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 8 right parenthesis

(8, 5)
(
8
,

5
)
left parenthesis 8 comma 5 right parenthesis

(−8, −5)
(
−
8
,

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

(−5, −8)
(
−
5
,

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

Answer 1

To rotate a point (x, y) by 180 degrees clockwise, you can use the transformation:

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

Applying this transformation to the point (5, 8):

\[ (5, 8) \rightarrow (-5, -8) \]

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

The correct response is:

\((-5, -8)\)