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The image shows a geometry problem asking to find the scale factor of a dilation on a coordinate grid. To find the scale factor, you need to compare the lengths of corresponding segments of the pre-image and image after the dilation. The dilation here involves two triangles, marked with corresponding points on the graph.

Here's how to approach the problem:

1. **Identify two corresponding points**: For example, compare point D on the smaller triangle with point G on the larger triangle, or any other pair of corresponding points like E and F.
   
2. **Measure the distance between these points**:
   - For point D (pre-image) and point G (image), count the grid units along the x and y axes.
   - Do the same for corresponding points in the original and the dilated triangles.

3. **Find the ratio**:
   - Use the ratio of the distances between corresponding points to find the scale factor.
   - The formula is:
     \[
     \text{Scale Factor} = \frac{\text{Distance between points on the image}}{\text{Distance between points on the pre-image}}
     \]

Once you have the distances, simplify the ratio to get the scale factor, which can be expressed as a fraction, improper fraction, or whole number as requested.

Would you like more detailed steps on calculating the exact distances from the image? Here are some related questions:

1. What is the distance formula for points on a graph?
2. How can you find the scale factor if the dilation is a reduction?
3. How do dilations affect the slope of lines in geometry?
4. What is the difference between a dilation with a scale factor greater than 1 and less than 1?
5. How can you find the center of dilation on a graph?

**Tip**: Make sure to count the units precisely along the grid lines when measuring distances between corresponding points.

Find the scale factor of the dilation using the corresponding points D and G, or any other pairs of corresponding points like E and F on the coordinate grid.

Learn how to find the scale factor of a dilation by comparing distances between corresponding points on the pre-image and the image. This problem covers important concepts in geometry like dilations, scale factor, and transformations on a coordinate plane. Suitable for students in Grades 7-10.

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