Question

tanya’s rotation maps point k(24, −15) to k’(−15, −24). which describes the rotation? 90° clockwise rotation 270° clockwise rotation 180° rotation 90° counterclockwise rotation

Explanation:

Step1: Recall rotation rules

For a point $(x,y)$:

• 90° clockwise: $(y,-x)$
• 270° clockwise: $(-y,x)$
• 180° rotation: $(-x,-y)$
• 90° counterclockwise: $(-y,x)$

Step2: Test each rule on $K(24,-15)$

• 90° clockwise: $(-15,-24)$ (matches $K'$)
• 270° clockwise: $(15,24)$ (does not match)
• 180° rotation: $(-24,15)$ (does not match)
• 90° counterclockwise: $(15,24)$ (does not match)

Answer:

90° clockwise rotation