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1-1 Points, Lines, and Planes PowerPoint Presentation
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1-1 Points, Lines, and Planes

1-1 Points, Lines, and Planes

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1-1 Points, Lines, and Planes

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  1. 1-1 Points, Lines, and Planes

  2. Real-Life

  3. Vocabulary • Undefined Terms- point, line, and plane are considered undefined terms because they are only explained using examples and descriptions • Point- a location – it does not have shape or size (named by capital letter) • Line- made up of points and has no thickness or width (named by a lowercase letter, or two points on the line) • Plane- a flat surface made up of points that extends infinitely in all directions (named by a capital script letter, or 3 points in the plane) K. B L . P J . Q A m

  4. Vocabulary • Collinear- points that lie on the same line • Coplanar- points that lie in the same plane • Intersection- the set of points that two or more geometric figures have in common • Space- a boundless, 3-D set of all points

  5. Examples Line g ; or line PN Line j; or line MT Plane S; or Plane TNQ

  6. Practice Line q Point B or Point A Line DC Plane G or Plane ABD

  7. Examples • 4. Draw and label a figure for AK and CG intersect at point M in plane T. • 5. How many planes are shown? • 6. Name 3 collinear points: • 7. Are points N, R, S, and W coplanar? Why (not)? T K C M A G 6 SXM No. NRS all lie on plane A, but W is on plane WTQP

  8. Practice • 4. Draw and label a figure for lines q and f intersect at point Z in plane U. • 5. How many planes are shown? • 6. How many of the planes contain points F and E?: • 7. Name 4 points that are coplanar: 5 2 FEAB, or EDCB, or CAFD