https://file.aiquickdraw.com/mathbot/file/172892839757209xof5pd.jpg

Let's analyze each question in the image:

### Question 1:
*Statement*: If \( k = 5 \) and the center of dilation is point \( O \), then \( OA' = 5OA \).

- A dilation with a scale factor \( k \) means that the distance from the center of dilation \( O \) to a point \( A' \) is scaled by \( k \) times the distance from \( O \) to \( A \).
- Since \( k = 5 \), this means \( OA' = 5 \cdot OA \).
- This statement is **true**.

### Question 2:
*Statement*: What will the image look like after a pre-image has been dilated by a scale factor of 1?

- A scale factor of 1 means that the image retains the same size as the pre-image.
- Thus, the image will neither expand nor shrink.
- The correct answer is: **It will be the same size as the pre-image**.

Would you like a more detailed explanation of these concepts or have any other questions?

### Related Questions:
1. What happens to the size of a shape when the scale factor is greater than 1?
2. How does the position of the center of dilation affect the final image?
3. What is the effect of a negative scale factor in dilation?
4. If the scale factor is \( \frac{1}{2} \), what happens to the distances from the center of dilation?
5. How do you determine the coordinates of a point after a dilation?

### Tip:
A scale factor of less than 1 shrinks the image, while a scale factor greater than 1 enlarges it.

1. If k = 5 and the center of dilation is point O, then OA' = 5OA. True or False?
2. What will the image look like after a pre-image has been dilated by a scale factor of 1?

Explore how to solve problems related to dilation and scale factors in geometry, including determining the effects of different scale factors on the size of an image. Suitable for students in Grades 8-10.

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