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A (-8,2) B (-8,8) C (-5,2)

Use rotation mapping to locate A' after a -90 degree (clockwise) rotation about the origin.

a. A' = (2, 8)
b. A' = (-2, -8)
c. A' = (-2, 8)
d. A' = (2, -8)

1 answer

To locate point A' after a -90 degree (clockwise) rotation about the origin, we can use the rotation transformation rules for coordinates.

The formula for a -90 degree rotation (or 270 degrees counterclockwise) about the origin is:

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

For point A (-8, 2):

  1. Identify the coordinates:

    • \(x = -8\)
    • \(y = 2\)

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

Thus, the new coordinates for A' after a -90 degree rotation are:

\[ A' = (2, 8) \]

So, the correct choice is:

a. A' = (2, 8)