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# Math 2 Unit 1

### Transformations/Symmetry

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

Rigid Motion | is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease |

Transformation | a translation, rotation, reflection, or dilation, or combination of these. |

Translation | A translation has a distance and a direction. It moves every point in a figure the given distance in the given direction. |

Rotation | A rotation has a center, an angle, and a direction. It moves every point of a figure in a circle around the center, in the direction specified (clockwise or counterclockwise), and for a distance specified by the angle. |

Reflection | The reflection of a figure across a line takes every point of the figure to a point directly opposite to it on the other side of the line and the same distance from the line. |

Orientation | how the relative pieces of an object are arranged. Rotation and translation preserve orientation, as objects' pieces stay in the same order. |

Parallel | two lines that never intersect |

Perpendicular | two lines intersect at a right angle. |

Perpendicular Bisector | A line which cuts a line segment into two equal parts at 90° |

Symmetry | an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation |

Center of Rotation | a point about which a plane figure rotates. |

Concentric Circles | circles with a common center. |

Angle of Rotation | the measure of the amount that a figure is rotated about a fixed point called a point of rotation |

Corresponding | If a part of the original figure matches up with a part of the copy, we call them corresponding parts. The part could be an angle, point, or side, and you can have corresponding angles, corresponding points, or corresponding sides. |

Preimage | the two-dimensional shape before any transformation |

Image | The moved object is called the imag |