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Triangle 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.  Your answer  must be a fraction, reduced to lowest terms.

TruMu92  Jan 18, 2018
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1+0 Answers

 #1
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With a dilation center at the origin, we  can  find the scale factor from the ratio  of  any image  coordinate to its pre- image coordinate

 

So.....using the x coordinate  of  A'  and A   we have

 

-3.75 / - 5    =    3.75 / 5  =    [ 3 * 1.25 ]  / [ 4 * 1.25 ]   =    3/4  =  scale factor

 

 

cool cool cool

CPhill  Jan 18, 2018

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