Transcript 1-1 Points, Lines, and Planes
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1-1 Points, Lines, and Planes
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Real-Life
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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) A P Q
m
J .
K .
L B .
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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
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Examples
Line g ; or line PN Line j; or line MT Plane S; or Plane TNQ
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Practice
Line q Point B or Point A Line DC Plane G or Plane ABD
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Examples
4. Draw and label a figure for AK and CG intersect at point M in plane T. C
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M K A G 5. How many planes are shown?
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6. Name 3 collinear points: SXM 7. Are points N, R, S, and W coplanar? Why (not)?
No. NRS all lie on plane A, but W is on plane WTQP
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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?
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6. How many of the planes contain points F and E?:
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7. Name 4 points that are coplanar: FEAB, or EDCB, or CAFD