Question

A point is rotated about the origin. Its coordinates are P(−4,10)
𝑃
(
−
4
,
10
)
and P′(−10,−4)
𝑃
′
(
−
10
,
−
4
)
. Determine the degree of rotation and direction by applying rotation mapping.(1 point)
Responses

−180
−
180
degrees (clockwise) or 180 degrees (counterclockwise)
negative 180 degrees (clockwise) or 180 degrees (counterclockwise)

−90
−
90
degrees (clockwise)
negative 90 degrees (clockwise)

270 degrees (counterclockwise)
270 degrees (counterclockwise)

90 degrees (counterclockwise)

Answer 1

90 degrees counterclockwise.

Reason: A 90° CCW rotation maps (x,y) → (−y,x). For (−4,10) this gives (−10,−4), which matches P′.