there is a shape on the grid. the coordinates are

Question

A(-8,-5), B(-4,-2), C(-2,-5), and D(-4,-8)
Imagine a 90 degree (counterclockwise) rotation about the origin of the figure in the image. select the coordinate of D'

Answer 1

To perform a 90-degree counterclockwise rotation about the origin, you can use the transformation rule for the coordinates \((x, y)\), which becomes \((-y, x)\).

For point D, with coordinates (-4, -8):

1. Identify the coordinates: \(x = -4\) and \(y = -8\).
2. Apply the transformation:
   • New x-coordinate: \(-y = -(-8) = 8\)
   • New y-coordinate: \(x = -4\)

Thus, the coordinates of point D' after the rotation will be:

D' = (8, -4)