Given quadrilateral ABCD and its image under a dilation centered at the origin, find the scale factor. (note: orange is original image)

Respuesta :

The scale factor of the image under a dilation centered at the origin is 2.

What is a transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Let us assume that quadrilateral ABCD have vertices at A(2, 1) while its image has vertices at A'(4, 2), hence:

Scale factor = 4/2 = 2/1 = 2

The scale factor of the image under a dilation centered at the origin is 2.

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