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## Section 10-6

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**Section 10-6**The Meaning of Locus**Locus**A figure that is the set of all points, and only those points, that satisfy one or more conditions**1 cm**1 cm 1 cm 1 cm 1 cm k Given line k, find the locus of points that are 1 cm from k in a plane. The locus is a pair of lines parallel to, and 1 cm from, k.**1 cm**k Given line k, find the locus of points that are 1 cm from k in space. The locus is a cylindrical surface with axis k and a 1 cm radius.**Find the locus of points in a plane 2 cm from circle O with**radius 5cm. 2 2 5cm The locus of points is two concentric circles with center O, one with radius 3cm and one with radius 7cm.**Find the locus of points in space 2 cm from sphere O with**radius 5cm. 2 2 5cm The locus of points is two concentric spheres with center O, one with radius 3cm and one with radius 7cm.**Draw and describe the locus of points in a plane that are**equidistant from the endpoints of segment AB.**Draw and describe the locus of points in space that are**equidistant from the endpoints of segment AB.**Draw and describe the locus of points in a plane that are**equidistant from the sides of angle ABC.**Draw and describe the locus of points in a plane that are**length AB from line a.**Draw and describe the locus of points in space that are**length AB from line a.**Draw and describe the locus of points in a plane that are**midpoints of the radii of circle O with radius 6.**Draw and describe the locus of points in space that are**midpoints of the radii of sphere O with radius 6.**Draw and describe the locus of points in a plane that are**equidistant from the endpoints of diameter AB of circle O.**Draw and describe the locus of points on or in square WXYZ**that are equidistant from all four sides.