Question

describe a similarity transformation that maps the blue preimage to the green image

Explanation:

Step1: Determine the scale factor

The side lengths of the green figure (pre - image) are twice the side lengths of the blue figure (image). For example, if we consider a side of the blue quadrilateral \(WXYZ\) and the corresponding side of the green quadrilateral \(STUV\). The scale factor \(k = 2\) since \(\frac{\text{length of side in }STUV}{\text{length of side in }WXYZ}=2\)

Step2: Check for rotation

By observing the orientation of the two quadrilaterals, we can see that there is no rotation (the shapes are in the same orientation relative to the coordinate axes)

Step3: Check for reflection

There is no reflection (the shapes are in the same "handedness" relative to the coordinate axes)

Answer:

A dilation with a scale factor of \(2\) maps the blue pre - image to the green image.