Subjects geometry

Rotation Half Turn 83De87

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1. The problem asks to rotate a figure around point A by a half turn (180 degrees) clockwise. 2. A half turn clockwise rotation means every point of the figure moves to a position directly opposite to its original position relative to point A. 3. The formula for a 180-degree rotation around a point $A(x_a,y_a)$ for any point $P(x,y)$ is: $$P' = (2x_a - x, 2y_a - y)$$ 4. This means we subtract the original coordinates of $P$ from twice the coordinates of $A$ to find the new coordinates $P'$. 5. Applying this to each vertex of the figure will give the rotated figure. 6. Since the problem does not provide specific coordinates or a figure, the general rule above is the solution. 7. The figure after rotation will be congruent to the original, just flipped 180 degrees around point A.
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