Question

10. Which representation of a transformation on a coordinate grid does not preserve orientation? A. (x, y) → (4x, 4y) A. , , , , , , x... Y... Symbol... 4 x... 4 y, , B. (x, y) → (−y, x) B. , , , , , x... Y... Symbol... Negative y... X, , , , , C. (x, y) → (14x, 14y) C. , , , , , x... Y... Symbol... 1 over 4x... 1 over 4y, , , , , D. (x, y) → (x, −y) D. , x... Y... Symbol... X... Negative y, , , , ,

Answer 1

D. (x, y) → (x, −y)

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.

The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.

The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.

The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.

The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.