The first figure is dilated to form the second figure. Which statement is true? The scale factor is 0. 8. The scale factor is 1. 25. The scale factor is 2. 0. The scale factor is 18. 0. A diamond with a side length of 8. An arrow points to a larger diamond with a side length of 10.

Respuesta :

You can use the fact that the scale factor is the ratio of the new measurement to the old measurement.

The scale factor for the given dilation is given by

Option B:  The scale factor is 1.25

How to calculate the scale factor?

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Using the above method to get the scale factor for the considered figure

The initial side length was of 8 units.

The final side length after the dilation was 10 units.

Thus, we have the scale factor as [tex]\dfrac{10}{8} = 1.25[/tex]

Thus,

The scale factor for the given dilation is given by

Option B:  The scale factor is 1.25

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