Subjects geometry

Rotation 180 936Cc8

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1. The problem states that the figure KL is rotated 180° counterclockwise about the origin to produce K'L'. 2. The rule for a 180° counterclockwise rotation about the origin in the coordinate plane is given by the transformation: $$ (x, y) \mapsto (-x, -y) $$ 3. This means every point $(x, y)$ is mapped to the point $(-x, -y)$ after the rotation. 4. This rule comes from the fact that rotating a point 180° around the origin flips both the x- and y-coordinates to their opposites. 5. Therefore, the rotation rule is: $$ (x, y) \mapsto (-x, -y) $$