https://file.aiquickdraw.com/mathbot/file/17267727208324qirn3iv.jpg

The image shows two rectangles labeled as **Figure A** and **Figure B**. According to the text, figure **B** is a dilation of figure **A**. 

The question asks: *Where is the center of dilation located?* The options given are:
1. Inside figure **A**
2. Outside figure **A**
3. On a vertex of figure **A**

### Analyzing the dilation:
- **Dilation** is a transformation that produces a figure that is the same shape as the original but a different size. The center of dilation is the point from which the figure is enlarged or reduced.
- In this case, figure **B** is a smaller version of figure **A**, which suggests that the dilation is a reduction. The center of dilation can lie outside or inside the figure, or even on a vertex, depending on the transformation.

### Observation:
From the grid shown, it seems that figure **B** is centered along the same horizontal axis as figure **A** but is smaller. If we trace the dilation, the center appears to be somewhere outside figure **A**. Since figure **B** is a scaled-down version, the center of dilation must be outside both figures.

### Correct Answer:
The center of dilation is most likely located **outside figure A**.

Would you like more details or have any further questions? Here are five related questions to deepen understanding:

1. How do you determine the center of dilation when both figures are on a grid?
2. What happens to a figure when the center of dilation is located inside the figure?
3. How does the scale factor affect the size of the dilated figure?
4. Can the center of dilation ever be at infinity? What would that imply?
5. How would the diagram change if figure B was an enlargement rather than a reduction?

**Tip:** Always check the direction and distance between corresponding points when trying to locate the center of dilation.

Where is the center of dilation located for figure B, which is a dilation of figure A?

Learn how to locate the center of dilation for figure B, which is a smaller dilation of figure A. This problem involves transformation geometry, scaling, and dilation formulas. Suitable for Grades 7-9.

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