Conic sections
Properties of circles worksheets
Find exact circle centers and positive radii from standard and rearranged general equations using whole numbers, fractions and radicals.
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Conic section worksheets
Find exact circle, ellipse, parabola and hyperbola properties, construct equations from geometric information and graph complete conics on equal-scale coordinate grids.
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Circle, ellipse, parabola and hyperbola properties, equations and graphs
Conic sections
Writing equations of circles worksheets
Write exact standard-form circle equations from centers, radii, points, diameters, translations, area, circumference and tangent lines.
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Conic sections
Graphing circles worksheets
Read a circle in standard form, find its center and radius, and graph the complete circle on an equal-scale coordinate grid.
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Conic sections
Properties of ellipses worksheets
Find exact centers, vertices, co-vertices, foci, axis lengths and eccentricity from standard-form ellipse equations.
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Conic sections
Writing equations of ellipses worksheets
Construct exact standard-form ellipse equations from vertices, co-vertices, foci, centers and horizontal widths.
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Conic sections
Graphing ellipses worksheets
Graph standard-form ellipses on equal-scale coordinate grids using exact centers and axial extrema.
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Conic sections
Properties of parabolas worksheets
Find exact vertices, axes, openings, extrema, latus rectum lengths and coordinate intercepts from vertical and horizontal parabola equations.
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Conic sections
Writing equations of parabolas worksheets
Write exact vertical or horizontal vertex-form equations from foci, directrices, intercepts, points or three-point interpolation.
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Conic sections
Graphing parabolas worksheets
Graph unit-coefficient vertical parabolas in vertex form on equal-scale coordinate grids with exact vertices.
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Conic sections
Properties of hyperbolas worksheets
Find exact vertices, foci and opening directions from horizontal and vertical standard-form hyperbola equations.
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Conic sections
Writing equations of hyperbolas worksheets
Construct exact standard-form hyperbola equations from general equations, vertices, foci, conjugate-axis data and asymptotes.
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Conic sections
Graphing hyperbolas worksheets
Graph both visible branches, vertices, construction rectangles and asymptotes on equal-scale coordinate grids.
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Conic sections
Classifying conic sections worksheets
Classify circles, ellipses, parabolas and hyperbolas from standard or general equations, then convert and graph general equations.
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Conic sections
Eccentricity of conic sections worksheets
Find exact eccentricities for circles, ellipses, parabolas and hyperbolas from standard or general equations.
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Standard form displays centers and squared lengths directly. Construction prompts use exact points and distances to determine one equation, while graphing connects those values to equal-scale coordinate pictures. Classification and eccentricity practice compare all four families in one worksheet.