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Loci in Geometry
High School Math based on the topics required for the Regents Exam conducted by NYSED. The basic locus theorem and and compound loci.
Locus
Lesson on the laws of locus and compound loci.
This lesson is aligned with the NYS Regents Geometry Curriculum.
Loci 1
Loci 1 - describing and drawing the locus of all points following certain rules.
Loci 2
More on locus of points following rules, this time when more than one rule is being followed
Locus Pocus
Iluustrates the following locus theorems:
Locus Theorem 1: The locus of points at a fixed distance, d, from point P is a circle with the given point P as its center and d as its radius.
Locus Theorem 2: The locus of points at a fixed distance, d, from a line, l, is a pair of parallel lines d distance from l and on either side of l.
Locus Theorem 3: The locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.
Locus Theorem 4: The locus of points equidistant from two parallel lines, l1 and l2, is a line parallel to both l1 and l2 and midway between them.
Locus Theorem 5: The locus of points equidistant from two intersecting lines, l1 and l2, is a pair of bisectors that bisect the angles formed by l1 and l2.
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