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Answer :
Final answer:
The transformation rule for rotating triangle KLM by 270° clockwise about the origin, resulting in triangle K'L'M', is option d: (x,y) to (-y,x).
Explanation:
When triangle KLM is rotated 270° clockwise about the origin to create triangle K'L'M', we can determine the transformation rule by considering the effects of the rotation on the coordinates of a point (x, y).
A 270° clockwise rotation is the same as a 90° counterclockwise rotation when looking at the coordinate plane. For a 90° counterclockwise rotation, the rules are:
- Coordinates (x, y) become (-y, x).
This rule switches the x and y coordinates and reverses the sign of the former x-coordinate to map it onto the new y-coordinate. Hence, the correct option is d. (x,y) to (-y,x).
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