Question

The vertices of the quadrilateral are upper A at left parenthesis negative 8 comma negative 5 right parenthesis, upper B at left parenthesis negative 4 comma negative 2 right parenthesis, upper C at left parenthesis negative 2 comma negative 5 right parenthesis, and upper D left parenthesis negative 4 comma negative 8 right parenthesis.Imagine a 90°
90
°
(counterclockwise) rotation about the origin of the figure in the image. Select the coordinate of D′
𝐷
′
.

(1 point)
Responses

(8,4)
(
8
,
4
)

left parenthesis 8 comma 4 right parenthesis

(4,−8)
(
4
,
−
8
)

left parenthesis 4 comma negative 8 right parenthesis

(8,−4)
(
8
,
−
4
)

left parenthesis 8 comma negative 4 right parenthesis

(−8,4)

Answer 1

A 90° counterclockwise rotation sends (x,y) to (-y,x). For D(−4,−8) this gives (−(−8), −4) = (8, −4). So D′ = (8, −4).