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Geometry Essentials: Identifying Points, Lines, and Planes

Learn the basics of geometry by identifying key elements such as points, lines, and planes. Understand undefined terms, defined terms like line segment and ray, collinearity, coplanarity, parallel, perpendicular, and intersecting planes.

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Geometry Essentials: Identifying Points, Lines, and Planes

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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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