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?

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Johnnyboy Dec 11, 2017

CPhill · Answer 1 · 2017-12-11T08:20:23

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

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