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# Algebra 2 Unit 4

cone a geometric solid formed by a circular base and a curved surface that connects the base to a vertex
conic section the intersection of a plane with one or both nappes of a double cone
double cone two cones placed vertex to vertex
nappe one of two pieces of a double cone divided at the vertex
axis of a cone a segment that extends from the vertex of a cone to the center of the base
circle the locus of points in a plane that are equidistant from one point, called the center
locus of points a set of points whose location satisfies a particular description
noncollinear points points that do not lie on the same straight line with other points
circle formula (x-x1)^2+(y-y1)^2=r^2
-1 product of perpendicular slopes
center of a circle the point in the interior of the circle that is equidistant from every point on the circle
circle the locus of points in a plane that are all equidistant from a single point
circumference of a circle the distance around a circle
concentric circles coplanar circles that share a common center
congruent circles circles that have congruent radii
diameter of a circle a segment that passes through the center of the circle and whose endpoints are on the circle
pi a mathematical constant that is equal to the ratio of the circumference of a circle to its diameter
2(pi)r circumference formula
(pi)r^2 area formula
center of an ellipse the intersection of the major axis and the minor axis of an ellipse
co-vertex of an ellipse one of the two points of an ellipse that are closest to the center
eccentricity of an ellipse a measure of how close an ellipse is to being circular
ellipse the locus of points in a plane such that the sum of the distances from any point in the locus to two points, called the foci, is a constant
focus of an ellipse (pl. foci) one of two points in the interior of an ellipse such that the sum of the distances from any point on the ellipse to the foci is a constant
major axis the line through the vertices of an ellipse
minor axis the line through the co-vertices of an ellipse
vertex of an ellipse one of the two points of an ellipse that are furthest from the center
((y-y1)^2)/a^2+((x-x1)^2)/b^2=1 vertical major axis
((x-x1)^2)/a^2+((y-y1)^2)/b^2=1 vertical minor axis; standard
(x1(+-)a, y1) vertex (ellipse, hyperbola)
sqrt a^2-b^2 foci
(sqrt a^2-b^2)/a eccentricity
asymptote of a hyperbola one of two lines through the center of a hyperbola that the hyperbola approaches but never intersects
branch of a hyperbola one of two separate halves of a hyperbola on opposite sides of the center
center of a hyperbola midpoint of the segment connecting the vertices of a hyperbola
conjugate axis the line perpendicular to the transverse axis through the center of a hyperbola
eccentricity of a hyperbola a number which measures the degree of curvature of a hyperbola
focus of a hyperbola one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant
hyperbola the locus of points in a plane such that the difference of the distances to two fixed points called the foci is a constant
transverse axis the line joining the two vertices of a hyperbola
vertex of a hyperbola one of two points of a hyperbola closest to the center
((x-x1)^2)/a^2-((y-y1)^2)/b^2=1. hyperbola standard form
y=+-b/a(x-x1)+y1 asymptote of a hyperbola
directrix of a parabola the line, along with a point not on the line, which is used to generate a parabola
focus of a parabola the point, along with a line not containing the point, which is used to generate a parabola
parabola the locus of points in a plane that are equidistant from a line and a point not on the line
vertex of a parabola the point on a parabola lying halfway between the directrix and focus
y=a(x-h)^2+k parabola vertex form (up/down)
x=a(y-k)^2+h parabola vertex form (left/right)
axis of symmetry a line which divides a parabola into two halves, each of which is the mirror image of the other
y=k-1/4a directrix formula (parabola)
(h, k+(1/4a)) focus formula (parabola)
Created by: why556
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