Rotate the point (5, 8)

Question

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 (\(x, y\)) clockwise by 270 degrees, you can use the following transformation rule:

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

Now, applying this to the point (5, 8):

1. Identify \(x\) and \(y\):

   • \(x = 5\)
   • \(y = 8\)

2. Apply the transformation: \[ (5, 8) \rightarrow (8, -5) \]

Therefore, the new point after a 270-degree clockwise rotation of (5, 8) is \((8, -5)\).

The correct answer is:

(8, −5)