Answer:
9. reduction, 1/2
10. enlargement, 3/2
11. enlargement, 3
12. reduction, 1/3
Explanation:
You want to know whether the dilations shown are reduction or enlargement.
Dilation
If the image (figure B) is larger, the dilation is an enlargement. (10, 11)
If the image (figure B) is smaller, the dilation is a reduction. (9, 12)
Scale Factor
The scale factor is the ratio of a length on the image to the corresponding length on the original figure. It will also be the ratio of distances from the center of dilation (the origin) of corresponding points.
9.
The ratio of line lengths B/A is 3/6, a reduction by a factor of 1/2.
10.
The ratio of distances from the origin on the x-axis is 3/2, an enlargement by a factor of 3/2.
11.
The ratio of distances from the origin on the x-axis is 6/2, an enlargement by a factor of 3.
12.
The ratio of distances from the origin on the x-axis is 2/6, a reduction by a factor of 1/3.