Question

After a dialation, (-35,0) is the image of (-5,0). What are the coordinates of the image of (-7,7) after the same dialation?

Answer 1

This problem is about transformation.

One type of transformation is dilation, which means an increase.

In this case, we have a dilation from (-5,0) to (-35,0). How do we know that? Because the image refers to the final figure which was already transformed, and the pre-image refers to the initial one.

Now, the right way to the find the dilation factor is dividing, in this case, -35/-5, the numerator is always the image, and the denominator is always the pre-image, in case of dilation

`(-35)/(-5)=7`

This means the dilation factor is 7, that's gonna be the same factor for (-7,7), we just need to multiply

`(-7,7)\text{ }\rightarrow(-7\cdot7,7\cdot7)\text{ }\rightarrow(-49,49)`

Therefore, using the same dilation factor, the image of (-7,7) is (-49,49).