Answer:
1/3 (B)
Explanation:
The question is incomplete without the diagram as this is required to enable us find the answer to the question. Find attached the diagram used in solving the question. I would show how dilation factor is determined.
A dilation produces an image that is the same shape as the original, but with a different size. A dilation can either cause an enlargement or reduction. If the pre-image is smaller than original image, it causes a reduction. If bigger, it causes an enlargement.
Let's start with the bigger shape (in this case a rectangle)
The coordinates (x,y) starting from origin are (0,0);(0,8);
(8,9);(9,0)
For the smaller rectangle (pre-image), let's follow same direction in getting the coordinates (x,y): (0,0);(0,2.5);(2.5,3);(3,0)
We can see the coordinates of the pre-image is smaller than the original image.
Ratio of the corresponding sides of the coordinate would gives us a scale factor.
Ratio of Length (small/big) = 3/9 = 1/3 = 0.3
Ratio of breadth (small/big) = 2.5/8 = 0.3125
Since the ratios are not uniform, we would use the measurement of the length of the rectangle (image and pre-image) and find their ratios.
The pre-image is smaller than the image, it would be:
(Length of the pre-image)/(length of the image) = 3/9 = 1/3
Therefore it is shrinking.