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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) |