To find: the locus of the points that are equidistance from vertices of given square
Answer to Problem 18WE
Required locus is the perpendicular bisector of diagonals of given square.
Explanation of Solution
Given information: Any square
Concept used: Diagonals of a square bisect each other so that this intersecting point always remains at the equal distance from all its four vertices and if this point starts moving following the given condition, it will actually be a perpendicular that passes from this intersecting point of both diagonals as shown in below figure,
Locus of point P that always remains at equal distance from its vertices will be the red line that is perpendicular to the plane of the square and passes through the intersecting point of diagonals.
Chapter 10 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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