Refer to the figures below. Given [math]\overline{AB} \cong \overline{BC}[/math], is the set of points with center [math]B[/math] a circle? Given [math]\overline{XY} > \overline{YZ}[/math], is the set of points with center [math]Y[/math] a circle?
[list=1] [*]The set of points with center [math]B[/math] is a circle because all points are equidistant from the center, [math]B[/math]. [*]The set of points with center [math]Y[/math] is not a circle because the points vary in distance from the center, [math]Y[/math]. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Coordinate Algebra[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.