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# rigid transformation

### Rigid Transformations

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

translation | a slide described by length and direction |

reflection | a flip transformation of an object in a mirror line or reflection line |

rotation | a transformation in which a figure is turned or rotated about a point |

centre of rotation | the point around which an object can be rotated |

dilation | a transformation that changes the size of an object |

line of symmetry a | mirror line that reflects an object onto itself |

rotational symmetry | a figure that maps onto itself more than once in a complete turn |

point symmetry | rotational symmetry of order 2 |

tesselation | an arrangement of shapes that completely covers the plane without overlapping |

A rigid transformation (also called an isometry) | is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". |

A reflection (flip) | is called a rigid transformation or isometry because the image is the same size and shape as the pre-image. |

A translation (slide) | is called a rigid transformation or isometry because the image is the same size and shape as the pre-image |

Rotation ( flip) | the point about which the object is rotated can be inside the figure or anywhere outside it. |

Translation | (x+h, y+k) |

Reflection across the X- Axis | (x,-y) |

Reflection across the Y- Axis | (-x,y) |

Reflection across the Y- Axis | (-x,y) |

Reflection across y=-x | (-y,-x) |

90 degrees counterclockwise or 270 clockwise | (-y,x) |

180 degrees both ways | (-x,-y) |

270 degrees counterclockwise or 90 clockwise | (y,-x) |

4 Types of Transformations | - Rotation - Reflection - Translation - Dilation |

Translation | A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position. |

Rotation | Turning around an axis or center point. |

Reflection | A transformation that "flips" a figure over a mirror or reflection line. |

Created by:
garfieldwhitebooi