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1.1 Points, Lines and Planes CFU 3108.3.2
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Chapter 1 Define and place in your glossary. Line Line segment Point Plane Congruent Segment bisector Collinear Coplanar Precision Accuracy Ray Angle bisector Perpendicular Complementary Angles Supplementary angles Intersection Polygon Concave Convex Regular Polygon Polyhedron Vertex Remember you have 5 minutes to get started.
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Objective and Standard Introduce proper conventions for naming points, lines and planes and identifying intersections of lines and planes. Recognize that a definition depends on undefined terms and on previous definitions. Describe the intersection of lines (in the plane and in space), a line and a plane, or of two planes. Develop the structures of geometry, such as lines, angles, planes, and planar figures, and explore their properties and relationships. Give precise mathematical descriptions or definitions of geometric shapes in the plane and space.
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Key Points PointLinePlane DescriptionLocationTwo pointsSurface (three non- linear points) Model P DrawnA dotWith arrow on each endShaded slanted 4- sided figure Named byA capital LetterThe letters representing two points on the line or a lowercase script letter The letters representing 3 points in the plane or an uppercase script letter FactsNo size or shapeThere is exactly one line through two points One Line through any 3 non-collinear points SymbolPoint P Line n, Line AB or AB Plane T, Plane XYZ, Plane YZX, … A B n X Z Y T
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Name Line & Plan E A B C D l N List two points to name line l AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC List three point names for plane N ABE, ACE, ADE, BCE, BDE, CDE
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Draw Geometric Figures Lines GH and JK intersect at L for G(-1, -3), H(2,3), J(-3, 2) & K(2, -3) Point M is coplanar with these points but not collinear with GH or JK. G H J K L M Graph GH and JK and M Label the Intersection L
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Interpret Drawing F E A C B D G How many planes in the figure? 4 Name three points that are collinear D, B, G Are points G,A,B and E collinear? At what point do EF and AB intersect? P
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Summarize Objective: Introduce proper conventions for naming points, lines and planes and identifying intersections of lines and planes
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Assignment – Block Class Page 8, 14 - 46 even and 62, 64 Assignment – Honors Class Page 9, 32 - 78 Even
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