Answer:
The side length for A and B is 30 and the side length for B and D is 16, in the new dilated rectangle. The reason we multiplied by 2 is because 2 is greater than 1, and this means the image is an enlargement.
Explanation:
Dilation is where the polygon grows or shrinks but keeps the same overall shape. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image. If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement. This means that the image, A’, is twice as large as the pre-image A. This means that the image, A’, is twice as large as the pre-image A.
Since 2 is greater than 1, the image is an enlargement
So we do 2*15 and 2 * 8
And we get
30 and 16
The side length for A and B is 30 and the side length for B and D is 16.