https://file.aiquickdraw.com/mathbot/file/1727299667890pm5wcyxp.jpg

In this problem, we need to determine a sequence of transformations that would map **Figure P** onto **Figure Q**. 

Upon examining the graph, here is a breakdown of the process:

### 1. Translation:
To align Figure P with Figure Q, we can start by translating **Figure P** downward. This translation should move the shape vertically to match the position of Figure Q. If we count the vertical distance between a corresponding point on both figures, it appears that Figure P must move **down by 10 units** (not up as originally mentioned).

### 2. Rotation:
Once translated, the two figures still do not perfectly align. By observing the orientation, we can see that rotating Figure P by **180° counterclockwise** about the origin will make the shapes match.

### Correct Transformations:
- **Translation:** 10 units **down**.
- **Rotation:** 180° counterclockwise about the origin.

### Final Answer:
The correct sequence of transformations is:
1. A translation **down 10 units**.
2. A rotation of **180° counterclockwise** about the origin.

Do you need further clarification or details?

Here are 5 related questions:
1. How do you determine the correct direction for translation in a transformation?
2. What is the difference between clockwise and counterclockwise rotation?
3. How can you verify if a rotation was performed correctly?
4. What other types of transformations could be applied to map two figures?
5. Can you achieve the same result by applying transformations in a different order?

**Tip:** When rotating a figure 180° about the origin, the coordinates of each point become their opposites (i.e., \( (x, y) \) becomes \( (-x, -y) \)).

Determine a series of transformations that would map Figure P onto Figure Q.

Explore the series of transformations, including translation and rotation, needed to map Figure P onto Figure Q on a coordinate plane. A step-by-step guide for students in Grades 8-10 learning about geometric transformations.

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