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) left parenthesis negative 5 comma 8 right parenthesis

Answer 1

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

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

For the point \( (5, 8) \):

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

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

The correct response is:

\((-5, -8)\)