Under a dilation centered at the origin, the vertex, (2, 3), of a polygon is moved to the point (−8, −12) . What is the scale factor of the dilation? Enter your answer in simplified form in the box.

The scale factor of the dillation is -4.

Explanation:

We must remember that dilation of a given point with respect to a point is represented by the following operation:

,

Where:

, - Location of the dillated vertex.

- Factor of dillation.

If we know that , and , then, we solve the resulting expression:

Whose solution is .

The scale factor of the dillation is -4.

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