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Locus
Five Basic Loci
5
Mathematics
10th Grade
05/04/2011

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Term
Condition: Locus at a fixed distance d from a line l.
Definition
Locus: Two lines parallel to line l and each at distance d from line l.
equation: line (+,-) units told.
Term
Condition: Locus at a fixed distance d from a given pint P.
Definition
Locus: A circle with radius d and center P.
equation: (x-h)2 + (y-k)2 = r2
Term
Condition: Locus equidistant from two points A and B
Definition
Locus: the perpendicular bisector of the segments whose endpoints are A and B.
Find the slope (rise over run) (y1-y2 / x1-x2) then find midpoint of both points then change slope to its negative recipricle and plug into y=mx+b and solve for b.
Term
Condition: Locus equidistant from two parallel lines.
Definition
Locus: A line parallel to the pair of lines and midway between them. Add y-intercepts (b) and divide by 2.
Term
Condition: Locus equidistant from two intersecting lines.
Definition
Locus: the bisectors of each pair of vertical andgles formed by the lines.
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