Triangle Rotation 519C9A

1. **Problem Statement:** We are given two congruent triangles, P and Q, on a coordinate grid with a marked rotation center. We need to find: a) The degrees triangle P has been rotated anticlockwise. b) The degrees triangle P has been rotated clockwise. 2. **Understanding Rotation:** Rotation of a figure around a point involves turning it by a certain angle either anticlockwise (positive angle) or clockwise (negative angle). 3. **Step 1: Identify the rotation center and corresponding points:** The red x-mark near the middle-right is the rotation center. 4. **Step 2: Observe the positions of triangle P and Q relative to the center:** Triangle P is above-left of the center with a vertical right side. Triangle Q is below-left of the center with a horizontal top side. 5. **Step 3: Determine the angle of rotation:** Since the triangles are congruent and one is the image of the other by rotation about the center, the angle between corresponding sides or vertices gives the rotation angle. 6. **Step 4: Visualize or calculate the rotation angle:** The right side of triangle P is vertical, and the corresponding side in triangle Q is horizontal. Rotating a vertical line anticlockwise to a horizontal line corresponds to a rotation of $90^\circ$ anticlockwise. 7. **Step 5: Answer the questions:** a) Triangle P has been rotated $90^\circ$ anticlockwise. b) Triangle P has been rotated $270^\circ$ clockwise (since $360^\circ - 90^\circ = 270^\circ$). **Final answers:** - a) $90^\circ$ anticlockwise - b) $270^\circ$ clockwise