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Standards/Math/Massachusetts/G-GPE.A

G-GPE.A

G-GPE Geometry - Expressing Geometric Properties with Equations
G-GPE.A
G-GPE.A.1G-GPE.A.2G-GPE.A.3
G-GPE.B

Translate between the geometric description and the equation for a conic section.

G-GPE.A.1Derive 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.G-GPE.A.2Derive the equation of a parabola given a focus and directrix.G-GPE.A.3(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
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