Answer:
1. The dilation (0.2x, 0.2y) is an enlargement.
When the scale factor of a dilation is greater than 1, it results in an enlargement. In this case, the scale factor is 0.2, which is less than 1. However, the absolute value of the scale factor is greater than 1. Therefore, it is considered an enlargement.
For example, let's consider a point (2, 3). After applying the dilation with a scale factor of 0.2, the new coordinates would be (0.4, 0.6). This shows that the image has been enlarged.
2. The dilation (4/5x, 4/5y) is an enlargement.
Similar to the first dilation, the scale factor in this case is less than 1, but its absolute value is greater than 1. Hence, it is an enlargement.
For instance, if we have a point (5, 6) and apply the dilation with a scale factor of 4/5, the new coordinates would be (4, 4.8). This demonstrates an increase in size.
3. The dilation (5/4x, 5/4y) is also an enlargement.
The scale factor here is greater than 1, which indicates an enlargement.
Let's consider a point (8, 10) and apply the dilation with a scale factor of 5/4. The new coordinates would be (10, 12.5), indicating an increase in size.
4. The dilation (7.5x, 7.5y) is an enlargement.
Once again, the scale factor is greater than 1, confirming that it is an enlargement.
For example, if we have a point (1, 2) and apply the dilation with a scale factor of 7.5, the new coordinates would be (7.5, 15), indicating an increase in size.
In summary, all the given dilations result in enlargements as their scale factors are either greater than 1 or their absolute values are greater than 1.
Explanation:
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