Concept explainers
(a)
Describe the location of points farther from both R and S than from T.
(a)
Answer to Problem 17WE
Interior of
Explanation of Solution
Given:
Point P is equidistant from R , S , and T.
Calculation:
P is equidistant from R, S , and T .
So , any point inside the angle XPY will be closer to T than from R and S , as clearly they are closer to T and at P , all are equidistant from all three points R, S , and T.
(b)
Describe the location of points closer to both R and S than to T.
(b)
Answer to Problem 17WE
Vertically Opposite angle of angle XPY.
Explanation of Solution
Given:
Point P is equidistant from R , S , and T.
Calculation:
P is equidistant from R, S , and T .
So , any point inside the angle XPY will be closer to T than from R and S , as clearly they are closer to T and at P , all are equidistant from all three points R, S , and T.
Hence , any point that will be in the angle opposite to XPY will be farther to T than from R and S , as P is equidistant from all the three points R, S , and T.
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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