Question

the following figure represents the rotation of △tuv to △tuv. find the angle of rotation in degrees counter - clockwise around the origin.
answer: degrees
a) 90 degrees counterclockwises
b) 180 degrees counterclockwise
c) 90 degrees clockwise
d) 270 degrees counterclockwise

Explanation:

Step1: Analyze rotation direction

Observe the position change of the triangle. The new - position of the triangle is obtained by rotating the original triangle counter - clockwise.

Step2: Determine rotation angle

For a 90 - degree counter - clockwise rotation, the coordinates of a point $(x,y)$ in the original figure will change to $(-y,x)$. By comparing the orientation of the two triangles, we can see that it is a 90 - degree counter - clockwise rotation.

Answer:

A. 90 degrees counterclockwise