1 2 Points, Lines, And Planes

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Prentice Hall Geometry Chapter 1 Section 2

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1 2 Points, Lines, And Planes

  1. 1. 1-2 Points, Lines, and Planes<br />L.E.Q. How do you explain the basic terns and postulates of geometry?<br />
  2. 2. A location.<br />Without size.<br />Represented by a dot.<br />Named by a capital letter.<br />What is a point?<br />“Point A”<br />
  3. 3. The set of all points.<br />What is space?<br />
  4. 4. A series of points that extends in two opposite directions without end.<br />You can name a line by any two points on the line with a little line symbol above them.<br />What is a line?<br />A<br />B<br />
  5. 5. Points that lie on the same line.<br />What does it mean to say collinear?<br />We would say that points A, B, C, and D are collinear.<br />
  6. 6. Are points U, V, and P collinear? If they are, what line do they fall on?<br />Name another set of collinear points.<br />EXAMPLE 1: Identifying Collinear Points.<br />
  7. 7. What is a plane?<br />It is like a flat surface that extends infinitely along its length and width.<br />It has no thickness.<br />
  8. 8. Points and lines in the same plane.<br />What does it mean to say that figures are coplanar?<br />Points G and O are coplanar.<br />
  9. 9. Name the plane represented by the front of the cube.<br />Name the top plane.<br />Name the left plane.<br />Name a diagonal plane.<br />EXAMPLE 2: Naming a Plane.<br />
  10. 10. An accepted statement of fact.<br />What is a postulate/axiom?<br />
  11. 11. Through any 2 points there is exactly ______ line.<br />Postulate 1-1<br />
  12. 12. If 2 lines intersect, then they intersect in exactly ______ __________.<br />Postulate 1-2<br />
  13. 13. If two planes intersect, then they intersect in exactly ______ _________.<br />Postulate 1-3<br />
  14. 14. Through any three noncollinear points there is exacly ______ _________.<br />Postulate 1-4<br />
  15. 15. Explain how a postulate and a conjecture are different.<br />Closure:<br />
  16. 16. Pgs 13 – 15 #s 2 – 66 even.<br />Homework:<br />

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