Question

the diagram shows a right triangle. if the triangle is rotated 90° counterclockwise about the origin, what will the image be?

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(-y,x)$.

Step2: Apply rule to triangle

Apply the rule to each vertex of the right - triangle. Each vertex's coordinates will be transformed according to $(-y,x)$. The shape of the triangle will change its orientation in the coordinate - plane.

Answer:

The triangle will be oriented such that each of its vertices has been transformed according to the 90 - degree counter - clockwise rotation rule about the origin, resulting in a new position and orientation in the coordinate plane.