The point D

Question

(
4,
–
6
)
is rotated 180
°
clockwise around the origin. What are the coordinates of the resulting point, D
'
?
D
'
,

Answer 1

To rotate a point \( (x, y) \) 180° clockwise around the origin, the coordinates of the resulting point will change according to the following transformation:

\[ (x, y) \rightarrow (-x, -y) \]

For the point \( D(4, -6) \):

1. Change the x-coordinate: \(-4\)
2. Change the y-coordinate: \(6\)

Thus, the coordinates of the resulting point \( D' \) after a 180° rotation are:

\[ D' = (-4, 6) \]

So, the coordinates of the resulting point \( D' \) are \((-4, 6)\).