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Algebra 2 Unit 4
| Question | Answer |
|---|---|
| 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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