Notes Transformations: Dilations



Notes Transformations: Dilations

Some examples of what dilations look like in real life:

|A dilation is a transformation that produces an image that is the same _________________ |[pic] |

|as the original, but is a different ____________. A dilation _______________ or | |

|_______________ the original figure. | |

| | |

|Scale factor of a dilation is what you’re multiplying by. | |

| | |

|Remember, dilations are ___________________or _____________________. A figure and its | |

|dilation are _________________. | |

Some more example:

Find the scale factor for the dilation that maps the solid line figure onto the dashed figure:

[pic]

Determine if one figure is a dilation of the other

[pic] [pic]

|Ex 1: Scale factor? |Ex 2: Scale factor? |

| |[pic] |

|[pic] | |

|Ex 3: Under a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), |Ex 4: What is the scale factor of dilation? |

|B'(0,10), C'(15,0).  What is the scale factor for this dilation? |[pic] |

| | |

|Ex 5: Dilate this by a scale factor of 1/4 |Ex 6: Dilate this triangle by a scale factor of 2.5 |

|[pic] |[pic] |

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