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Determine the scale factor of the dilation. Write your answer as a fraction if necessary.

Determine The Scale Factor Of The Dilation Write Your Answer As A Fraction If Necessary class=

Sagot :

The scale factor of the dilation is 1.5

Here, we want to determine the scale factor of the dialtion

From what we can see, we have the smaller, being moved to the bigger and thus, we expect a scale factor higher than 1

We can work with any of the side lengths to determine the scale factor

Let us look at the base

For the smaller shape, we have a length from (1,-2) to (-2,-2)

For the bigger shape, we have a length from (1.5,-3) to (-3,-3)

Calculating these distances, we have a unit of 3 units in the smaller and a unit of 4.5 units in the bigger

So, we have the scale factor as;

[tex]\frac{4.5}{3}\text{ = 1.5}[/tex]

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