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# Transformations

### Chapter 8 Transformations

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

angle of rotation | the angle through which a point is rotated under a rotation |

center of dilation | the point about which a figure is dilated under a dilation |

center of rotation | the point about which a point is rotated under a rotation |

clockwise | in the direction that a clock hand moves |

counterclockwise | in the opposite direction that a clock hand moves |

dilation | a transformation that assigns to each point A on the plane a point A' such that from a given point O, OA = kOA' and A, O, and A' lie along the same line |

half turn | a 180 degree rotation |

image | the resulting figure after a transformation |

invariant point | a point that remains unchanged, or a point that is mapped onto itself, under a transformation |

isometry | a transformation that preserves lengths and angle measures |

line of reflection | the given line of a reflection that is the perpendicular bisector of all segments formed by a point and its image |

map | to assign to each point on a plane its image under a transformation |

reflection | a transformation that maps each point A on a plane to a point A' such that a given line is the perpendicular bisector of line segment AA'. |

rotation | a transformation that maps each point A on a plane to a point A' such that, given a center O, m of angle AOA' is a given angle measure and AO = A'O |

scale factor | the ratio of a length A'B' of a figure's image to the length AB of the original figure under a dilation |

transformation | a function that maps each point to its corresponding point on the plane |

translation | a transformation that maps each point A on a plane to a point A' such that line segment AA' is the same length and has the same direction for all points on the plane |

Created by:
cazenger