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Introduction |
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Sometimes it is necessary in geometry to specify the location of all points satisfying one or more conditions. |
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Locus of Point Equidistant from two given points |
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A locus of points is the set of points, and only those points, that satisfy given conditions - Every point satisfying the given conditions lies on the locus. |
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Theorem1 |
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The locus of a point equidistant from two fixed points is the perpendicular bisector of the segment joining the two points. |
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Locus of Point Equidistant from two intersecting lines |
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The locus of points equidistant from the sides of a given angles is the bisector of the angle. |
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Theorem2 |
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The locus of a point equidistant from two intersecting lines is the pair of lines bisecting the angles formed by the given lines. |
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Summary |
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The locus of points equidistant from two fixed points is the perpendicular bisector of the segment joining them. |
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Questions and Answers |