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Rigid Motion Formula

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# Rigid Motion Formula

### Geometry

Question | Answer |
---|---|

rx-axis(x,y)= | (x,-y) |

ry-axis(x,y)= | (-x,y) |

ry=-x(x,y)= | (-y,-x) |

rx=1/ry=1= | Draw a picture. |

ry=x(x,y)= | (y,x) |

What do you do to points that are dilated by a certain number? | Multiply each coordinate by the dilation. |

How do you create an equation of a dilated line? | Keep the slope, multiply the y-intercept. |

How do you create new coordinates under a translation? | Add/Subtract the numbers next to the T according to their corresponding number. (Can be described as a vector as well.) |

How do you create new points based on 90 degree rotations? | Bring the 2nd number to the front and make it negative. |

Are distances preserved in dilations? | No, but they are proportional. |

Are angles preserved in dilations? | Yes. |

Rorgin(x,y)= | (-x,-y) |

What is the relationship between the ratio of sides and ratio of perimeters? | They are equal. |

What is the relationship between ratio of the sides are ratio of the areas? | (Ratio of sides) squared = ratio of areas. |

Created by:
emarciante9