Circles - Relative Positions
Drag the centers and the points that define the radii to explore the relative positions of the two circles.
Practice Zone
Two circles that are not congruent:
Two circles, and , with centers and respectively, are externally tangent at point . A line through intersects at and at . Show that .
Two circles with centers at and are congruent and secant at points and , and each passes through the center of the other. Show that the line is the angle bisector of .
Two circles with centers at and intersect at points and . Show that the line through the centers is the perpendicular bisector of segment , and that .