Rotate the point (5, 8)

Question

(
5
,

8
)
on a geometric figure 180 degrees clockwise. What is the new point?(1 point)
Responses

(−5, −8)
(
−
5
,

−
8
)
left parenthesis negative 5 comma negative 8 right parenthesis

(−8, −5)
(
−
8
,

−
5
)
left parenthesis negative 8 comma negative 5 right parenthesis

(−5, 8)
(
−
5
,

8
)
left parenthesis negative 5 comma 8 right parenthesis

(8, 5)

Answer 1

To rotate a point 180 degrees clockwise around the origin (0, 0), you can use the transformation (x, y) → (-x, -y).

Given the point (5, 8), applying the transformation:

1. Take the x-coordinate: 5 becomes -5.
2. Take the y-coordinate: 8 becomes -8.

So the new point after a 180-degree clockwise rotation of (5, 8) is (-5, -8).

Therefore, the correct response is:

(−5, −8)