https://file.aiquickdraw.com/mathbot/file/1727848578860iw0ch4af.jpg

From the image, we see that triangle \( ABC \) is rotated about point \( P \), transforming it into triangle \( A'B'C' \).

- The rotation from triangle \( ABC \) to triangle \( A'B'C' \) is counterclockwise, since the new position of the triangle is turning left around point \( P \).
- The angle of rotation can be determined by examining the direction of the triangles' vertices before and after rotation. Since \( A \to A' \), \( B \to B' \), and \( C \to C' \), it appears that the rotation is \( 90^\circ \) counterclockwise.

For the clockwise direction, recall that a clockwise rotation is written with a negative degree. Therefore, the equivalent clockwise rotation would be \( -270^\circ \).

Thus, the blanks can be filled in as:

- **\( 90^\circ \)** counterclockwise about \( P \)
- **\( -270^\circ \)** clockwise about \( P \)

Would you like more details or have any further questions?

Here are 5 follow-up questions to expand on this concept:
1. How do you determine the angle of rotation between two positions of a figure?
2. What is the relationship between clockwise and counterclockwise rotations in degrees?
3. Can a rotation be described in more than two ways?
4. How would you verify if a rotation is correct using coordinates?
5. What happens to the orientation of a shape when rotated by \( 180^\circ \)?

**Tip:** Always pay attention to the direction of rotation. Clockwise is negative, and counterclockwise is positive when measuring angles of rotation.

A triangle is rotated about point P. Complete the sentence to accurately describe the degree of rotation in both directions.

Understand how to describe the rotation of a triangle about a point, including both counterclockwise and clockwise rotations. Learn the difference between 90° counterclockwise and -270° clockwise rotations. Suitable for students in Grades 8-10.

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