Atriangle is rotated 90° about the origin. which rule describes the transformation?
(x, y) → (–x, –y)
(x, y) → (–y, x)
(x, y) → (–y, –x)
(x, y) → (y, –x)

We already know there are four types of transformation geometry: Translation, Reflection, Rotation, and Dilation.  

However, we must moreover know about the use of multiplier matrices in transformation geometry. The matrix used in rotation 90° in the counterclockwise direction, in other words, a positive angle 90°, is

State (x, y) as the initial coordinate and (x', y') as the final coordinate.

The results of rotation are obtained from the multiplication of the matrix with the initial coordinates.

It can be concluded that if a point is rotated 90° about the origin, the rule that describes the transformation is

Example:

Triangle ABC with coordinates of points A (3, 2), B (6, 2), and C (3, 6) is rotated 90 about the origin. The points of rotation results are called A', B', and C'.

Let's find out the rotation results called A', B', and C' implementing the rule above.

Keywords: triangle, rotated, rotation, 90 degrees, about the origin, transformation geometry, translation, reflection, dilation, multiplier matrix, initial coordinate, rule, describes

idk

step-by-step explanation:

use that smart brain