Question

Which of the following mappings is used for a 270-degree (counterclockwise) rotation?(1 point)
Responses

(x,y)→(y,−x)
(
𝑥
,
𝑦
)
→
(
𝑦
,
−
𝑥
)

left parenthesis x comma y right parenthesis right arrow left parenthesis y comma negative x right parenthesis

(x,y)→(−y,x)
(
𝑥
,
𝑦
)
→
(
−
𝑦
,
𝑥
)

left parenthesis x comma y right parenthesis right arrow left parenthesis negative y comma x right parenthesis

(x,y)→(−x,−y)
(
𝑥
,
𝑦
)
→
(
−
𝑥
,
−
𝑦
)

left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma negative y right parenthesis

(x,y)→(−y,−x)

Answer 1

(x,y) → (y, −x)

Reason: A 270° counterclockwise rotation is the same as a 90° clockwise rotation, which sends (x,y) to (y,−x).