Question

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D
5²
25
2) A two-dimensional preimage is dilated by a scale factor to result in a new image. Fill in the
blanks with the number needed to calculate the area of the new image compared to the area
of the preimage.
25
1
If the scale factor is , then the area of the preimage is multiplied by or to calcu-
late the area of the new image.
()'

Answer 1

Let’s start by defining the variables:

Let A be the area of the preimage.

Let k be the scale factor.

If the scale factor is k, then the area of the preimage is multiplied by k² to calculate the area of the new image. Therefore, we have:

Area of new image = k²A

We are given that:

k = 1/5

Therefore, we have:

k² = (1/5)² = 1/25

The area of the preimage is not given. Therefore, we cannot calculate the area of the new image