Geometry: An Interactive Journey to Mastery

Lesson 12: Equidistance—A Focus on Distance

8. 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.


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


10. 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