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Geometry Chapter 1 Essentials of Geometry

Geometry Chapter 1 Essentials of Geometry. 1.1 Identify Points, Lines, and Planes. Undefined Terms have no formal definitions, but there is agreement about what they mean. point line plane.

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Geometry Chapter 1 Essentials of Geometry

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  1. Geometry Chapter 1Essentials of Geometry 1.1 Identify Points, Lines, and Planes

  2. Undefined Terms have no formal definitions, but there is agreement about what they mean • point • line • plane

  3. Point (A) : we just think about it being a dot in space or in a plane that represents a specific location. A A point is represented by a capital letter

  4. Line: think about it being an infinite number of points connecting in a straight orientation moving in both directions forever A line is represented by two points and a line with two arrow heads on each end l A B line l

  5. Plane Plane ABC Think of a plane as being a 2 dimensional flat surface that continues forever without bending. 3 noncollinear points if connected create a triangle that lies in a plane. You name a plane using 3 noncollinear points.

  6. Defined Terms • Line segment • ray

  7. Line Segment: A B part of a line with two endpoints A line is represented by two points and a line with two points on each end

  8. Ray A B part of a line that has one endpoint A ray is represented by one points and a line with one arrow head

  9. Opposite Rays An opposite ray is represented by a shared endpoint points and a line with one arrow head pointing in the opposite direction C B A

  10. C A B Collinear: When points lie on the same line they are collinear. The word betweeness in geometry implies that all points are collinear A lies between C and B. A, B, C are collinear.

  11. E F B A G H C D Coplanar: When points lie on the same plane they are coplanar.

  12. Parallel Planes Parallel planes are planes that DO NOT intersect.

  13. Perpendicular Planes Perpendicular planes intersect at a right angle. b a c

  14. Intersecting Planes Planes that intersect create a line at all of the intersecting points.

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