https://file.aiquickdraw.com/mathbot/file/17267074764041fkmbmzg.jpg

The problem asks you to determine the scale factor of dilation based on the transformation shown in the image. The original points are labeled as \( A \) and \( B \), and the transformed points are labeled as \( A_1' \) and \( B_1' \).

### Analysis:
1. **Point \( A \)** is located at (1, 1).
2. **Point \( B \)** is located at (5, 1).
3. **Dilated Point \( A_1' \)** is located at (1, 2).
4. **Dilated Point \( B_1' \)** is located at (5, 2).

The dilation appears to be vertical, as only the y-coordinates have changed. The y-coordinates of \( A \) and \( B \) are multiplied by a factor to get the y-coordinates of \( A_1' \) and \( B_1' \).

### Calculating the Scale Factor:
For point \( A \):
- Original y-coordinate: 1
- Transformed y-coordinate: 2

Scale factor = \(\frac{\text{New y-coordinate}}{\text{Original y-coordinate}} = \frac{2}{1} = 2\).

### Conclusion:
The scale factor of the dilation is **2**.

Would you like further details or explanations on this topic? Here are some related questions:

1. How do you determine the scale factor of a dilation in general?
2. What are the effects of a scale factor greater than 1 versus less than 1?
3. How does dilation affect the coordinates of a point?
4. Can dilation occur in both x and y directions simultaneously?
5. What happens to shapes under dilation with a scale factor of 0?

**Tip:** When working with dilations, always compare corresponding coordinates to find the scale factor!

Perhatikan gambar berikut! Gambar di atas merupakan contoh dilatasi dengan faktor ...

This problem focuses on determining the scale factor of dilation based on transformations shown in a graph. The question involves finding the change in coordinates of points after dilation and applying the formula to calculate the scale factor. Suitable for Grades 8-10.

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