Question

△R′S′T′ is the image of △RST under a dilation through point C. RS=5 and R′S′=8 . What scale factor was used in the dilation?

Answer 1

Answer:

1.6

Step-by-step explanation:

To find the scale factor, we compare the image size to the pre-image size.

R'S' = 8 and RS = 5; this makes the scale factor 8/5, which is 1.6.

Answer 2

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. The scale factor that was used in the dilation is 1.6.

What is dilation?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

Scale factor = Dimension of the new shape/Dimension of the original shape

Given that △R′S′T′ is the image of △RST under a dilation through point C. Also, given that RS=5 and R′S′=8. Therefore, the scale factor that was used in the dilation is,

Scale factor = Dimension of the new shape/Dimension of the original shape

Scale factor = R′S′ / RS = 8/5

= 1.6

Hence, the scale factor that was used in the dilation is 1.6.

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