Question

Which scale factors produce an expansion under a dilation of the original image? Select each correct answer. 0. 1 0. 1 2 2007. 5.

Answer 1

Scale factors are used to dilate a shape or figure.

The scale factors that produce expansions are 200 and 7.5

The scale factors are given as: 0.1, 0.12 200 and 7.5

When the absolute value of a scale factor (k) is greater than 1, then the image of the dilation will be enlarged.

If otherwise, the image will be compressed.

This means that:

• $\mathbf{|k| > 1}$ --- enlarged image
• $\mathbf{|k| < 1}$ --- compressed image

The above highlights mean that:

• Scale factors 0.1 and 0.12 will produce a compressed image
• Scale factors 200 and 7.5 will produce an expanded image

Hence, the scale factors are 200 and 7.5

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