The rotation function mapping for a 90-degree clockwise rotation about the origin is equivalent to which other transformation mapping?(1 point)%0D%0AResponses%0D%0A%0D%0Aa 270 degrees counterclockwise rotation%0D%0Aa 270 degrees counterclockwise rotation%0D%0A%0D%0Aa dilation with a scale factor of 14%0D%0Aa dilation with a scale factor of Start Fraction 1 over 2 End Fraction%0D%0A%0D%0Aa reflection over the line y=x%0D%0Aa reflection over the line y equals x%0D%0A%0D%0Aa translation

Answer 1

A 90-degree clockwise rotation about the origin can be represented by the transformation of the coordinates of a point \((x, y)\) to \((y, -x)\).

To find an equivalent transformation, we can consider the other options given:

1. 270 degrees counterclockwise rotation: This is equivalent to a 90-degree clockwise rotation. A 270-degree counterclockwise rotation transforms \((x, y)\) to \((-y, x)\), which is equivalent to \((y, -x)\) when you think of the rotations in terms of how they affect the position of points in a cartesian coordinate system.

Thus, the correct answer is a 270 degrees counterclockwise rotation.