Question

A segment has endpoints X(−10,0)
𝑋
(
−
10
,
0
)
and Y(−2,6)
𝑌
(
−
2
,
6
)
. Consider its image after a 180°
180
°
(counterclockwise) rotation about the origin. Select the coordinates of Y′
𝑌
′
.(1 point)
Responses

Y′(2,−6)
𝑌
′
(
2
,
−
6
)

upper Y prime left parenthesis 2 comma negative 6 right parenthesis

Y′(−6,2)
𝑌
′
(
−
6
,
2
)

upper Y prime left parenthesis negative 6 comma 2 right parenthesis

Y′(−2,−6)
𝑌
′
(
−
2
,
−
6
)

upper Y prime left parenthesis negative 2 comma negative 6 right parenthesis

Y′(6,−2)

Answer 1

Y′ = (2, −6)

Explanation: A 180° rotation about the origin sends (x,y) → (−x, −y). For Y(−2,6) this gives (2, −6).