Rotate the point (5, 8)

Question

on a geometric figure 270 degrees clockwise. What is the new point

Answer 1

To rotate the point \((5, 8)\) 270 degrees clockwise, we can use the rotation transformation.

First, it's important to note that a 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation. We can apply the following transformation for a 90-degree counterclockwise rotation:

• The point \((x, y)\) will transform to \((-y, x)\).

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

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

   • \(x = 5\)
   • \(y = 8\)

2. Apply the transformation: \[ (-y, x) = (-8, 5) \]

Therefore, after rotating the point (5, 8) 270 degrees clockwise, the new coordinates are \((-8, 5)\).