not lie On 1 plane.

Point A is on line 1. Point A is in line 1. Line 1 contains point A. Line 1 is through point A.

The intersection of line 1 and line2 is point A. Intersection means the elements in both sets. Is the symbol for intersection.

Which is in? Which is thru? L1 Which is thru? L2

In? Under? Above? L3 L1 L2

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

Classroom Ex. P. 7 1-10

Classroom Ex. P. 7 11-20

Complete Shapes How many planes are drawn? Add Lines to complete the diagram. 6 How many planes are drawn?

Complete 3-D diagrams 8 Number of Planes = 7 Number of Planes =

Name the segment that go through point V. VRS VST VWR VWT Name the rest of the Planes. RST

Complete the pyramid.

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.

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

Three planes can intersect at a 1 line.

Three planes can intersect at a 1 point.

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 _____

True or False X S T #1 O W True R Y Intersects plane M at point O.

#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.

True or False X #3 S T O W R False Y T, O and R are collinear.

True or False X #4 S T O True W R Y X, O, and Y are collinear.

True or False X #5 S T O True W R Y R, O, S, and W are coplanar.

True or False X #6 S T O W R False Y R, S, T, and X are coplanar.

True or False X #7 S T O True W R Y R, X, O and Y are coplanar.

X #8 S T O No W R Y Does a plane have edges?

X #9 S T O Yes W R Yes Y Can a given point be in 2 lines? Ten lines?

#10 Yes Yes Can a given line be in 2 planes? In 10 planes? X S T O W R

#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, ___

Yes Yes Are there any points in line CG besides C and G? Are there more than 4 points in plane ABCD? Yes

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

C’est fini. The End