Question

Rotate the point (5, 8)
on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

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

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

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

(8, 5)

Answer 1

To rotate a point \((x, y)\) 270 degrees clockwise around the origin, you can use the following transformation:

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

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

1. Identify \(x = 5\) and \(y = 8\).
2. Apply the transformation for a 270-degree clockwise rotation:

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

Thus, the new point after rotating \((5, 8)\) 270 degrees clockwise is \((8, -5)\).

So the correct response is:

\((8, -5)\)