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# ​ Triangle ABCTriangle ABC ​is transformed with the center of dilation at the origin.

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Triangle ABCTriangle ABC ​is transformed with the center of dilation at the origin.

Pre-image: △ABC with vertices  A(−5, −4), B(−7, 3), C(3, −2)

Image: △A′B′C′ with vertices  A′(−3.75, −3),  B′(−5.25, 2.25),  C′(2.25, −1.5)

What is the scale factor of the dilation that maps the pre-image to the image?

Enter your answer in the box.

Johnnyboy  Dec 11, 2017
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Since the center of dilation is the origin, we only need to compute the ratio of any of the like components of the like vertices......so.....

[ y coordinate of A' ]  /  [ y coordinate of A ]  =   [  -3 ] / [ -4 ]  =   3 / 4  = scale factor

CPhill  Dec 11, 2017

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