Question

The first figure is dilated to form the second figure.

Which statement is true?
(First one is 5.8 and the second one is 1.45)

1) the scale factor is 0.25
2) the scale factor is 4
3) the scale factor is 4.35
4) the scale factor is 7.25

Answer 1

1) The scale factor is 0.25 is true.

Explanation:

Step 1:

The first figure is dilated to form the second figure. The shape is a rhombus.

It is given that the side length of the first figure is 5.8 and the side length of the second figure is 1.45.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the side length of the rhombus.

The scale factor
`= (1.45)/(5.8) = (1)/(4) = 0.25.`

So the scale factor is 0.25. This is the first option.