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To determine the angle of rotation between the original shape (in blue) and its image (in purple), we need to observe the orientation change around the point \( Q \), which is the center of rotation.

1. The rotation appears to move the points counterclockwise, from the blue shape to the purple one.
2. We identify corresponding points:
   - \( A \rightarrow A' \)
   - \( B \rightarrow B' \)
   - \( C \rightarrow C' \)
   - \( D \rightarrow D' \)

   Since the direction is counterclockwise, the angle of rotation will be positive. The purple shape appears to have rotated approximately 150° counterclockwise based on the alignment of points \( A \), \( B \), \( C \), and \( D \).

Therefore, the correct angle of rotation is **150°**, making the correct answer **D**.

Would you like any further explanation or details?

Here are some related questions for practice:
1. How do you determine if an angle of rotation is positive or negative?
2. What is the difference between clockwise and counterclockwise rotations?
3. How do you calculate an angle of rotation using reference points?
4. What are the steps to find the center of rotation in a geometric figure?
5. How does a 360° rotation affect the orientation of a shape?

**Tip:** When working with rotations, always pay attention to the direction of rotation (clockwise or counterclockwise) and the location of the center of rotation.

Determine the angle of rotation between the original shape (in blue) and its image (in purple) around point Q.

Learn how to find the angle of rotation between geometric figures around a given center point. This problem involves identifying corresponding points and calculating the rotation angle, which can be positive for counterclockwise or negative for clockwise direction. Suitable for students in Grades 8-10.

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