Worksheet on rotations in the coordinate plane, illustrating clockwise and counterclockwise turns.

Let's solve the problem step by step based on the image you described. The task is to find the number of degrees in each rotation shown in the three diagrams.

We are given:

- A rotation turns a figure around a fixed point called the center of rotation.
- The center of rotation is the origin.
- Rotations happen in increments of 90°, so possible rotations are: 90°, 180°, 270°, 360°.
- We must pay attention to the direction of rotation: clockwise or counterclockwise.

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🔍 Let’s analyze each diagram:

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#### 1. First Diagram:
- Shape: A triangle with a small arrow pointing right (→).
- Initial position: The triangle has an arrow pointing to the right (positive x-direction).
- Final position: The triangle is rotated and now points upward (positive y-direction).

So:
- From right → up: This is a counterclockwise turn.
- Moving from the positive x-axis to the positive y-axis is 90° counterclockwise.

✔ Answer: 90° counterclockwise

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#### 2. Second Diagram:
- Shape: A right triangle with a small arrow pointing upward (↑).
- Initial position: Arrow points up (positive y-direction).
- Final position: Arrow points to the left (negative x-direction).

So:
- From up → left: This is a counterclockwise rotation.
- Up → Left = 90° counterclockwise from y-axis to negative x-axis.

But let’s think in terms of quadrants:
- Starting at positive y-axis (top), rotating counterclockwise:
- 90° → negative x-axis (left)
- So it's a 90° counterclockwise rotation.

✔ Answer: 90° counterclockwise

Wait — but let’s double-check:
If we go from up to left, that's 90° counterclockwise? Yes.

Alternatively, clockwise would be from up → right → down → left, which is 270° clockwise, but the shorter path is 90° counterclockwise.

So the smallest rotation is 90° counterclockwise.

✔ Answer: 90° counterclockwise

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#### 3. Third Diagram:
- Shape: A square with a small arrow pointing upward (↑).
- Initial position: Arrow points up.
- Final position: Arrow points down (↓).

So:
- From up → down: This is a 180° rotation, regardless of direction (clockwise or counterclockwise).
- Both directions give the same result after 180°.

✔ Answer: 180° (either direction)

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✔ Final Answers:

1. 90° counterclockwise
2. 90° counterclockwise
3. 180°

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📝 Summary:

| Problem | Rotation |
|--------|----------|
| 1 | 90° counterclockwise |
| 2 | 90° counterclockwise |
| 3 | 180° |

Let me know if you'd like these written in a specific format!