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# Geometry Ch 10/11

Term | Definition |
---|---|

image | The new figure that is produced in a transformation |

preimage | The original figure in a transformation |

isometry | A transformation that preserves length and angle measure |

vector | A quantity that has both direction and magnitude |

component form | The form of a vector that combines (horizontal,vertical) components |

matrix | A rectangular arrangement of numbers in rows and columns |

element | A number in a matrix |

dimensions | The numbers of rows and columns in a matrix |

line of reflection | Creates a mirror image of the original figure |

center of rotation | A fixed point used to turn a figure in rotation |

angle of rotation | The angles made by rays formed from the center of rotation to the image |

glide reflection | A transformation where every point moves and then reflects across a line |

composition of transformations | The result when two or more transformations are combined to produce a single transformation |

line symmetry | A figure in the plane can be mapped onto itself by a reflection in a line |

rotational symmetry | A figure can be mapped onto itself by a rotation of 180 degrees or less around the center of symmetry |

scalar multiplication | The process of multiplying each element of a matrix by a real number, or scalar |

circle | The set of all points in a plane that are equidistant from a given point |

center | The point in the center of the circle |

radius | A segment whose endpoints are the center of the circle and a point in a circle |

diameter | A chord that passes through the center of a circle |

chord | A segment whose endpoints are on a circle |

secant | A line/segment/ray that intersects a circle in two points |

tangent | A line/segment/ray that intersects the circle in exactly one point, the point of tangency |

central angle | An angle whose vertex is in the center of a circle |

minor arc | Part of a circle that measures less than 180 degrees |

major arc | Part of a circle that measures between 180 degrees and 360 degrees |

semicircle | An arc with endpoints that are the end of a diameter of a circle |

congruent circles | Two circles that have the same radius |

congruent arcs | Two arcs that have the same measure and are arcs of the same circle or congruent circles |

inscribed angle | An angle whose vertex is on a circle and whose sides contain chords of the circle |

intercepted arc | The arc that lies in the interior of an inscribed angle and has endpoints on the angle |

standard equation of a circle | The center (a,b) and radius r is (x-a)^2+(y-b)^2=r^2 |

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