Question

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△Q′R′S′ is the image of △QRS under a dilation through point C.

What scale factor was used in the dilation?

−4

−0.25

0.25

4

Answer 1

△Q′R′S′ is the image of △QRS under a dilation through point C.

What scale factor was used in the dilation

-4

Answer 2

Answer: The scale factor was used in the dilation = -4

Explanation:

• The scale factor of dilation is the ratio of the side-length in the image to the corresponding side length in the pre-image.

From the given picture, the length of side SR in pre-image = 3cm

The length of corresponding side S'R' in image = 12 cm

Then , the scale factor of dilation will be :-

`k=(12)/(3)=4`

Since , the enlargement appearing on the other side , then the scale factor becomes negative.

Hence, the scale factor of this dilation =-4.