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Understanding Basic Geometry Terms: Points, Lines, Angles, and Planes

In this chapter, we delve into the foundational concepts of geometry, defining essential terms such as points, lines, segments, rays, angles, and planes. Each term is explained with clear representations and notations, making it easier for readers to visualize and understand their meanings. Learn how to identify and differentiate between collinear, non-collinear, coplanar, and non-coplanar elements. This guide serves as an essential resource for building a solid geometry portfolio, helping students and enthusiasts grasp the fundamentals of geometric relationships.

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Understanding Basic Geometry Terms: Points, Lines, Angles, and Planes

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  1. Chapter 1.1 Building Your Geometry Portfolio

  2. “Undefined” Terms • Point – an exact location • Line – never ending straight path • Segment – 2 endpoints and all the points between • Ray – never ending path in ONE direction • Angle – 2 rays with a common endpoint • Plane – never ending flat surface

  3. Point Represented by: a dot Labeled with: Capital Letter Written Notation: point A or A • B • A • C

  4. Line Represented by: a line with arrows at each end Labeled with: 2 Capital Letters or a lower case cursive letter Written Notation: AB Line l l B A

  5. Segment Represented by: 2 dots and a connecting line Labeled with: 2 Capital Letter Written Notation: AB B C D A

  6. Ray Represented by: an endpoint and an arrow Labeled with: 2 Capital Letters Written Notation: FG ML M F G L

  7. Angle Represented by: 2 rays Labeled with: 3 points or the vertex Written Notation: <F, <HFG, or <GFH The Vertex is the common endpoint The Sides are the rays H F G

  8. Plane Represented by: a parallelogram Labeled with: Capital Cursive Letter or 3 non-colinear points Written Notation: plane N or M M L N

  9. Other terms • Intersect – lines, planes, lines & planes • Collinear • Non-collinear • Coplanar • Non-coplanar • Midpoint

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