Question

Determine whether the dilation from A (blue figure) to B (green figure) is an enlargement or reduction, then find the scale factor of the dilation.

a. reduction; scale factor of 2/5
b. enlargement; scale factor of 5/2
c. reduction; scale factor of 2/3
d. enlargement; scale factor of 3/2

Answer 1

Option B

Explanation:

In the figure attached we have to find the scale factor of dilation of figure A to figure B.

Since figure A is smaller than figure B, it concludes figure A has been enlarged to form figure B.

Now we have to find the scale factor of enlargement.

Scale factor =
`\frac{\text{one side of the larger figure}}{\text{one side of the smaller figure}}`

=
`(5)/(2)`

Therefore option B is the correct answer.

Answer 2

I believe the correct answer from the choices listed above is option B. The dilation from A (blue figure) to B (green figure) is an enlargement with a scale factor of 5/2. In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. Hope this answers the question.