Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1

Lesson 12: Equidistance—A Focus on Distance



  1. A treasure is buried at a location equidistant from points R and S on the
    ground precisely 10 meters away from point Tͼ௘6HHFigure 12.7௘ͽ
    This may or may not be enough information to determine the exact location
    of the treasure.
    D௘ͽ 'UDZDGLDJUDPWRVKRZWKDWWKHLQIRUPDWLRQLQWKHFOXHPLJKWQDUURZ
    the location of the treasure to one of two possible locations.
    E௘ͽ 'UDZDGLDJUDPWRVKRZWKDWLIWKHGLVWDQFHVEHWZHHQSRLQWVT, R, and S are just right, the information
    in the clue could narrow the location of the treasure to a single location.

  2. Given: mSJL‘ 90°.
    TK is the perpendicular bisector of JL.
    Prove: T bisects SL.
    ͼ௘6HHFigure 12.8௘ͽ

  3. For four given points in the plane, is there sure to be a single location P that is equidistant from all four?


T


S


R


Figure 12.7

S


JK L


T


Figure 12.8
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