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- StudyBlue
- California
- Squaw Valley Academy
- Precalculus
- Hancock
- Chapter 10 Vocab

Kat L.

analytic geometry

the study of coordinate geometry from an algebraic perspective

asymptotes

a line that a graph approaches but never intersects

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axis of symmetry

a line about which a figure is symmetric

center

middle point

concentric

circles with the same center

conic section

a curve determined by the intersection of a plane with a double right cone

conjugate axis

the segment perpendicular to the transverse axis of a hyperbola through its center

degenerate conic

the intersection of a plane with a double right cone resulting in a point, a line, or two intersecting lines

directix

the locus of all points in a given plane that are the same distance from a given point, called a focus, and a given line, called the directrix

eccentricity

the ratio of the distance between any point of a conic section and a fixed point t the distance between the same point of the conic section to a fixed line

ellipse

the locus of all points in a plane such that the sum of the distances from the two given points in the plane, called the foci, is constant

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equilateral hyperbola

a hyperbola with perpendicular asymptotes

focus

the locus of all pints in a given plane that are the same distance from a given point, called the focus

hyperbola

the focus of all points in a plane such that the absolute value of the difference of the distances from the two given points, called the foci, is constant

locus

a set of points and only those points that satisfy a given set of conditions

major axis

the axis of symmetry of an ellipse which contains the foci

minor axis

the axis of symmetry of an ellipse which does not contain the foci

radius

the length from the center of a circle to the edge

rectangular hyperbola

a special case of the equilateral where the coordinate axes are the asymptotes; the general equation of a rectangular hyperbola is xy=c where c is a nonzero constant

semi-major axis

one of the two segments into which the center of an ellipse divides the major axis

semi-minor axis

one of the two segments into which the center of an ellipse divides the major axis

transverse axis

the line segment that has its vertices at the vertices of a hyperbola

vertex

the common endpoint of two rays

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