Question

A figure is dilated by a scale factor of 12. If the origin is the center of dilaton, what is the image of a vertex located at (3, 4)?

Answer 1

After the dilation, the coordinates of the vertex is (36, 48)

How does the vertex change after the dilation?

If we have a dilation of a scale factor K where the origin is the center of the dilation to a point (x, y), the image after the dilation will be:

(k*x, k*y).

Here the scale factor is k = 12, and the point is (3, 4).

So if we apply the dilation to that vertex, we get:

12*(3, 4) = (12*3, 12*4) = (36, 48).

After the dilation, the coordinates of the vertex is (36, 48)

If you want to learn more about dilations:

https://brainly.com/question/3457976

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