Given the preimage and image, find the dilation scale factor​

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

Let the scale factor be K, then the image of point A is:

From the given figure it is clear that the image of point A is A'(-4,-4).

On comparing both sides, we get

Therefore, the dilation scale factor is 2.

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answer: r there any options?

step-by-step explanation: