Question

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.
Please hurry

Answer 1

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

Answer 2

Option C is correct.

the scale factor is, 2

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 = (2)/(1) = 2`

therefore, the scale factor is, 2.