1'2: Points, Lines, and Planes Drawing

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1.2 Points, Lines, and Planes (Drawing)

• Intersection the set of points that are
  contained in both figures. (Where they meet!)
• Can two points intersect?
• Can two lines intersect?
• Can two planes intersect?

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• Two Lines intersect at a single point.
• Ex. Draw a figure of line AB, line JK, and line
  RT that all intersect at X.

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• Two Planes intersect in an entire line.
• Imagine the corner of a room it is the
  intersection of two walls.
• Ex. Draw a diagram of two planes Q and P that
  intersect in line AB.

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• Ex. Use the figure at right to determine where
  the two planes intersect.
• 1. Plane ABC and Plane EFH
• 2. Plane BCH and Plane DGH
• 3. Plane BAD and Plane CHG
• 4. Plane AEG and Plane GHC

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• A line and a plane intersect in one specific
  point. (Think of a needle going through a piece
  of fabric.)
• Ex. Draw a diagram to represent the following
  Plane A contains line RS, line XY intersects
  plane A at R.

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• Draw and label a figure for each of the
  following.
• 1. Line m is on plane Q and contains points A
  and B but does not contain point C.

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• 2. Line a, b, and c are coplanar on plane B but
  do not intersect.

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• 3. Plane P contains points R, S, and T which are
  collinear. Point U is noncoplanar to points R,
  S, and T.

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• 4. Line n does not lie on plane G but intersects
  the plane at point I.

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