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20 POINTS!!!

The first pentagon is dilated to form the second pentagon.


Drag and drop the answer to correctly complete the statement.
What is the Scale Factor?

The Scale Factor is:

Options: 0.5, 1, 2, 3.

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20 POINTS!!! The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement. What is the Scale Factor? class=

Verified Answer :

gmany

\(\text{pentagon}_2\ \sim\ \text{pentagon}_1\ \text{in scale}\ \dfrac{2}{1}=2\\\\\text{but}\\\\\text{pentagon}_1\ \sim\ \text{pentagon}_2\ \text{in scale}\ \dfrac{1}{2}=0.5\)

Answer:

Option C is correct.

the scale factor is, 2

Step-by-step explanation:

Scale factor(k) defined as the ratio of the length of a side of image to the length of a corresponding side of the pre image figure.

Given that the first pentagon is dilated to form the second pentagon.

Length of a side of first pentagon(pre image) = 1

And

Length of a side of second pentagon = 2

then by definition of scale factor:

\(k = \frac{2}{1} = 2\)

therefore, the scale factor is, 2.

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