Triangle def is a dilation of triangle abc with center (0, 0). what is the scale factor?

Scale factor

The formula for the scale factor(k) with the origin is given by:

In the given figure,

triangle DEF is a dilation of a triangle ABC with center (0, 0)

Coordinates of image DEF are;

Also, coordinate of pre-image ABC are:

Now, using dilation rule to solve for k;

On comparing:

D(-6k, 3k) = D(-2, 1)

we get;

-6k = -2

Divide both sides by -6 we get;

Therefore, the scale factor(k) is,

step-by-step explanation: