Answer:
To determine the distance from the center of dilation, Q, to the image of vertex A, we need to consider the scale factor of the dilation.
The scale factor represents how much the figure is enlarged or reduced. In this case, we are not given the scale factor directly, but we can calculate it using the given information.
Let's assume the distance from the center of dilation, Q, to vertex A is 2 units.
If the image of vertex A is 3 units away from the center of dilation, Q, then the scale factor would be 3/2. This means that the image is enlarged by a factor of 3/2.
If the image of vertex A is 4 units away from the center of dilation, Q, then the scale factor would be 4/2 = 2. This means that the image is the same size as the original figure.
If the image of vertex A is 6 units away from the center of dilation, Q, then the scale factor would be 6/2 = 3. This means that the image is enlarged by a factor of 3.
Therefore, based on the options provided, the correct answer would be O3 units, as this represents the scenario where the image of vertex A is 3 units away from the center of dilation, Q.
Explanation: