Question

Rotate the point (5, 8)
on a geometric figure 180 degrees clockwise. What is the new point?(1 point)
Responses

(8, 5)
left parenthesis 8 comma 5 right parenthesis

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

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

(−5, 8)

Answer 1

To rotate the point (5, 8) by 180 degrees clockwise, you can use the rule for 180-degree rotations, which states that the new point (x', y') after the rotation of point (x, y) is given by:

\[
(x', y') = (-x, -y)
\]

For the point (5, 8):

\[
(x', y') = (-5, -8)
\]

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

The correct response is:

(−5, −8)