Expressing Geometric Properties with Equations
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Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Translate between the geometric description and the equation for a circle.
Translate between the geometric description and the equation for a conic section.