Triangle JKL is transformed using the rule R0, 90°∘ry=−x⁡(x, y). Point K of the pre-image is at (4, 7). What are the coordinates of point cap k double prime on the final image?

The composition applies the reflection across y = −x first, then a 90° counterclockwise rotation about the origin. Reflecting (4, 7) across y = −x gives (−7, −4); rotating that point 90° counterclockwise gives (4, −7). So the final coordinates are (4, −7), choice C.

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